Question

Akiko uses 2feet of thread for every three squares that she sews for her quilt. How many squares can she sew if she has 38feet of thread?

F19

G 57

H 76

J 228

Short answer

She sews 57 squares if she has 38 feet thread.

Step-by-step solution

Step 1. Given information.

Akiko uses 2 feet of thread for every three squares that she sews for her quilt.

She has 38 feet of thread.

Step 2. To find the equation from the given condition.

Suppose she sews$x$ squares if she has 38 feet thread.

Akiko uses 2 feet of thread for every three squares.

Now, the equation

$\begin{array}{l}\frac{3}{2}=\frac{x}{38}\\ \Rightarrow 2x=3\times 38\\ \Rightarrow x=\frac{3\times 38}{2}\\ \Rightarrow x=3\times 19\\ \Rightarrow x=57\end{array}$

Step 3. To find the value of x.

$\begin{array}{l}\frac{3}{2}=\frac{x}{38}\\ \Rightarrow 2x=3\times 38\\ \Rightarrow x=\frac{3\times 38}{2}\\ \Rightarrow x=3\times 19\\ \Rightarrow x=57\end{array}$

Therefore, the value of$x$ is $57$.

Hence, she sews 57 squares if she has 38 feet thread.