Question

Kerrie uses the work shown below to determine 35% of 280.

Step 1: 35 percent = 10 percent + 25 percent
Step 2: 10% of 280 = 280 divided by 10 = 28
Step 3: 25% of 280 = 280 divided by 4 = 70
Step 4: 28 + 70 = 98

She states that 35% of 280 is 98. Which is a true statement about Kerrie’s solution?
Kerrie’s solution is correct.
Kerrie incorrectly determined 10% in Step 2.
Kerrie incorrectly determined 25% in Step 3.
Kerrie incorrectly combined the solutions from Step 2 and Step 3 in Step 4.

Answer 1

Let's evaluate Kerrie's steps to determine whether her solution is correct.

1. **Step 1**: Kerrie breaks down 35% into 10% and 25%, which is valid because 10% + 25% = 35%.

2. **Step 2**: Kerrie calculates 10% of 280.
- 10% of 280 = 280 divided by 10 = 28. This step is correct.

3. **Step 3**: Kerrie calculates 25% of 280.
- 25% of 280 can be calculated by dividing 280 by 4 (since 25% is equivalent to 1/4).
- 280 divided by 4 = 70. This step is also correct.

4. **Step 4**: Kerrie adds the results from Step 2 and Step 3.
- 28 (from Step 2) + 70 (from Step 3) = 98. This addition is correct.

Based on this analysis, Kerrie's calculations for both percentages are accurate and her final result of 35% of 280 being 98 is indeed correct.

Thus, the true statement about Kerrie’s solution is:
**Kerrie’s solution is correct.**