# math

posted by
**Anonymous**
.

The average of the test scores of a class of p students is 70, and the average of the test scores of a class of n students is 92. When the scores of both classes are combined, the average score is 86. What is the value of p/n?

the total for the first class is 70p and the total for the second class is 92n

so the combined total is 70p+92n

but we are also told that the average score for both classes is 86

i.e. 86(p+n)

so 70p+92n = 86(p+n)

70p+92n=86p+86n

-16p=-6n

16p=6n

then p/n=6/16

p/n = 3/8