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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] New post 20 Aug 2012, 03:20
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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] New post 20 Aug 2012, 03:20
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.

Answer: D.
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Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink] New post 20 Aug 2012, 10:56
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] New post 24 Aug 2012, 07:04
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.

Answer: D.
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RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: In Mr. Smith's class, what is the ratio of the number of boy   [#permalink] 24 Aug 2012, 07:04
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