Question

The 12 girls at Suzie’s volleyball camp have decided to wear their camp ID’s on loops of string around their necks. If each girl needs 1
2
yard of string, how much string do they need in all? Suzie did this work to solve the problem:

12
1
÷ 1
2
= 12
1
× 2
1

= 24
1

=  24 yards of string

Did Suzie solve the problem correctly?
No. She should have multiplied 12 and One-half to solve.
No. She did not multiply the numerators correctly.
No. She did not simplify StartFraction 24 Over 1 EndFraction correctly.
Yes. Her work is correct.

Answer 1

To determine if Suzie solved the problem correctly, let's analyze her calculations step by step.

1. The problem states that each of the 12 girls needs \( \frac{1}{2} \) yard of string.
2. To find the total amount of string needed for 12 girls, we multiply the number of girls by the amount of string each needs:
\[
12 \times \frac{1}{2}
\]

3. Performing the multiplication:
\[
12 \times \frac{1}{2} = \frac{12 \times 1}{2} = \frac{12}{2} = 6 \text{ yards}
\]

Now, looking at Suzie's work:
- She incorrectly used division instead of multiplication (as indicated by her writing \( 12 \div \frac{1}{2} \)).
- She then followed the division incorrectly by writing it as multiplication of fractions which is not relevant to the problem.

So her final calculation of \( 24 \) yards is incorrect.

Therefore, the correct answer is:
**No. She should have multiplied 12 and \( \frac{1}{2} \) to solve.**