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# In a small school, there are 36 students in the senior class. Of those

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Math Expert
Joined: 02 Sep 2009
Posts: 58381
In a small school, there are 36 students in the senior class. Of those  [#permalink]

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06 Apr 2016, 02:13
1
4
00:00

Difficulty:

15% (low)

Question Stats:

84% (02:14) correct 16% (02:37) wrong based on 150 sessions

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In a small school, there are 36 students in the senior class. Of those students, 21 have a car, x play a sport, 3x/5 have a car and play a sport, and 6 have a car and do not play a sport. How many students play a sport and do not have a car?

A. 5
B. 6
C. 10
D. 11
E. 15

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Re: In a small school, there are 36 students in the senior class. Of those  [#permalink]

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06 Apr 2016, 03:53
1
(3/5)x + 6 = 21
=> (3/5)x = 15
=> x = 25

Number of students who play a sport and do not have car = 25 - 15 = 10

Answer C
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Re: In a small school, there are 36 students in the senior class. Of those  [#permalink]

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06 Apr 2016, 04:19
I did this in the following way:

Intersection part (both have a car and play a sport) =3x/5
Only have a Car = 21 - (3x/5)
Only play a sport = x - (3x/5) =2x/5

According to information given, students who own a car but do not play a sport = 6
Therefore => 21 - (3x/5) = 6
So. x = 25

So, students who play a sport but do not have a car = 2x/5 = 10. Hence C is the answer.
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Re: In a small school, there are 36 students in the senior class. Of those  [#permalink]

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06 Apr 2016, 06:11
21 students have car
6 have only car
therefore 21-6 = 15 have both car and sports
3x/5 = 15
x= 25 (only sports + both )
25-15 = 10 (only spots)
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Re: In a small school, there are 36 students in the senior class. Of those  [#permalink]

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29 Oct 2018, 03:42
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Re: In a small school, there are 36 students in the senior class. Of those   [#permalink] 29 Oct 2018, 03:42
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# In a small school, there are 36 students in the senior class. Of those

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