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# Eighty students are attending summer school courses at Beaver Falls Hi

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Math Expert
Joined: 02 Sep 2009
Posts: 60627
Eighty students are attending summer school courses at Beaver Falls Hi  [#permalink]

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01 Nov 2019, 08:04
00:00

Difficulty:

65% (hard)

Question Stats:

64% (02:39) correct 36% (02:12) wrong based on 58 sessions

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Eighty students are attending summer school courses at Beaver Falls High School.X have registered for Spanish,Y have registered for Math, and Z have registered for neither Spanish nor Math.How many have registered for BOTH Spanish and Math?

(1) Thirty students are not taking Spanish.

(2) Y=40% of X,while Z=75% of Y

Are You Up For the Challenge: 700 Level Questions

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Joined: 20 Jul 2017
Posts: 1256
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Eighty students are attending summer school courses at Beaver Falls Hi  [#permalink]

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01 Nov 2019, 08:36
1
Bunuel wrote:
Eighty students are attending summer school courses at Beaver Falls High School.X have registered for Spanish,Y have registered for Math, and Z have registered for neither Spanish nor Math.How many have registered for BOTH Spanish and Math?

(1) Thirty students are not taking Spanish.

(2) Y=40% of X,while Z=75% of Y

Are You Up For the Challenge: 700 Level Questions

Let the number of students who registered for both = A

Refer to table structure,

(1) Thirty students are not taking Spanish.

--> Insufficient

(2) Y=40% of X,while Z=75% of Y

--> Insufficient

Combining (1) & (2),

--> A + 15 = 20
--> A = 5 --> Sufficient

IMO Option C
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Joined: 18 Aug 2017
Posts: 5723
Location: India
Concentration: Sustainability, Marketing
GPA: 4
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Re: Eighty students are attending summer school courses at Beaver Falls Hi  [#permalink]

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02 Nov 2019, 04:57
Bunuel wrote:
Eighty students are attending summer school courses at Beaver Falls High School.X have registered for Spanish,Y have registered for Math, and Z have registered for neither Spanish nor Math.How many have registered for BOTH Spanish and Math?

(1) Thirty students are not taking Spanish.

(2) Y=40% of X,while Z=75% of Y

Are You Up For the Challenge: 700 Level Questions

solve using 2x2
the question would be solved using both stmnts

---s---ns----total
M--5---15----20
NM- 45--15---60
total--50--30--80
IMO C ; 5
Re: Eighty students are attending summer school courses at Beaver Falls Hi   [#permalink] 02 Nov 2019, 04:57
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