6th Grade Percent Word Problems - Free Printable

Here are the step-by-step solutions to all six percentage word problems from the worksheet:

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Problem 1:
> Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?

Solution:
- 10% of 120 = 0.10 × 120 = 12
- Tyger’s score = Captain’s score + 10% more = 120 + 12 = 132

✔ Answer: 132 points

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Problem 2:
> Frazer is saving up for a new laptop. He has saved 60% of the amount so far. If the laptop costs $320, how much more does he need to save?

Solution:
- Amount saved = 60% of $320 = 0.60 × 320 = $192
- Amount still needed = Total cost – Amount saved = 320 – 192 = $128

✔ Answer: $128

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Problem 3:
> Sally sprints 300 yards in a minute. Quadra runs 20% further than Sally in the same time. How far did Quadra sprint?

Solution:
- 20% of 300 = 0.20 × 300 = 60 yards
- Quadra’s distance = Sally’s distance + 20% more = 300 + 60 = 360 yards

✔ Answer: 360 yards

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Problem 4:
> Newton spends 25% of his free time each day reading. If he spends 40 minutes reading, how much free time does he have in hours and minutes?

Solution:
- Let total free time = *x* minutes.
- 25% of *x* = 40 → 0.25*x* = 40
- Solve for *x*: *x* = 40 ÷ 0.25 = 160 minutes
- Convert to hours and minutes: 160 minutes = 2 hours and 40 minutes (since 2 × 60 = 120; 160 – 120 = 40)

✔ Answer: 2 hours and 40 minutes

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Problem 5:
> There are some fish in an aquarium. 40% of the fish are angelfish. If there are 12 angelfish in the aquarium, how many fish altogether?

Solution:
- Let total number of fish = *x*
- 40% of *x* = 12 → 0.40*x* = 12
- Solve for *x*: *x* = 12 ÷ 0.40 = 30

✔ Answer: 30 fish

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Problem 6:
> Sally buys a tin of chocolates. She gives a quarter of the chocolates to Tyger, 10% to Newton, and 15% to Frazer. She keeps the remaining 15 chocolates for herself. How many chocolates were in the tin?

Solution:
- A quarter = 25%
- So total given away = 25% (Tyger) + 10% (Newton) + 15% (Frazer) = 50%
- Therefore, she kept 100% – 50% = 50% of the chocolates
- And we’re told she kept 15 chocolates → 50% of total = 15
- Let total = *x* → 0.50*x* = 15 → *x* = 15 ÷ 0.50 = 30

✔ Answer: 30 chocolates

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✔ Final Answers Summary:

1. 132 points
2. $128
3. 360 yards
4. 2 hours and 40 minutes
5. 30 fish
6. 30 chocolates

All answers are whole numbers as required.