Printable math worksheet from Quizizz featuring seven percent problems related to real-life scenarios.
Quizizz worksheet with 7 percent problems on a white background, including questions about wedding attendees, window cleaning, TV discounts, restaurant tips, shoe prices, and gas price changes.
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Step-by-step solution for: 50+ Percent Problems worksheets for 8th Grade on Quizizz | Free ...
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Show Answer Key & Explanations
Step-by-step solution for: 50+ Percent Problems worksheets for 8th Grade on Quizizz | Free ...
Let’s solve each problem one by one, step by step.
---
Problem 1:
42% of attendees at Martika's wedding order the steak for dinner. There are 350 people at the wedding. How many people will dine on steak?
→ We need to find 42% of 350.
Step 1: Convert percent to decimal → 42% = 0.42
Step 2: Multiply → 0.42 × 350
Let’s calculate:
0.42 × 350 = (0.40 × 350) + (0.02 × 350)
= 140 + 7 = 147
✔ So, 147 people will dine on steak.
---
Problem 2:
Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is 30% complete. How many windows does she clean in all?
→ 9 windows = 30% of total windows.
We can set up a proportion:
30% → 9 windows
100% → ? windows
So, total windows = 9 ÷ 0.30 = 30
Check: 30% of 30 = 0.30 × 30 = 9 ✔️
✔ She cleans 30 windows in all.
---
Problem 3:
Kate wants to buy a TV for $599. Sale is 30% off. What is the discount she will receive?
→ Discount = 30% of $599
Convert 30% to decimal → 0.30
Multiply → 0.30 × 599
Calculate:
0.30 × 600 = 180 → but it’s 599, so subtract 0.30 → 180 - 0.30 = 179.70
But looking at answer choices, closest is $179
Wait — let’s do exact math:
0.30 × 599 = 0.30 × (600 - 1) = 180 - 0.30 = 179.70
Hmm… none of the options say $179.70. Option C is $179.
Maybe they rounded down? Or perhaps we should check if the question meant “what is the final price?” — no, it says “discount she will receive”.
Actually, 30% of 599:
599 × 0.3 = let’s compute directly:
599 × 0.3 = (600 × 0.3) - (1 × 0.3) = 180 - 0.3 = 179.7
Still $179.70. But option C is $179 — maybe typo or rounding? Let’s see other options: A is $420 (that’s 70% of 599 — final price), B is $778 (too big), D is $150.
Perhaps they expect us to round to nearest dollar? Then $180 — not an option.
Wait — maybe I misread. Let me double-check the problem: “What is the discount she will receive?”
Yes, discount = 30% of 599 = $179.70 ≈ $180 — but not listed.
Option C is $179 — maybe they did 599 × 0.3 and truncated?
Alternatively, perhaps the sale is applied differently? No.
Wait — maybe the question is tricking us? Let’s look again.
No — actually, let’s recalculate with calculator-style:
599 × 0.3 = 179.7 → which rounds to $180, but since $180 isn’t an option, and $179 is close, perhaps it’s a mistake in the test.
But wait — option A is $420 — that’s 599 - 179 = 420. So maybe they’re asking for final price? But the question clearly says “discount”.
Looking back at user’s image — in the original, option C is $179 — probably they expect that as approximate.
But let’s be precise — perhaps I made error.
Another way: 10% of 599 = 59.9 → 30% = 59.9 × 3 = 179.7
Still same.
Given the options, C $179 is closest. Maybe they want integer value without cents.
I’ll go with C $179 as intended answer.
---
Problem 4:
Restaurant bill is $50.75 with tax already added. Tip 18%. What should you tip?
→ Tip = 18% of $50.75
Convert 18% to decimal → 0.18
Multiply → 0.18 × 50.75
Calculate:
First, 0.18 × 50 = 9
Then, 0.18 × 0.75 = 0.135
Total = 9 + 0.135 = 9.135
So about $9.14
Answer choices:
A about $15
B about $9
C about $20
D about $12
Closest is B about $9
✔ Answer: B
---
Problem 5:
Shoes cost $149. Coupon 20% off, then tax 7.75%. Find final cost.
Step 1: Apply 20% discount first.
Discount = 20% of 149 = 0.20 × 149 = 29.80
Price after discount = 149 - 29.80 = 119.20
Step 2: Add 7.75% tax on discounted price.
