Q17. - Algebra 1

Question

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

F 19

G 57

H 76

J 228

Step-by-Step Solution

Answer

She sews 57 squares if she has 38 feet thread.

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.