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Jill has received 8 of her 12 evaluation scores. So far, Ji

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Jill has received 8 of her 12 evaluation scores. So far, Ji [#permalink] New post 23 May 2017, 02:50
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Jill has received 8 of her 12 evaluation scores. So far, Jill’s average (arithmetic mean) is 3.75 out of a possible 5. If Jill needs an average of 4.0 points to get a promotion, which list of scores will allow Jill to receive her promotion?

Indicate all such sets.

❑ 3.0, 3.5, 4.75, 4.75

❑ 3.5, 4.75, 4.75, 5.0

❑ 3.25, 4.5, 4.75, 5.0

❑ 3.75, 4.5, 4.75, 5.0

[Reveal] Spoiler: OA
B and D
[Reveal] Spoiler: OA

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Re: Jill has received 8 of her 12 evaluation scores. So far, Ji [#permalink] New post 10 Oct 2017, 08:33
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The mean of 8 grades being 3.75 permits us to compute the sum of those 8 grades as 8*3.75 = 30. Then, we can write an equation which gives us the sum of the last four grades, as \(\frac{30+x}{12} = 4\) from which we know x = 18, the sum of the last four grades.

Now we just have to check which choices sum to 18. B and D sum to 18, thus they are the answers!
Re: Jill has received 8 of her 12 evaluation scores. So far, Ji   [#permalink] 10 Oct 2017, 08:33
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Jill has received 8 of her 12 evaluation scores. So far, Ji

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