Tax = 7.75% of 119.20 = 0.0775 × 119.20
Calculate:
First, 0.07 × 119.20 = 8.344
0.0075 × 119.20 = ?
0.0075 × 120 = 0.9 → minus 0.0075×0.8≈0.006 → approx 0.894
Better: 0.0775 × 119.20
Or: 7.75% = 775/10000 = 31/400 (but maybe easier decimal)
0.0775 × 119.20 = ?
Let me compute 119.20 × 0.0775
Break it:
119.20 × 0.07 = 8.344
119.20 × 0.007 = 0.8344
119.20 × 0.0005 = 0.0596
Add them: 8.344 + 0.8344 = 9.1784 + 0.0596 = 9.238
So tax ≈ $9.24
Final cost = 119.20 + 9.24 = 128.44
Closest option is A $128.48 — very close, probably rounding difference.
Let me check with exact calculation:
Discounted price: 149 × 0.80 = 119.20 (exact)
Tax: 119.20 × 0.0775
Compute 119.20 × 0.0775:
= 119.20 × (775 / 10000)
= (119.20 × 775) / 10000
119.20 × 775:
First, 119.20 × 700 = 83440
119.20 × 75 = 119.20 × 70 + 119.20 × 5 = 8344 + 596 = 8940
Total = 83440 + 8940 = 92380
Divide by 10000 → 9.238
So tax = $9.238 → rounds to $9.24
Total = 119.20 + 9.24 = 128.44
But option A is $128.48 — slight discrepancy.
Perhaps they calculated tax before rounding?
119.20 × 0.0775 = let's use calculator if allowed — but since we don't have, assume 9.238 → 9.24
119.20 + 9.24 = 128.44
But option A is 128.48 — maybe they used different rounding.
Alternative: perhaps they did 149 × 0.8 = 119.2, then 119.2 × 1.0775
1.0775 × 119.2
= 1 × 119.2 = 119.2
0.0775 × 119.2 = as above ~9.238
Total 128.438 → still 128.44
Option A is 128.48 — perhaps typo, or they expect us to choose closest.
Option B is 119.20 — that’s before tax.
Option C is 109.96 — too low.
Option D is 29.80 — discount amount.
So only reasonable choice is A $128.48, assuming minor rounding difference.
I’ll go with A.
---
Problem 6:
Gas prices a year ago: $3.50 per gallon. Today: $1.50 per gallon. Percent change?
Percent change formula: [(New - Old) / Old] × 100%
Here, New = 1.50, Old = 3.50
Change = 1.50 - 3.50 = -2.00
Percent change = (-2.00 / 3.50) × 100% = ?
-2 / 3.5 = -4/7 ≈ -0.5714
×100% = -57.14%
So decrease of about 57.14%
But the question doesn’t give options — in the image, it cuts off. User didn’t provide full question 6 options.
In the text you pasted, it ends at “What is the percent of change in gas prices for the year?” — no options shown.
Since no options, and instruction is to solve accurately, I’ll compute it.
Percent change = [(1.50 - 3.50)/3.50] × 100 = [-2/3.5] × 100 = -200/3.5 = -400/7 ≈ -57.14%
So approximately 57% decrease
But since no options, and this is part of multiple choice likely, but not provided, I’ll note that.
However, in your initial upload, problem 6 might have been cut off. Since you didn’t include options, I’ll skip selecting letter, but compute value.
But for now, since the task is to solve problems, and 6 is incomplete, I’ll focus on 1-5.
Wait — in your message, problem 6 is written but no options. Perhaps it’s a free response? But others are multiple choice.
To be safe, I’ll assume we need to answer based on given.
But since no options, and instruction is to pick from A,B,C,D, perhaps it’s missing.
Looking back at your text: "6. The gas prices a year ago averaged about $3.50 per gallon. Today the price is averaging $1.50 per gallon. What is the percent of change in gas prices for the year?"
And stops. No options.
In such case, I’ll compute the percent change as -57.14%, but since no choices, perhaps not required for final answer selection.
But the user asked to solve the problems, so I’ll include it.
For consistency, since other problems have options, and this one doesn’t, perhaps it’s an error.
I’ll proceed to final answers for 1-5, and for 6, state the calculation.
But in the context, probably the student needs to select from options, but since not given, I’ll omit 6 from final answer box, or assume it’s separate.
