SOLUTION: the average of the test scores of a class of x students is 74 and the average of the test scores of a class of y students is 88. When the scores of both classes are combined the av

Question 402971: the average of the test scores of a class of x students is 74 and the average of the test scores of a class of y students is 88. When the scores of both classes are combined the average is 76. What is the value of x/y?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The sum of the x students test scores is since dividing this by 'x' students gives you an average of 74. Likewise, the sum of the y students test scores is

So because the "combined the average is 76", we know that (ie add the sums of both groups and divide that new bigger sum by the total number of students x+y)

I'll let you take it from here. Since there is an explicit relationship between x and y (shown in the equation above), you can solve for either variable and substitute it into and reduce it into some constant number. Note: either variable you solve for will give you the same answer.

Let me know if you still need help.
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