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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
2
Answer: B
First Approach:
Total number of people: 150
Neither Spanish, nor Latin: 11
Spanish or Latin or both: 150-11 = 139 ->
Specifically Spanish + Specifically Latin Both Latin and Spanish = 139
Latin : 75
Spanish: 110
139 - 110 =19 Those who don’t speak Spanish and speak just Latin. (Specifically Latin)
139-75 =54 Those who don’t speak Latin and study just Spanish (Specifically Spanish)

Specifically Spanish + Specifically Latin + Both Latin and Spanish = 139
19 + 54 + both = 139 -> both = 46
A: The number of students who study only Latin: 19
B: 46
B is bigger

Second Approach:
If we think of a venn diagram we will see: the total numbers in the union would be 150-11=139
There is an intersection and a specific Latin and a specific Spanish:

Spanish + Latin - intersection = 110 + 75 - intersection = 139 -> intersection = 46
A: Just Latin = 75 - 46 = 19 which is less than B. And the asnwer is B.
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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
sandy wrote:
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.



I hope to hear from GreenLightTestPrep for a Good Approach.
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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
Expert Reply
The approaches above are perfectly fine.

Difficult to find the shortest way to the solution

Regards
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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
Wow, this is a good task for a skilled math person. Sadly I need essay help at https://www.aresearchguide.com/essay-help.html to complete this kind of task. Hope that soon I become a real professional.
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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
Great
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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
I just needed it. Thanks for sharing.
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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
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Re: In a school of 150 students, 75 study Latin, 110 study Spani [#permalink]
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