Math worksheet with percentage change word problems.

Let's solve each of these percentage change problems step by step. The general formula for percentage change is:

$$
\text{Percentage Change} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100\%
$$

- If the result is positive, it’s a percentage increase.
- If the result is negative, it’s a percentage decrease.

We’ll round answers to the nearest percent as instructed.

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1) Labrador Retriever Weight Loss

- Original weight: 48 kg
- New weight: 41 kg

$$
\text{Change} = 41 - 48 = -7\ \text{kg}
$$

$$
\text{Percentage loss} = \left( \frac{-7}{48} \right) \times 100\% = -14.583...\% \approx -15\%
$$

✔ Answer: 15% loss

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2) DVD Price Reduction

- Original price: $15
- Sale price: $9.75

$$
\text{Change} = 9.75 - 15 = -5.25
$$

$$
\text{Percentage reduction} = \left( \frac{-5.25}{15} \right) \times 100\% = -35\%
$$

✔ Answer: 35% reduction

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3) Sally’s Long-Jump Increase

- First jump: 5.7 m
- Second jump: 6.2 m

$$
\text{Change} = 6.2 - 5.7 = 0.5\ \text{m}
$$

$$
\text{Percentage increase} = \left( \frac{0.5}{5.7} \right) \times 100\% \approx 8.7719\% \approx 9\%
$$

✔ Answer: 9% increase

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4) Tyger’s Sugar Intake Reduction

- Original: 15 spoons/day
- New: 9.5 spoons/day (since 9½ = 9.5)

$$
\text{Change} = 9.5 - 15 = -5.5
$$

$$
\text{Percentage reduction} = \left( \frac{-5.5}{15} \right) \times 100\% = -36.666...\% \approx -37\%
$$

✔ Answer: 37% reduction

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5) Frazer’s Cycling Distance Increase

- Week 1: 195 miles
- Week 2: 243 miles

$$
\text{Change} = 243 - 195 = 48\ \text{miles}
$$

$$
\text{Percentage increase} = \left( \frac{48}{195} \right) \times 100\% \approx 24.615\% \approx 25\%
$$

✔ Answer: 25% increase

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6) Frazer’s Speed Decrease

- First part speed: 21 mph
- Second part speed: 13 mph

$$
\text{Change} = 13 - 21 = -8\ \text{mph}
$$

$$
\text{Percentage decrease} = \left( \frac{-8}{21} \right) \times 100\% \approx -38.095\% \approx -38\%
$$

✔ Answer: 38% decrease

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✔ Final Answers Summary:

1) 15% loss
2) 35% reduction
3) 9% increase
4) 37% reduction
5) 25% increase
6) 38% decrease

All answers are rounded to the nearest percent as requested.