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Passage: The total number of boys in Class A is equal to the total number of girls in Class B, and the number of girls in Class A is half the total number of boys in Class B. The number of boys in Class A is 15 more than the number of girls in the same class, and the sum of the total number of boys and girls in Class B is 30. Find the total number of boys in both classes.

1. 20
2. 30
3. 25
4. 40

Correct answer: 30

Solution

Let boys in A be x and girls in A be y. Since boys in A are 15 more than girls in A, x = y + 15. Also, boys in A = girls in B, and girls in A = half of boys in B. Using the total of Class B as 30, the system gives the total boys in both classes as 30.

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