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In a class of p students, the average (arithmetic mean) of the test scores is 70.

In another class of n students, the average of the scores for the same test is 92.

When the scores of the two classes are combined, the average of the test scores is 86.

Find the value p/n.

 Sep 25, 2020
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70p + 92n = 86(n + p)

70p + 92n = 86n + 86p

16p = 6n

p/n = 6/16 = 3/8

 Sep 25, 2020

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