Question

Akhil's average for his first 7 tests this year is 88. What score will be needed to average on his next two tests if he wants to improve his test average to 90?

(A) 94
(B) 92
(C) 90
(D) 88

Answer 1

To improve his test average to 90, Akhil needs to score 97 on each of his next two tests.

Step-by-step explanation:

To find the score Akhil needs to average on his next two tests to improve his test average to 90, we can use the formula for average:

Average = (sum of all scores) / (total number of tests)

Since Akhil has already taken 7 tests and his average is 88, we can calculate the sum of all his scores so far: 7 * 88 = 616.

Now we can set up an equation to find the score Akhil needs to average on his next two tests:

(616 + x + y) / 9 = 90

Simplifying the equation:

616 + x + y = 810

x + y = 810 - 616

x + y = 194

To improve his average to 90, Akhil needs to score a total of 194 on his next two tests. Since the average is evenly distributed over two tests, the scores on each test should be equal:

x = y

2x = 194

x = 194 / 2

x = 97

Akhil needs to score 97 on each of his next two tests to achieve an average of 90.