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The 12 girls at Suzie's volleyball camp have decided to wear their camp IDs on loops of string around their necks. If each girl needs [tex]\frac{1}{2}[/tex] yard of string, how much string do they need in all?

Suzie did this work to solve the problem:

[tex]
\begin{aligned}
\frac{12}{1} \div \frac{1}{2} & = \frac{12}{1} \times \frac{2}{1} \\
& = \frac{24}{1} \\
& = 24 \text{ yards of string}
\end{aligned}
[/tex]

Did Suzie solve the problem correctly?

A. No. She should have multiplied 12 and [tex]\frac{1}{2}[/tex] to solve.
B. No. She did not multiply the numerators correctly.
C. No. She did not simplify [tex]\frac{24}{1}[/tex] correctly.
D. Yes. Her work is correct.



Answer :

GinnyAnswer
No. She should have multiplied 12 and [tex]\(\frac{1}{2}\)[/tex] to solve.

Let's go through the problem step-by-step to see where Suzie made a mistake and find the correct answer:

1. Identify the Number of Girls and String Needed per Girl:
- There are 12 girls.
- Each girl needs [tex]\(\frac{1}{2}\)[/tex] yard of string.

2. Calculate the Total Amount of String Needed:
To find out how much string is needed in all, you should multiply the number of girls by the amount of string each girl needs.

3. Perform the Multiplication:
[tex]\[ 12 \times \frac{1}{2} \][/tex]

4. Simplify the Calculation:
[tex]\[ 12 \times \frac{1}{2} = \frac{12}{1} \times \frac{1}{2} = \frac{12 \times 1}{1 \times 2} = \frac{12}{2} = 6 \][/tex]

So, the correct amount of string needed is [tex]\( 6 \)[/tex] yards.

Suzie mistakenly used division instead of multiplication to solve the problem, which led her to an incorrect solution of 24 yards.

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