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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)