Let's solve each of these percentage change problems step by step. The general formula for
percentage change is:
$$
\text{Percentage Change} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100\%
$$
We use:
-
Positive result → percentage
increase
-
Negative result → percentage
decrease
We’ll round answers to the nearest percent.
---
1) Labrador Retriever Weight Loss
- Original weight: 48 kg
- New weight: 41 kg
$$
\text{Change} = 41 - 48 = -7 \, \text{kg}
$$
$$
\text{Percentage loss} = \left( \frac{-7}{48} \right) \times 100\% = -14.583...\% \approx \boxed{15\%} \text{ (loss)}
$$
✔ Answer: 15% decrease
---
2) DVD Price Reduction
- Original price: $15
- Sale price: $9.75
$$
\text{Change} = 9.75 - 15 = -5.25
$$
$$
\text{Percentage reduction} = \left( \frac{-5.25}{15} \right) \times 100\% = -35\% \Rightarrow \boxed{35\%} \text{ reduction}
$$
✔ Answer: 35% reduction
---
3) Sally’s Long-Jump Increase
- First jump: 5.7 m
- Second jump: 6.2 m
$$
\text{Change} = 6.2 - 5.7 = 0.5 \, \text{m}
$$
$$
\text{Percentage increase} = \left( \frac{0.5}{5.7} \right) \times 100\% \approx 8.7719\% \approx \boxed{9\%}
$$
✔ Answer: 9% increase
---
4) Tyger’s Sugar Intake Reduction
- Original: 15 spoons/day
- New: 9½ spoons/day = 9.5 spoons/day
$$
\text{Change} = 9.5 - 15 = -5.5
$$
$$
\text{Percentage reduction} = \left( \frac{-5.5}{15} \right) \times 100\% = -36.666...\% \approx \boxed{37\%}
$$
✔ Answer: 37% reduction
---
5) Frazer’s Cycling Distance Increase
- Week 1: 195 miles
- Week 2: 243 miles
$$
\text{Change} = 243 - 195 = 48
$$
$$
\text{Percentage increase} = \left( \frac{48}{195} \right) \times 100\% \approx 24.615\% \approx \boxed{25\%}
$$
✔ Answer: 25% increase
---
6) Frazer’s Speed Decrease
- First part speed: 21 mph
- Second part speed: 13 mph
$$
\text{Change} = 13 - 21 = -8
$$
$$
\text{Percentage decrease} = \left( \frac{-8}{21} \right) \times 100\% \approx -38.095\% \approx \boxed{38\%}
$$
✔ Answer: 38% decrease
---
✔ Final Answers:
1)
15%
2)
35%
3)
9%
4)
37%
5)
25%
6)
38%
All rounded to the nearest percent as requested.
Let me know if you'd like a printable version or explanations in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of percent increase and decrease word problems worksheet with answers.
