If 90 students auditioned for the school musical, how many were...

[BTGmoderatorLU]

Source: Official Guide

If 90 students auditioned for the school musical, how many were accepted?

1) 2/3 of the boys and 1/3 of the girls who auditioned were accepted.
2) 26 of the boys who auditioned were accepted.

The OA is C

[Jay@ManhattanReview]

Source: Official Guide

If 90 students auditioned for the school musical, how many were accepted?

1) 2/3 of the boys and 1/3 of the girls who auditioned were accepted.
2) 26 of the boys who auditioned were accepted.

The OA is C

Let's take each statement one by one.

1) 2/3 of the boys and 1/3 of the girls who auditioned were accepted.

No information abt the no. of boys and that of girls. Insufficient.

2) 26 of the boys who auditioned were accepted.

No information abt the no. of girls who auditioned were accepted. Insufficient.

(1) and (2) together

From the information, we get 2/3 of the boys = 26 => No. of boys who auditioned = 39

=> No. of girls who auditioned = 90 – 39 = 51

=> No. of girls who auditioned were accepted = 51*1/3 = 17

Total no. of students who were accepted = 26 + 17 = 43

Correct answer: C

Hope this helps!

-Jay
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