Question

The average of the test scores of a group of x students is 76 and the average of the test scores of a group of y students is 90. When the scores of the two groups of the students are combined, the average test score is 85. What is the value of x/y?

Answer 1

@kropot72

Answer 2

5/9

Answer 3

76x+90y / (x+y) = 85

so u have 5y=9x
or x/y=5/9

Answer 4

The total scores of the x students is 76x and the total scores of the y students is 90y.
The combined total scores is 85(x + y). This leads to the following equation:

85x + 85y = 76x + 90y
9x = 5y

Answer 5

Now divide both sides by 9. Then divide both sides of the result by y.

Answer 6

@kropot72 Thank you :)

Answer 7

You're welcome :)