Question

1. the ratio of girls to boys in a chess club was 5 : 4. there are 32 boys. how many girls were there in the club?

Explanation:

Step1: Define the ratio relationship

Let the number of girls be \( g \) and boys be \( b \). The ratio of girls to boys is \( 5:4 \), so \( \frac{g}{b}=\frac{5}{4} \).

Step2: Substitute the number of boys

We know \( b = 32 \). Substitute into the equation: \( \frac{g}{32}=\frac{5}{4} \).

Step3: Solve for \( g \)

Cross - multiply: \( 4g=32\times5 \). Then \( 4g = 160 \). Divide both sides by 4: \( g=\frac{160}{4}=40 \).

Answer:

There were 40 girls in the club.