Question

If the ratio of boys to girls in the school band is 2 to 3, which of these show possible numbers

Answer 1

Answer:

A

Step-by-step explanation:

Simply guess and check, meaning the boys category must be divisible by 2 and the girls category must be divisible by 3

A: 24 boys ÷ 2 = 12 (equals a whole number so it is divisible; not a decimal)

36 girls ÷ 3 = 12 (both of the boys and girls are divisible by their corresponding numbers)

Yes

Now make sure the boys are a lower count than the girls as the ratio says it should be 2 to 3, meaning there are more girls than boys

B: 20 ÷ 2 = 10 (divisible)

35 ÷ 3 = 11.666 (this is a decimal answer so it is not divisible)

No

C: 36 ÷ 2 = 18

24 ÷ 3 = 8

Yes, they are divisible

Now lets check if boys have a lower count than girls

36 boys > 24 girls

This is not the solution as it doesn't reflect the correct ratio of less boys than girls

D: 35 ÷ 2 = 17.5 (not divisible)

20 ÷ 3 = 6.66 (not divisible)