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# Students took a test and received either A’s, B’s, C’s, D’s, or F’s. I

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Students took a test and received either A’s, B’s, C’s, D’s, or F’s. I [#permalink]

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22 Jan 2016, 10:33
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Students took a test and received either A’s, B’s, C’s, D’s, or F’s. If 30% of the class got A’s or B’s, and 50% got C’s or D’s, how many students got F’s?

(2) There was a total of 40 students in the class.
[Reveal] Spoiler: OA

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Re: Students took a test and received either A’s, B’s, C’s, D’s, or F’s. I [#permalink]

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24 Jan 2016, 07:20
30+50=80% of the students got A, B, C or D.
Therefore 100-80=20% of the students got an F.

Question: What is the number of students who got F? OR What is the total number of students?

1. Not Sufficient
30% of the students for a A or a B. But we do not know exactly how many got only B.
If 10 got only B, we cant say that these 10 were the 30% of the class because that 30% included the ones who had an A.

2. Sufficient
20% of the population of students (=40) gives us the answer.

Re: Students took a test and received either A’s, B’s, C’s, D’s, or F’s. I   [#permalink] 24 Jan 2016, 07:20
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