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At a Certain school, the ratio of the number of second graders to the

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Re: At a Certain school, the ratio of the number of second graders to the [#permalink]

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New post 14 Dec 2017, 05:15
nickesha wrote:
At a Certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. if the ratio of the number of third graders to the number of fourth graders is 3 to 2 what is the ratio of the number of first graders to thenumber of third graders.

(A) 16 to 15
(B) 9 to 5
(C) 5 to 16
(D) 5 to 4
(E) 4 to 5



Let # of first, second, third and fourth graders be A, B, C and D respectively. Question: \(\frac{A}{C}\);

Given: \(\frac{B}{D}=\frac{8}{5}\), \(\frac{A}{B}=\frac{3}{4}\), and \(\frac{C}{D}=\frac{3}{2}\);

Equate D's: \(\frac{B}{D}=\frac{8}{5}=\frac{16}{10}\) --> \(\frac{C}{D}=\frac{3}{2}=\frac{15}{10}\). Now, equate B's: \(\frac{A}{B}=\frac{3}{4}=\frac{12}{16}\);

\(\frac{A}{C}=\frac{12}{15}=\frac{4}{5}\).

Answer: E.

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Re: At a Certain school, the ratio of the number of second graders to the   [#permalink] 14 Dec 2017, 05:15
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