Last visit was: 12 Sep 2024, 01:42 It is currently 12 Sep 2024, 01:42
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

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

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 95475
Own Kudos [?]: 657820 [30]
Given Kudos: 87247
Manhattan Prep Instructor
Joined: 22 Mar 2011
Posts: 2731
Own Kudos [?]: 7916 [22]
Given Kudos: 56
GMAT 2: 780  Q50  V50
Math Expert
Joined: 02 Sep 2009
Posts: 95475
Own Kudos [?]: 657820 [6]
Given Kudos: 87247
General Discussion
Intern
Joined: 19 Apr 2012
Posts: 15
Own Kudos [?]: 11 [2]
Given Kudos: 8
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
2
Bookmarks
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: 95475
Own Kudos [?]: 657820 [0]
Given Kudos: 87247
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
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.

Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19444
Own Kudos [?]: 23196 [4]
Given Kudos: 286
Location: United States (CA)
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
4
Kudos
Bunuel
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.

Manager
Joined: 21 Jul 2014
Posts: 52
Own Kudos [?]: 43 [0]
Given Kudos: 95
GMAT Date: 07-30-2015
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
ScottTargetTestPrep
Bunuel
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.

Sir, Please help me with the translation There are 3 times as many girls as boys. I always get it wrong.
Manager
Joined: 21 Jul 2014
Posts: 52
Own Kudos [?]: 43 [0]
Given Kudos: 95
GMAT Date: 07-30-2015
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
[quote="DmitryFarber"]

Thank you DmitryFarber.
Intern
Joined: 11 Jan 2016
Posts: 4
Own Kudos [?]: [0]
Given Kudos: 17
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
Bunuel
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.

Are you sure that this is a 600 Problem? It looks very easy
Math Expert
Joined: 02 Sep 2009
Posts: 95475
Own Kudos [?]: 657820 [0]
Given Kudos: 87247
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
ion
Bunuel
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.

Are you sure that this is a 600 Problem? It looks very easy

The difficulty level is calculated automatically based on the timer stats from the users which attempted the question. So, yes it is a 600-level question.
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6803
Own Kudos [?]: 31276 [2]
Given Kudos: 799
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
2
Kudos
Top Contributor
Bunuel
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.

Target question: What is the ratio of the number of boys to the number of girls?

Statement 1: There are 3 times as many girls as boys in Mr. Smith's class.
This means there are 3 girls for every 1 boy
So, the ratio of the number of boys to the number of girls = 3 : 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.
So, for every 4 children there are 3 girls and 1 boy
So, the ratio of the number of boys to the number of girls = 3 : 1
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

RELATED VIDEO
Intern
Joined: 10 Jan 2017
Status:Don't watch the clock,Do what it does, Keep Going.
Posts: 18
Own Kudos [?]: 10 [0]
Given Kudos: 67
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
1.B=3G sufficient
2. B=1/4(B+G) so, B-1/4B=1/4G thus G=3B sufficient
D
Non-Human User
Joined: 09 Sep 2013
Posts: 34816
Own Kudos [?]: 877 [0]
Given Kudos: 0
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: In Mr. Smith's class, what is the ratio of the number of boy [#permalink]
Moderator:
Math Expert
95463 posts