I'll solve each problem on the "Percent Increase or Decrease Worksheet" using the formula:
Percent Change = ((New Value - Original Value) / Original Value) × 100
Let me go through each problem step by step:
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1. Before: 10, After: 17
- Change = 17 - 10 = 7
- Percent change = (7/10) × 100 = 70%
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Answer: 70% increase
2. Before: 15, After: 12
- Change = 12 - 15 = -3
- Percent change = (-3/15) × 100 = -20%
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Answer: 20% decrease
3. Before: 75, After: 60
- Change = 60 - 75 = -15
- Percent change = (-15/75) × 100 = -20%
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Answer: 20% decrease
4. Before: 110, After: 143
- Change = 143 - 110 = 33
- Percent change = (33/110) × 100 = 30%
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Answer: 30% increase
5. Before: 90, After: 108
- Change = 108 - 90 = 18
- Percent change = (18/90) × 100 = 20%
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Answer: 20% increase
6. Before: 260, After: 160
- Change = 160 - 260 = -100
- Percent change = (-100/260) × 100 ≈ -38.46%
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Answer: 38.46% decrease
7. 1994 Cost: $17.33, 1995 Cost: $201.59
- Change = 201.59 - 17.33 = 184.26
- Percent change = (184.26/17.33) × 100 ≈ 1063.24%
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Answer: 1063.24% increase
8. Regular Price: $33.99, Sale Price: $22.39
- Change = 22.39 - 33.99 = -11.60
- Percent change = (-11.60/33.99) × 100 ≈ -34.13%
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Answer: 34.13% decrease
9. Start Price: $521.73, End Price: $13.68
- Change = 13.68 - 521.73 = -508.05
- Percent change = (-508.05/521.73) × 100 ≈ -97.39%
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Answer: 97.39% decrease
10. 2004 Cost: $18.77, 2005 Cost: $19.17
- Change = 19.17 - 18.77 = 0.40
- Percent change = (0.40/18.77) × 100 ≈ 2.13%
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Answer: 2.13% increase
11. Original Number: 45, New Number: 72
- Change = 72 - 45 = 27
- Percent change = (27/45) × 100 = 60%
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Answer: 60% increase
12. Original Number: 45, New Number: 18
- Change = 18 - 45 = -27
- Percent change = (-27/45) × 100 = -60%
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Answer: 60% decrease
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Summary of Answers:
1. 70% increase
2. 20% decrease
3. 20% decrease
4. 30% increase
5. 20% increase
6. 38.46% decrease
7. 1063.24% increase
8. 34.13% decrease
9. 97.39% decrease
10. 2.13% increase
11. 60% increase
12. 60% decrease
The key is to always use the original value as the denominator in the formula and remember that positive results indicate increases while negative results indicate decreases.
Parent Tip: Review the logic above to help your child master the concept of percent increase and decrease worksheet.