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# In Mr. Smith's class, what is the ratio of the number of boy

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In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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20 Aug 2012, 03:20
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In Mr. Smith's class, what is the ratio of the number of boys to the number of girls?

(1) There are 3 times as many girls as boys in Mr. Smith's class.
(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.

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Math Expert
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Kudos [?]: 68416 [1] , given: 9805

Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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20 Aug 2012, 03:20
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SOLUTION

In Mr. Smith's class, what is the ratio of the number of boys to the number of girls?

We find the value of $$\frac{B}{G}$$.

(1) There are 3 times as many girls as boys in Mr. Smith's class --> $$G=3B$$ --> $$\frac{B}{G}=\frac{1}{3}$$. Sufficient.
(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class --> $$B=\frac{1}{4}(B+G)$$ --> $$\frac{B}{G}=\frac{1}{3}$$. Sufficient.

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Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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20 Aug 2012, 10:56
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The Answer is (D), each statement alone is sufficient.

We are searching for $$\frac{Boys}{Girls}= ?$$

Statement 1: "(1) There are 3 times as many girls as boys in Mr. Smith's class."

So we have $$3B = G$$. $$\frac{B}{3B}=\frac{1}{3}$$. Sufficient.

Statement 2: "(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class."

So we have $$1/4(G+B) = B => 1/4G + 1/4B = B => 1/4G = 3/4B => G = 3B.$$

$$\frac{B}{3B}=1/3$$. Sufficient.
Math Expert
Joined: 02 Sep 2009
Posts: 32557
Followers: 5641

Kudos [?]: 68416 [0], given: 9805

Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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24 Aug 2012, 07:04
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SOLUTION

In Mr. Smith's class, what is the ratio of the number of boys to the number of girls?

We find the value of $$\frac{B}{G}$$.

(1) There are 3 times as many girls as boys in Mr. Smith's class --> $$G=3B$$ --> $$\frac{B}{G}=\frac{1}{3}$$. Sufficient.
(2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class --> $$B=\frac{1}{4}(B+G)$$ --> $$\frac{B}{G}=\frac{1}{3}$$. Sufficient.

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Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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08 Oct 2014, 09:42
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Re: In Mr. Smith's class, what is the ratio of the number of boy   [#permalink] 08 Oct 2014, 09:42
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