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 \( \frac{g}{b}=\frac{5}{4} \). We know \( b = 32 \).

Step2: Solve for the number of girls

Substitute \( b = 32 \) into the ratio equation: \( \frac{g}{32}=\frac{5}{4} \). Cross - multiply to get \( 4g=5\times32 \). Then \( 4g = 160 \). Divide both sides by 4: \( g=\frac{160}{4}=40 \).

Answer:

There were 40 girls in the club.