# SOLUTION: The average (arithmetic mean) 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 cla

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 Question 465204: The average (arithmetic mean) 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 answer is 3/8 or .375, but I do not understand how they got this answer. Can you help?Answer by richard1234(5390)   (Show Source): You can put this solution on YOUR website!We know that the sum of the scores from the p students is 70p, and the sum of the scores from the n students is 92n. Combining them, We can split up the fraction two ways: Hence, we are given If we divide the first equation by the second, the 22's and the p+n's will cancel, and we will get .