6th Grade Percent Word Problems - Free Printable
Educational worksheet: 6th Grade Percent Word Problems. Download and print for classroom or home learning activities.
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Step-by-step solution for: 6th Grade Percent Word Problems
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Show Answer Key & Explanations
Step-by-step solution for: 6th Grade Percent Word Problems
Let's solve each of these percentage word problems step by step.
---
Step 1: Find the total number of pies sold.
$$
32 \text{ (apple)} + 33 \text{ (pumpkin)} + 20 \text{ (cherry)} + 15 \text{ (chocolate)} = 100 \text{ pies}
$$
Step 2: Find how many were apple or cherry.
$$
32 + 20 = 52 \text{ pies}
$$
Step 3: Calculate the percentage:
$$
\frac{52}{100} \times 100\% = 52\%
$$
✔ Answer: 52%
---
Step 1: If they watched 50%, then the remaining 50% is 65 minutes.
So, 50% of the movie = 65 minutes.
Step 2: Let the total length be $ x $. Then:
$$
0.5x = 65
$$
Solve for $ x $:
$$
x = \frac{65}{0.5} = 130 \text{ minutes}
$$
✔ Answer: 130 minutes
---
Step 1: Total sales Monday and Tuesday:
$$
22 + 18 = 40 \text{ cars}
$$
This is 25% of the total weekly sales.
Step 2: Let total weekly sales be $ x $. Then:
$$
0.25x = 40
$$
Solve for $ x $:
$$
x = \frac{40}{0.25} = 160
$$
✔ Answer: 160 cars
---
Step 1: Total percentage spent on food and rent:
$$
15\% + 35\% = 50\%
$$
So, she has 50% left over, which is $350.
Step 2: Let total budget be $ x $. Then:
$$
0.50x = 350
$$
Solve for $ x $:
$$
x = \frac{350}{0.50} = 700
$$
✔ Answer: $700
---
Step 1: Vegans among 6th graders:
$$
10\% \text{ of } 30 = 0.10 \times 30 = 3
$$
Step 2: Vegans among 7th graders:
$$
25\% \text{ of } 40 = 0.25 \times 40 = 10
$$
Step 3: Total vegans:
$$
3 + 10 = 13
$$
✔ Answer: 13 vegans
---
Step 1: 20% of Newton’s jump:
$$
0.20 \times 400 = 80 \text{ cm}
$$
Step 2: Tyger’s jump:
$$
400 + 80 = 480 \text{ cm}
$$
✔ Answer: 480 cm
---
1) 52%
2) 130 minutes
3) 160 cars
4) $700
5) 13 vegans
6) 480 cm
All answers are rounded to the nearest whole number where appropriate — all are already whole numbers.
Let me know if you'd like this formatted as a printable answer sheet!
---
1) A pie shop sells 32 apple pies, 33 pumpkin pies, 20 cherry pies, and 15 chocolate pies. What percentage of pies sold were apple or cherry?
Step 1: Find the total number of pies sold.
$$
32 \text{ (apple)} + 33 \text{ (pumpkin)} + 20 \text{ (cherry)} + 15 \text{ (chocolate)} = 100 \text{ pies}
$$
Step 2: Find how many were apple or cherry.
$$
32 + 20 = 52 \text{ pies}
$$
Step 3: Calculate the percentage:
$$
\frac{52}{100} \times 100\% = 52\%
$$
✔ Answer: 52%
---
2) Newton watches a movie with his friends. They watch 50% of the movie and then take a break. They then watch the remaining 65 minutes. How long was the movie?
Step 1: If they watched 50%, then the remaining 50% is 65 minutes.
So, 50% of the movie = 65 minutes.
Step 2: Let the total length be $ x $. Then:
$$
0.5x = 65
$$
Solve for $ x $:
$$
x = \frac{65}{0.5} = 130 \text{ minutes}
$$
✔ Answer: 130 minutes
---
3) Captain’s Autos sells 22 used cars on Monday, and 18 cars on Tuesday. This was 25% of the number of sales for the week. How many cars did they sell altogether that week?
Step 1: Total sales Monday and Tuesday:
$$
22 + 18 = 40 \text{ cars}
$$
This is 25% of the total weekly sales.
Step 2: Let total weekly sales be $ x $. Then:
$$
0.25x = 40
$$
Solve for $ x $:
$$
x = \frac{40}{0.25} = 160
$$
✔ Answer: 160 cars
---
4) Sally spends 15% of her weekly budget on food, and 35% on rent. She has $350 left over. How much was her budget?
Step 1: Total percentage spent on food and rent:
$$
15\% + 35\% = 50\%
$$
So, she has 50% left over, which is $350.
Step 2: Let total budget be $ x $. Then:
$$
0.50x = 350
$$
Solve for $ x $:
$$
x = \frac{350}{0.50} = 700
$$
✔ Answer: $700
---
5) There are 30 6th graders and 40 7th graders in a group. 10% of the 6th graders and 25% of the 7th graders are vegan. How many vegans are in the group altogether?
Step 1: Vegans among 6th graders:
$$
10\% \text{ of } 30 = 0.10 \times 30 = 3
$$
Step 2: Vegans among 7th graders:
$$
25\% \text{ of } 40 = 0.25 \times 40 = 10
$$
Step 3: Total vegans:
$$
3 + 10 = 13
$$
✔ Answer: 13 vegans
---
6) Tyger and Newton have a long jump competition. Tyger jumps 20% further than Newton. If Newton jumps 400 cm, how far does Tyger jump?
Step 1: 20% of Newton’s jump:
$$
0.20 \times 400 = 80 \text{ cm}
$$
Step 2: Tyger’s jump:
$$
400 + 80 = 480 \text{ cm}
$$
✔ Answer: 480 cm
---
✔ Final Answers:
1) 52%
2) 130 minutes
3) 160 cars
4) $700
5) 13 vegans
6) 480 cm
All answers are rounded to the nearest whole number where appropriate — all are already whole numbers.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of 6th grade word problems worksheet.