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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, 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] New post 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.

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, 09:56
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, 06:04
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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.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


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