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# M02-10

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Math Expert
Joined: 02 Sep 2009
Posts: 50001

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16 Sep 2014, 00:17
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Difficulty:

15% (low)

Question Stats:

81% (01:27) correct 19% (01:24) wrong based on 173 sessions

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In Town X, $$\frac{2}{3}$$ of the males and $$\frac{3}{5}$$ of the females speak Spanish. If the ratio of females to males in the town is 2:3, what percentage of the total population in Town X speaks Spanish?

A. 36%
B. 40%
C. 48%
D. 64%
E. 73%

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Math Expert
Joined: 02 Sep 2009
Posts: 50001

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16 Sep 2014, 00:17
3
Official Solution:

In Town X, $$\frac{2}{3}$$ of the males and $$\frac{3}{5}$$ of the females speak Spanish. If the ratio of females to males in the town is 2:3, what percentage of the total population in Town X speaks Spanish?

A. 36%
B. 40%
C. 48%
D. 64%
E. 73%

Assume that the total population of Town X is 100.

The ratio of females to males in the town is 2:3. Since we picked 100 for the population, the number of females is 40 and the number of males is 60.

Out of 40 females, $$\frac{3}{5}$$ speak Spanish. That is, $$\frac{3}{5}*40 = 24$$ females speak Spanish.

Out of 60 males, $$\frac{2}{3}$$ speak Spanish. That is, $$\frac{2}{3}*60 = 40$$ males speak Spanish.

So, a total of $$24 + 40 = 64$$ people out of 100 speak Spanish. Thus, the answer is 64%.

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Joined: 09 Aug 2014
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19 Mar 2015, 02:34
I think this question is good and helpful.
Manager
Joined: 24 Nov 2013
Posts: 59

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11 Aug 2015, 21:34
2
Another way to solve this is to recognize that 66.6% of males and 60% of Females speak Spanish. The % of total population speaking Spanish has to be between these 2 values. We can eliminate all options which do not fall in the range 60% to 66.6%.
@Bunuel...pls let me know whether this approach is correct.
Senior Manager
Joined: 06 Jan 2015
Posts: 488
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)

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26 Dec 2015, 07:06
Bunuel

Can we apply weighted average technique here?

The 2/3 of the males and 3/5 of the females speak Spanish.Then total population in Town X speaks Spanish
will be between 66.6% to 60%
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Resource: GMATPrep RCs With Solution

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Joined: 28 Dec 2016
Posts: 88
Location: United States (IL)
Concentration: Marketing, General Management
Schools: Johnson '20 (M)
GMAT 1: 700 Q47 V38

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02 Apr 2018, 10:12
I solved it using fractions.

(%M speaking Spanish)(%M) + (%F speaking Spanish)(%F) = Total % Speaking Spanish
(3/5)(2/3)+(2/5)(3/5) = 16/25 = 64/100
Re: M02-10 &nbs [#permalink] 02 Apr 2018, 10:12
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# M02-10

Moderators: chetan2u, Bunuel

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