The image you've uploaded is a
completed worksheet titled *"Percentage Increase / Decrease Word Problems 1 Answers"*, which provides solutions to six word problems involving percentage increases and decreases. Below, I will go through each problem step by step, explain the reasoning, and confirm the answers.
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🔹 Problem 1:
Problem:
I have $3500 which I leave in a savings account for a year. The interest rate on the account is 3%.
Question: How much will I have at the end of a year?
Working Out:
- 3% of $3500 = $105
- $3500 + $105 = $3605
✔ Answer: $3,605
Explanation:
This is a
percentage increase (interest earned).
To find 3% of $3500:
$$
\frac{3}{100} \times 3500 = 105
$$
Add that to the original amount:
$$
3500 + 105 = 3605
$$
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🔹 Problem 2:
Problem:
A laptop normally costs $640. It is reduced by 15% in a sale.
Question: What is the sale price of the laptop?
Working Out:
- 15% of $640 = $96
- $640 - $96 = $544
✔ Answer: $544
Explanation:
This is a
percentage decrease (discount).
Calculate 15% of 640:
$$
\frac{15}{100} \times 640 = 96
$$
Subtract from original price:
$$
640 - 96 = 544
$$
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🔹 Problem 3:
Problem:
Tyger scores 28 in a spelling test. His score improves by 25% the following week.
Question: What was his score?
Working Out:
- 25% of 28 = 7
- 28 + 7 = 35
✔ Answer: 35
Explanation:
This is a
percentage increase in score.
Find 25% of 28:
$$
\frac{25}{100} \times 28 = 7
$$
Add to original score:
$$
28 + 7 = 35
$$
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🔹 Problem 4:
Problem:
Frazer cycles 160 miles in one week. He cycles 20% fewer miles the following week.
Question: How far did he cycle?
Working Out:
- 20% of 160 = 32
- 160 – 32 = 128
✔ Answer: 128 miles
Explanation:
This is a
percentage decrease.
20% of 160:
$$
\frac{20}{100} \times 160 = 32
$$
Subtract from original distance:
$$
160 - 32 = 128
$$
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🔹 Problem 5:
Problem:
A Boeing 747 is at 25,000 ft. It climbs another 40% to get to cruising altitude.
Question: What is the cruising altitude of the plane?
Working Out:
- 40% of 25,000 = 10,000
- 25,000 + 10,000 = 35,000
✔ Answer: 35,000 ft
Explanation:
This is a
percentage increase in altitude.
40% of 25,000:
$$
\frac{40}{100} \times 25,000 = 10,000
$$
Add to initial altitude:
$$
25,000 + 10,000 = 35,000
$$
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🔹 Problem 6:
Problem:
The driest month in Montreal had 2.5 inches of rainfall. The wettest month had 40% more rainfall.
Question: How many inches did the wettest month have?
Working Out:
- 40% of 2.5 = 1.0
- 2.5 + 1.0 = 3.5
✔ Answer: 3.5 inches
Explanation:
Another
percentage increase.
40% of 2.5:
$$
\frac{40}{100} \times 2.5 = 1.0
$$
Add to original:
$$
2.5 + 1.0 = 3.5
$$
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✔ Summary of All Answers:
| Problem | Answer |
|--------|--------|
| 1 | $3,605 |
| 2 | $544 |
| 3 | 35 |
| 4 | 128 miles |
| 5 | 35,000 ft |
| 6 | 3.5 inches |
All the answers provided in the worksheet are
correct, and the working out is accurate and clearly explained.
Let me know if you'd like this converted into a printable PDF or need similar practice problems!
Parent Tip: Review the logic above to help your child master the concept of percent increase and decrease word problems worksheet.
