Question

Akhil's first 7 test scores this year have an average of 88. To improve his test average to 90, what score will be needed on his next two tests?

a) 91
b) 92
c) 93
d) 94

Answer 1

Akhil cannot improve his test average to 90 with the given information.

Step-by-step explanation:

To find the score needed 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 scores)

Given that the average of Akhil's first 7 test scores is 88, we can find the sum of those scores: 7 * 88 = 616

Now, let's assume the score needed on his next two tests is X. So, the sum of all 9 test scores would be: 616 + X + X = 1232 + 2X

We want the average to be 90, so we can set up the equation:

90 = (1232 + 2X) / 9

Multiplying both sides by 9 gives us: 810 = 1232 + 2X

Subtracting 1232 from both sides gives us: 2X = -422

Dividing both sides by 2 gives us: X = -211

Since a test score cannot be negative, we can conclude that it is not possible for Akhil to improve his test average to 90 with the given information. Therefore, there is no option in the list (a, b, c, d) that represents the score needed on his next two tests.