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For every 7 basketballs in a gym, there are 3 soccer balls. What is the total number of basketballs and soccer balls in

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For every 7 basketballs in a gym, there are 3 soccer balls. What is the total number of basketballs and soccer balls in

by M7MBA » Fri Dec 11, 2020 2:51 am

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For every 7 basketballs in a gym, there are 3 soccer balls. What is the total number of basketballs and soccer balls in the gym?

1) The difference between the number of basketballs and soccer balls in the gym is 24.
2) The number of basketballs in the gym is between 36 and 55.

Answer: A

Source: EMPOWERgmat
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Source: — Data Sufficiency |
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Re: For every 7 basketballs in a gym, there are 3 soccer balls. What is the total number of basketballs and soccer balls

by deloitte247 » Tue Dec 15, 2020 8:20 am

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The ratio of basketball to soccer ball => 7:3


Target question => What is the total number of basketballs and soccer balls in the gym?
Let number of basketballs = 7x and soccer balls = 3x


Statement 1 => The difference between the number of basketballs and soccer balls in the gym is 24
7x - 3x = 24
4x/4 = 24/4
x = 6
Basketballs = 7x = 7 * 6 = 42
Soccer balls = 3x = 3 * 6 = 18; total = 42 + 18 = 60
Statement 1 is SUFFICIENT

Statement 2 => The number of basketballs in the gym is between 36 and 55
Total basketballs is supposed to be a multiple of 7 (7x) but there are 2 different multiples of 7 between 36 and 55, so the answer is not definite and statement 2 is NOT SUFFICIENT

Since only statement 1 is SUFFICIENT,
Answer = A
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