Question

1. a group of preschoolers has 8 boys and 24 girls. what is the ratio of girls to all children?
2. a group of preschoolers has 15 boys and 12 girls. what is the ratio of girls to boys?

Explanation:

Problem 6

Step1: Find total children

Total children = boys + girls = \( 8 + 24 = 32 \)

Step2: Calculate ratio of girls to all children

Ratio = girls : total children = \( 24 : 32 \)
Simplify by dividing both by 8: \( \frac{24\div8}{32\div8} = \frac{3}{4} \), so ratio is \( 3:4 \)

Step1: Identify girls and boys counts

Girls = 12, Boys = 15

Step2: Calculate ratio of girls to boys

Ratio = girls : boys = \( 12 : 15 \)
Simplify by dividing both by 3: \( \frac{12\div3}{15\div3} = \frac{4}{5} \), so ratio is \( 4:5 \) (or the handwritten \( 4:5 \) is correct, original handwritten \( 9:5 \) was incorrect, correct is \( 4:5 \))

Answer:

\( 3:4 \)

Problem 9