Of course! I'll solve each of the percent change problems for you and explain the solution step by step.
The formula for
Percent Change is:
>
Percent Change = (Amount of Change / Original Amount) × 100%
Where:
-
Amount of Change = New Amount – Original Amount
- If the result is positive, it’s a
percent increase.
- If the result is negative, it’s a
percent decrease.
---
Problem 1: Find the percent of change from 4,500 oz to 5,075 oz
- Original amount = 4,500 oz
- New amount = 5,075 oz
- Amount of change = 5,075 – 4,500 =
575 oz
- Percent change = (575 / 4,500) × 100% ≈
12.78%
✔ Answer: 12.78% increase
---
Problem 2: Find the percent of change from 70 cups to 42 cups
- Original amount = 70 cups
- New amount = 42 cups
- Amount of change = 42 – 70 =
–28 cups
- Percent change = (–28 / 70) × 100% =
–40%
✔ Answer: 40% decrease
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Problem 3: Find the percent of change from 260 lbs to 156 lbs
- Original amount = 260 lbs
- New amount = 156 lbs
- Amount of change = 156 – 260 =
–104 lbs
- Percent change = (–104 / 260) × 100% =
–40%
✔ Answer: 40% decrease
---
Problem 4: Find the percent of change from 1,750 rpm to 2,250 rpm
- Original amount = 1,750 rpm
- New amount = 2,250 rpm
- Amount of change = 2,250 – 1,750 =
500 rpm
- Percent change = (500 / 1,750) × 100% ≈
28.57%
✔ Answer: 28.57% increase
---
Problem 5: Find the percent of change from 160 cm to 204 cm
- Original amount = 160 cm
- New amount = 204 cm
- Amount of change = 204 – 160 =
44 cm
- Percent change = (44 / 160) × 100% =
27.5%
✔ Answer: 27.5% increase
---
Problem 6: Find the percent of change from 800 ft to 412 ft
- Original amount = 800 ft
- New amount = 412 ft
- Amount of change = 412 – 800 =
–388 ft
- Percent change = (–388 / 800) × 100% =
–48.5%
✔ Answer: 48.5% decrease
---
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✔ Final Answers:
1.
12.78% increase
2.
40% decrease
3.
40% decrease
4.
28.57% increase
5.
27.5% increase
6.
48.5% decrease
Let me know if you’d like to see these rounded to a specific decimal place or explained with diagrams!
Parent Tip: Review the logic above to help your child master the concept of percent of change worksheet 7th grade.