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06 Apr 2016, 02:13
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (02:13) correct
19%
(02:41)
wrong
based on 207
sessions
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Not Attempted Yet
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
A. 5
B. 6
C. 10
D. 11
E. 15
06 Apr 2016, 03:53
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(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
=> (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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FightToSurvive
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Schools: ISB '18 (A) Fisher '19 (II) Smeal Penn State "19 (A$) Kelley '19 (S) Olin '19 (S) Simon '19 (A$) Broad '19 (S)
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Schools: ISB '18 (A) Fisher '19 (II) Smeal Penn State "19 (A$) Kelley '19 (S) Olin '19 (S) Simon '19 (A$) Broad '19 (S)
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06 Apr 2016, 04:19
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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.
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.
