Let's solve each of the
percent problems step by step. These are all based on finding percentages of values or determining final amounts after percentage changes.
---
1. Jamar bought a bicycle that cost $20.00 when it was new. If he eventually sold it for 10% of the original cost, how much was it sold for?
- Original cost = $20.00
- Sold for 10% of $20.00
- Calculation:
$$
10\% \text{ of } 20 = \frac{10}{100} \times 20 = 0.10 \times 20 = 2
$$
✔ Answer: $2.00
---
2. What is 20% of 35?
- Calculation:
$$
20\% \text{ of } 35 = \frac{20}{100} \times 35 = 0.20 \times 35 = 7
$$
✔ Answer: 7
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3. Donald earned $60.00 for a week's work. If he paid 20% of it in taxes, how much did he pay in taxes?
- Total earned = $60.00
- Taxes = 20% of $60.00
- Calculation:
$$
0.20 \times 60 = 12
$$
✔ Answer: $12.00
---
4. In a school of 55 students, 20% are boys. How many are boys?
- Total students = 55
- 20% of 55:
$$
0.20 \times 55 = 11
$$
✔ Answer: 11 boys
---
5. What is 10% of 90?
- Calculation:
$$
0.10 \times 90 = 9
$$
✔ Answer: 9
---
6. Alan earned $30.00 for a week's work. If he paid 10% of it in taxes, how much did he pay in taxes?
- Earned = $30.00
- Taxes = 10% of $30.00
- $$
0.10 \times 30 = 3
$$
✔ Answer: $3.00
---
7. In a school of 90 students, 10% are boys. How many are boys?
- 10% of 90:
$$
0.10 \times 90 = 9
$$
✔ Answer: 9 boys
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8. Salim bought a bicycle that cost $100.00 when it was new. If he eventually sold it for 14% of the original cost, how much was it sold for?
- Original cost = $100.00
- Sold for 14% of $100:
$$
0.14 \times 100 = 14
$$
✔ Answer: $14.00
---
9. Paul bought a bicycle that cost $50.00 when it was new. If he eventually sold it for 18% of the original cost, how much was it sold for?
- Original cost = $50.00
- Sold for 18% of $50:
$$
0.18 \times 50 = 9
$$
✔ Answer: $9.00
---
10. Katie earned $65.00 for a week's work. If she paid 20% of it in taxes, how much did she pay in taxes?
- Earned = $65.00
- Taxes = 20% of $65:
$$
0.20 \times 65 = 13
$$
✔ Answer: $13.00
---
✔ Final Answers:
1. $2.00
2. 7
3. $12.00
4. 11 boys
5. 9
6. $3.00
7. 9 boys
8. $14.00
9. $9.00
10. $13.00
---
🔍 Summary of Concepts Used:
- To find
X% of a number, use:
$$
\text{Percent} \times \text{Number} = \frac{X}{100} \times \text{Number}
$$
- This applies to calculating taxes, discounts, parts of a whole (like boys in a class), and sale prices.
Let me know if you'd like these explained with diagrams or visual models!
Parent Tip: Review the logic above to help your child master the concept of percentage worksheet grade 6.
