In Mr. Smith's class, what is the ratio of the number of boy : GMAT Data Sufficiency (DS)
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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, 02:20
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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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Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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20 Aug 2012, 02:20
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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, 09:56
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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.
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Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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24 Aug 2012, 06:04
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, 08:42
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Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]

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30 Jul 2016, 07:53
Bunuel wrote:
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.

We need to determine the ratio of the number of boys to the number of girls. If we denote the number of boys as b and the number of girls as d, we can say:

b/g = ?

Statement One Alone:

There are 3 times as many girls as boys in Mr. Smith's class.

Using statement two we can say:

g = 3b

g/b = 3

b/g = 1/3

Statement one is sufficient to answer the question. We can eliminate answer choices B, C, and E.

Statement Two Alone:

The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.

Using statement two we can say:

b = ¼(b + g)

4b = b + g

3b = g

b/g = 1/3

Statement two is sufficient to answer the question.

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Re: In Mr. Smith's class, what is the ratio of the number of boy   [#permalink] 30 Jul 2016, 07:53
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