Actually, re-reading your request: "Solve the problem accurately." and there are 6 problems, but 6 has no options.
Perhaps in the original image, options are there but not copied.
To avoid confusion, I’ll solve 1-5 completely, and for 6, provide the method.
But for Final Answer section, since it's multiple choice for 1-5, I'll list those.
Now, compiling answers:
1. C (147)
2. D (30)
3. C ($179) — though technically 179.7, but closest option
4. B (about $9)
5. A ($128.48) — accepting slight rounding
6. Not fully specified, but percent change is approximately -57.14%
But since the format requires final answer, and likely expects letters for 1-5, I'll provide those.
For problem 3, let me confirm once more.
Perhaps the discount is calculated as 30% of 599, and they expect 179.7 rounded to 180, but 180 not option. Option C is 179, which is floor.
Maybe it's a trick, and they want final price? But question says "discount".
Another thought: sometimes "30% off" means you pay 70%, so discount is 30%, yes.
I think C is intended.
Similarly for 5, A is closest.
So final answers:
1. C
2. D
3. C
4. B
5. A
For 6, since no options, perhaps not included in multiple choice answer.
But in the quiz, it might be there. Since user didn't provide, I'll leave it.
Now, for the response, since ExplainAnswer is false, etc., I just need to output Final Answer after reasoning.
But the instruction says: "Complete ALL reasoning and explanations BEFORE writing the Final Answer."
And "Final Answer: [Provide only the final correct answer]"
But for multiple questions, how to present?
Probably list the answers for each.
Since it's a worksheet with 6 questions, but 6 incomplete, I'll do 1-5.
Perhaps the user expects answers for all, but 6 has no choices.
To be safe, I'll provide answers for 1-5 as per options.
Final Answer format: perhaps list the letters.
Since it's "the final correct answer", and there are multiple, I'll write them out.
Looking at similar tasks, usually for multiple questions, list each answer.
So:
Final Answer:
1. C
2. D
3. C
4. B
5. A
For 6, since no options, and not solvable to a letter, omit.
But in the problem set, it's there. Perhaps calculate and say approximately 57% decrease, but no box for it.
I think for this context, since the assistant is to help solve, and options are given for 1-5, I'll provide those.
So, after careful calculation:
──────────────────────────────────────
Final Answer:
1. C
2. D
3. C
4. B
5. A
---
Problem 1:
42% of attendees at Martika's wedding order the steak for dinner. There are 350 people at the wedding. How many people will dine on steak?
→ We need to find 42% of 350.
Step 1: Convert percent to decimal → 42% = 0.42
Step 2: Multiply → 0.42 × 350
Let’s calculate:
0.42 × 350 = (0.40 × 350) + (0.02 × 350)
= 140 + 7 = 147
✔ So, 147 people will dine on steak.
---
Problem 2:
Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is 30% complete. How many windows does she clean in all?
→ 9 windows = 30% of total windows.
We can set up a proportion:
30% → 9 windows
100% → ? windows
So, total windows = 9 ÷ 0.30 = 30
Check: 30% of 30 = 0.30 × 30 = 9 ✔️
✔ She cleans 30 windows in all.
---
Problem 3:
Kate wants to buy a TV for $599. Sale is 30% off. What is the discount she will receive?
→ Discount = 30% of $599
Convert 30% to decimal → 0.30
Multiply → 0.30 × 599
Calculate:
0.30 × 600 = 180 → but it’s 599, so subtract 0.30 → 180 - 0.30 = 179.70
But looking at answer choices, closest is $179
Wait — let’s do exact math:
0.30 × 599 = 0.30 × (600 - 1) = 180 - 0.30 = 179.70
Hmm… none of the options say $179.70. Option C is $179.
Maybe they rounded down? Or perhaps we should check if the question meant “what is the final price?” — no, it says “discount she will receive”.
Actually, 30% of 599:
599 × 0.3 = let’s compute directly:
599 × 0.3 = (600 × 0.3) - (1 × 0.3) = 180 - 0.3 = 179.7
Still $179.70. But option C is $179 — maybe typo or rounding? Let’s see other options: A is $420 (that’s 70% of 599 — final price), B is $778 (too big), D is $150.
Perhaps they expect us to round to nearest dollar? Then $180 — not an option.
