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Lisa gave four English tests last week. The score of her fourth test was 8 more than the average score of her first thre

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by Gmat_mission » Sun Dec 27, 2020 3:43 pm

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Lisa gave four English tests last week. The score of her fourth test was 8 more than the average score of her first three tests. How much greater is her fourth test score than the average score of four tests?

A. 2
B. 4
C. 6
D. 8
E. 10

Answer: C

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Re: Lisa gave four English tests last week. The score of her fourth test was 8 more than the average score of her first

by Scott@TargetTestPrep » Mon Mar 22, 2021 8:29 am
Gmat_mission wrote: ↑
Sun Dec 27, 2020 3:43 pm
 Lisa gave four English tests last week. The score of her fourth test was 8 more than the average score of her first three tests. How much greater is her fourth test score than the average score of four tests?

A. 2
B. 4
C. 6
D. 8
E. 10

Answer: C

Solution:

We can let x = the average of the first 3 tests. Thus, her fourth test, in terms of x, is x + 8, and the average of all 4 tests is:

(3x + x + 8) / 4 = (4x + 8) / 4 = x + 2

Therefore, her fourth test is (x + 8) - (x + 2) = 6 points higher than the average of all 4 tests.

Answer: C

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