If you have an average score of x in five tests and you want to increase your average to y after taking one more test. What score do you need on that test?

If you have an average score of x in five tests and you want to increase your average to y after taking one more test. What score do you need on that test?

Explanation

Initial average score: x

Number of tests: 5

Total score so far: 5x

New average score desired: y

Total number of tests after one more: 6

Let's denote the score needed on the next test as 's'. The total score after 6 tests should be:

6y = 5x + s

Now, solve for 's':

s = 6y - 5x