Let’s solve each problem one by one, step by step.
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Problem 1:
Cary’s dad gave her $20.00. She spent 85% of it on shoes.
We need to find how much money she has left — that’s what her dad gets back.
Step 1: Find 85% of $20.00
→ 85% = 0.85
→ 0.85 × 20 = 17
So she spent $17.00.
Step 2: Subtract from original amount
→ 20 - 17 = 3
✔ Cary’s dad gets back
$3.00
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Problem 2:
30% of 60 students said dogs were their favorite pets.
Find how many students preferred dogs.
Step 1: Convert percent to decimal → 30% = 0.30
Step 2: Multiply by total students → 0.30 × 60 = 18
✔ Answer:
A) 18
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Problem 3:
Of 520 students, 65% ride the bus.
Find how many ride the bus.
Step 1: 65% = 0.65
Step 2: 0.65 × 520
Let’s calculate:
0.65 × 500 = 325
0.65 × 20 = 13
Total = 325 + 13 = 338
✔ Answer:
B) 338 students
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Problem 4:
Shirt originally cost $25.00.
First discount: 10% off → so price becomes 90% of original.
Second discount: additional 20% off the *original* price? Wait — let’s read carefully.
It says: “Today, it is an additional 20% off the original price.”
That means both discounts are taken off the original price — not compounded.
So total discount = 10% + 20% = 30% off original.
Step 1: 30% of $25 = 0.30 × 25 = 7.50
Step 2: New price = 25 - 7.50 = 17.50
Wait — but sometimes “additional” can mean applied after first discount. Let’s check wording again:
> “It was on sale two weeks ago for 10% off. Today, it is an additional 20% off the original price.”
The phrase “off the original price” tells us both discounts are based on original $25.
So yes — total 30% off → $25 × 0.70 = $17.50
But let’s double-check if “additional 20% off” might mean 20% off the already discounted price.
If it meant that, it would say “an additional 20% off the sale price” or similar.
Since it explicitly says “off the original price”, we take both off original.
✔ Final price:
$17.50
*(Note: If interpreted as sequential discounts — 10% then 20% off new price — answer would be different. But per wording, we go with 30% off original.)*
Actually — wait! Let me re-read:
> “It was on sale two weeks ago for 10% off. Today, it is an additional 20% off the original price.”
This is ambiguous in real life, but since it says “off the original price” for the second discount, it implies both are subtracted from original.
But in most math problems, “additional X% off” usually means applied to current price unless specified otherwise.
Hmm. Let’s test both ways.
Option A (both off original):
Discount = 10% + 20% = 30% → 25 × 0.7 = $17.50
Option B (sequential):
After 10% off: 25 × 0.9 = $22.50
Then 20% off that: 22.50 × 0.8 = $18.00
Which is correct?
Looking at exact wording: “an additional 20% off the original price”
That strongly suggests the 20% is also calculated from original $25.
So total reduction = 10% + 20% = 30% → $7.50 off → $17.50
I think that’s intended.
✔ Answer:
$17.50
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Problem 5:
Sam had 9 puppies. Now has 4 left. So he gave away 5.
Percent change = (change / original) × 100%
Change = 9 - 4 = 5 decrease
Original = 9
Percent decrease = (5 / 9) × 100 ≈ ?
5 ÷ 9 = 0.555... → ×100 = 55.55...% → rounds to
56%
And it’s a decrease.
✔ Answer:
A) 56% decrease
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Problem 6:
Lisa’s brother weighed 8 pounds at birth. Now weighs 36 pounds.
Percent increase = [(new - old) / old] × 100%
Increase = 36 - 8 = 28
Percent increase = (28 / 8) × 100 = 3.5 × 100 = 350%
✔ Answer:
D) 350%
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Final Answers:
1. $3.00
2. A) 18
3. B) 338 students
4. $17.50
5. A) 56% decrease
6. D) 350%
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Final Answer:
1. $3.00
2. A
3. B
4. $17.50
5. A
6. D
Parent Tip: Review the logic above to help your child master the concept of percentage word problems worksheet for grade 7.