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Wendy, Jim, and Pedro are golfing. Collectively, they have

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Source: — Data Sufficiency |
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by deloitte247 » Sun Dec 22, 2019 4:20 am
How many golf balls does Jim have?
Let Wendy's golf balls = w
Jim's golf balls = j
Pedro's golf balls = p
Total golf balls = w + j + p
24 golf balls = w + j + p
Find j...
j = 24 - w -p

Statement 1: Jim has 1/3 of the number of golf balls that Wendy has.
i.e J=1/3 of w but the value of 'w' is unknown, hence, statement 1 is NOT SUFFICIENT.

Statement 2: Pedro has 1/2 of the total number of golf balls.
p = 1/2 of 24 = 1/2 * 24 = 12
j = 24 - w - 12.
The value of w is unknown, hence, statement 2 is NOT SUFFICIENT.

Combining both statements together:
j = (1/3) w
p = 12
Therefore, total = j + w + p
24 = (1/3) w + w + 12
12 = (4/3) w
36 = 4w
w = 9
So, w = 9, and p =12.
J = 24 - w - p
J = 24 - 9 - 12
J = 24 - 21
J = 3 golf balls.
Hence, both statements combined together are SUFFICIENT.
Correct answer = option C
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