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In a school of 150 students, 75 study Latin, 110 study Spani

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

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In a school of 150 students, 75 study Latin, 110 study Spani [#permalink] New post 05 Aug 2018, 14:41
Expert's post
00:00

Question Stats:

50% (00:50) correct 50% (00:24) wrong based on 18 sessions
In a school of 150 students, 75 study Latin, 110 study Spanish, and 11 study neither.

Quantity A
Quantity B
The number of students who study only Latin
46


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink] New post 07 Aug 2018, 16:48
Expert's post
Explanation

Use the overlapping sets formula for two groups: Total = Group 1 + Group 2 – Both + Neither. (Adding the two groups—in this case Latin and Spanish—double-counts the students who
study both languages, so the formula subtracts the “both” students.)

Set up your equation:

150 = 75 + 110 – B + 11

150 = 196 – B

46 = B

Careful! This is not the value of Quantity A. Since 46 students study both Latin and Spanish, subtract 46 from the total who study Latin to find those who study only Latin:

75 – 46 = 29

Thus, Quantity A is 29. Therefore Quantity B is greater.
_________________

Sandy
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Re: In a school of 150 students, 75 study Latin, 110 study Spani   [#permalink] 07 Aug 2018, 16:48
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In a school of 150 students, 75 study Latin, 110 study Spani

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