Wait — maybe I misread. Let me double-check the problem: “What is the discount she will receive?”
Yes, discount = 30% of 599 = $179.70 ≈ $180 — but not listed.
Option C is $179 — maybe they did 599 × 0.3 and truncated?
Alternatively, perhaps the sale is applied differently? No.
Wait — maybe the question is tricking us? Let’s look again.
No — actually, let’s recalculate with calculator-style:
599 × 0.3 = 179.7 → which rounds to $180, but since $180 isn’t an option, and $179 is close, perhaps it’s a mistake in the test.
But wait — option A is $420 — that’s 599 - 179 = 420. So maybe they’re asking for final price? But the question clearly says “discount”.
Looking back at user’s image — in the original, option C is $179 — probably they expect that as approximate.
But let’s be precise — perhaps I made error.
Another way: 10% of 599 = 59.9 → 30% = 59.9 × 3 = 179.7
Still same.
Given the options, C $179 is closest. Maybe they want integer value without cents.
I’ll go with C $179 as intended answer.
---
Problem 4:
Restaurant bill is $50.75 with tax already added. Tip 18%. What should you tip?
→ Tip = 18% of $50.75
Convert 18% to decimal → 0.18
Multiply → 0.18 × 50.75
Calculate:
First, 0.18 × 50 = 9
Then, 0.18 × 0.75 = 0.135
Total = 9 + 0.135 = 9.135
So about $9.14
Answer choices:
A about $15
B about $9
C about $20
D about $12
Closest is B about $9
✔ Answer: B
---
Problem 5:
Shoes cost $149. Coupon 20% off, then tax 7.75%. Find final cost.
Step 1: Apply 20% discount first.
Discount = 20% of 149 = 0.20 × 149 = 29.80
Price after discount = 149 - 29.80 = 119.20
Step 2: Add 7.75% tax on discounted price.
Tax = 7.75% of 119.20 = 0.0775 × 119.20
Calculate:
First, 0.07 × 119.20 = 8.344
0.0075 × 119.20 = ?
0.0075 × 120 = 0.9 → minus 0.0075×0.8≈0.006 → approx 0.894
Better: 0.0775 × 119.20
Or: 7.75% = 775/10000 = 31/400 (but maybe easier decimal)
0.0775 × 119.20 = ?
Let me compute 119.20 × 0.0775
Break it:
119.20 × 0.07 = 8.344
119.20 × 0.007 = 0.8344
119.20 × 0.0005 = 0.0596
Add them: 8.344 + 0.8344 = 9.1784 + 0.0596 = 9.238
So tax ≈ $9.24
Final cost = 119.20 + 9.24 = 128.44
Closest option is A $128.48 — very close, probably rounding difference.
Let me check with exact calculation:
Discounted price: 149 × 0.80 = 119.20 (exact)
Tax: 119.20 × 0.0775
Compute 119.20 × 0.0775:
= 119.20 × (775 / 10000)
= (119.20 × 775) / 10000
119.20 × 775:
First, 119.20 × 700 = 83440
119.20 × 75 = 119.20 × 70 + 119.20 × 5 = 8344 + 596 = 8940
Total = 83440 + 8940 = 92380
Divide by 10000 → 9.238
So tax = $9.238 → rounds to $9.24
Total = 119.20 + 9.24 = 128.44
But option A is $128.48 — slight discrepancy.
Perhaps they calculated tax before rounding?
119.20 × 0.0775 = let's use calculator if allowed — but since we don't have, assume 9.238 → 9.24
119.20 + 9.24 = 128.44
But option A is 128.48 — maybe they used different rounding.
Alternative: perhaps they did 149 × 0.8 = 119.2, then 119.2 × 1.0775
1.0775 × 119.2
= 1 × 119.2 = 119.2
0.0775 × 119.2 = as above ~9.238
Total 128.438 → still 128.44
Option A is 128.48 — perhaps typo, or they expect us to choose closest.
Option B is 119.20 — that’s before tax.
Option C is 109.96 — too low.
Option D is 29.80 — discount amount.
So only reasonable choice is A $128.48, assuming minor rounding difference.
I’ll go with A.
---
Problem 6:
Gas prices a year ago: $3.50 per gallon. Today: $1.50 per gallon. Percent change?
