I will solve each of the six percentage change problems step by step.
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Problem 1: Temperature in New York
- Original temperature = 52°F
- New temperature = 36°F
- Change = 36 - 52 = -16°F (it fell)
- Percentage change = (Change / Original) × 100
→ (-16 / 52) × 100 = -30.769... ≈
-30.8%
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Problem 2: Sally’s pay rise
- Original wage = $14
- New wage = $17
- Change = 17 - 14 = +$3
- Percentage change = (3 / 14) × 100 = 21.428... ≈
21.4%
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Problem 3: Frazer’s amp output
- Original output = 30 watts
- New output = 50 watts
- Change = 50 - 30 = +20 watts
- Percentage change = (20 / 30) × 100 = 66.666... ≈
66.7%
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Problem 4: Drone price reduction
- Original price = $75
- New price = $49
- Change = 49 - 75 = -$26
- Percentage change = (-26 / 75) × 100 = -34.666... ≈
-34.7%
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Problem 5: Captains typing speed
- Original speed = 16 wpm
- New speed = 21 wpm
- Change = 21 - 16 = +5 wpm
- Percentage change = (5 / 16) × 100 = 31.25 ≈
31.3%
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Problem 6: Rainfall between April and May
- April rainfall = 3.60 inches
- May rainfall = 5.15 inches
- Change = 5.15 - 3.60 = +1.55 inches
- Percentage change = (1.55 / 3.60) × 100 = 43.055... ≈
43.1%
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Final Answer:
1) -30.8%
2) 21.4%
3) 66.7%
4) -34.7%
5) 31.3%
6) 43.1%
Parent Tip: Review the logic above to help your child master the concept of percent increase and decrease word problems worksheet with answers.
