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# Thirty boys and X girls sat for a test. The mean of the boys' scores and that of ...

### Question

Thirty boys and X girls sat for a test. The mean of the boys' scores and that of the girls were respectively 6 and 8. Find 8 if the total score was 468.

A) 38

B) 24

C) 36

D) 22

E) 41

### Explanation:

Le the number of girls = A; Total score of boys = 30 $$\times$$ 6 = 180
Total score of girls = A $$\times$$ 8 = 8A
$$\therefore$$ 180 + 8A = 468
8A = 288
A = 36

## Dicussion (1)

• Le the number of girls = A; Total score of boys = 30 $$\times$$ 6 = 180
Total score of girls = A $$\times$$ 8 = 8A
$$\therefore$$ 180 + 8A = 468
8A = 288
A = 36