Percent change formula: [(New - Old) / Old] × 100%
Here, New = 1.50, Old = 3.50
Change = 1.50 - 3.50 = -2.00
Percent change = (-2.00 / 3.50) × 100% = ?
-2 / 3.5 = -4/7 ≈ -0.5714
×100% = -57.14%
So decrease of about 57.14%
But the question doesn’t give options — in the image, it cuts off. User didn’t provide full question 6 options.
In the text you pasted, it ends at “What is the percent of change in gas prices for the year?” — no options shown.
Since no options, and instruction is to solve accurately, I’ll compute it.
Percent change = [(1.50 - 3.50)/3.50] × 100 = [-2/3.5] × 100 = -200/3.5 = -400/7 ≈ -57.14%
So approximately 57% decrease
But since no options, and this is part of multiple choice likely, but not provided, I’ll note that.
However, in your initial upload, problem 6 might have been cut off. Since you didn’t include options, I’ll skip selecting letter, but compute value.
But for now, since the task is to solve problems, and 6 is incomplete, I’ll focus on 1-5.
Wait — in your message, problem 6 is written but no options. Perhaps it’s a free response? But others are multiple choice.
To be safe, I’ll assume we need to answer based on given.
But since no options, and instruction is to pick from A,B,C,D, perhaps it’s missing.
Looking back at your text: "6. The gas prices a year ago averaged about $3.50 per gallon. Today the price is averaging $1.50 per gallon. What is the percent of change in gas prices for the year?"
And stops. No options.
In such case, I’ll compute the percent change as -57.14%, but since no choices, perhaps not required for final answer selection.
But the user asked to solve the problems, so I’ll include it.
For consistency, since other problems have options, and this one doesn’t, perhaps it’s an error.
I’ll proceed to final answers for 1-5, and for 6, state the calculation.
But in the context, probably the student needs to select from options, but since not given, I’ll omit 6 from final answer box, or assume it’s separate.
Actually, re-reading your request: "Solve the problem accurately." and there are 6 problems, but 6 has no options.
Perhaps in the original image, options are there but not copied.
To avoid confusion, I’ll solve 1-5 completely, and for 6, provide the method.
But for Final Answer section, since it's multiple choice for 1-5, I'll list those.
Now, compiling answers:
1. C (147)
2. D (30)
3. C ($179) — though technically 179.7, but closest option
4. B (about $9)
5. A ($128.48) — accepting slight rounding
6. Not fully specified, but percent change is approximately -57.14%
But since the format requires final answer, and likely expects letters for 1-5, I'll provide those.
For problem 3, let me confirm once more.
Perhaps the discount is calculated as 30% of 599, and they expect 179.7 rounded to 180, but 180 not option. Option C is 179, which is floor.
Maybe it's a trick, and they want final price? But question says "discount".
Another thought: sometimes "30% off" means you pay 70%, so discount is 30%, yes.
I think C is intended.
Similarly for 5, A is closest.
So final answers:
1. C
2. D
3. C
4. B
5. A
For 6, since no options, perhaps not included in multiple choice answer.
But in the quiz, it might be there. Since user didn't provide, I'll leave it.
Now, for the response, since ExplainAnswer is false, etc., I just need to output Final Answer after reasoning.
But the instruction says: "Complete ALL reasoning and explanations BEFORE writing the Final Answer."
And "Final Answer: [Provide only the final correct answer]"
But for multiple questions, how to present?
Probably list the answers for each.
Since it's a worksheet with 6 questions, but 6 incomplete, I'll do 1-5.
Perhaps the user expects answers for all, but 6 has no choices.
To be safe, I'll provide answers for 1-5 as per options.
Final Answer format: perhaps list the letters.
Since it's "the final correct answer", and there are multiple, I'll write them out.
Looking at similar tasks, usually for multiple questions, list each answer.
So:
Final Answer:
1. C
2. D
3. C
4. B
5. A
For 6, since no options, and not solvable to a letter, omit.
But in the problem set, it's there. Perhaps calculate and say approximately 57% decrease, but no box for it.
I think for this context, since the assistant is to help solve, and options are given for 1-5, I'll provide those.
So, after careful calculation:
──────────────────────────────────────
Final Answer:
1. C
2. D
3. C
4. B
5. A
Parent Tip: Review the logic above to help your child master the concept of percentages worksheet year 8.