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At a restaurant, all tips are added together to be split among the employees at the end of a shift. The 4 waiters combin

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by Vincen » Tue Sep 08, 2020 7:23 am

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At a restaurant, all tips are added together to be split among the employees at the end of a shift. The 4 waiters combined get 2/3 of the money, the manager receives 1/4 and the busboy receives the remainder. If 1 waiter and the busboy together receive $30, how much money was earned in tips for the entire shift?

A. $90
B. $96
C. $108
D. $120
E. $180

Answer: D

Source: Princeton Review
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Re: At a restaurant, all tips are added together to be split among the employees at the end of a shift. The 4 waiters co

by Scott@TargetTestPrep » Fri Sep 11, 2020 1:15 pm
Vincen wrote: ↑
Tue Sep 08, 2020 7:23 am
 At a restaurant, all tips are added together to be split among the employees at the end of a shift. The 4 waiters combined get 2/3 of the money, the manager receives 1/4 and the busboy receives the remainder. If 1 waiter and the busboy together receive $30, how much money was earned in tips for the entire shift?

A. $90
B. $96
C. $108
D. $120
E. $180

Answer: D

Solution:

We can let n = the total amount of tips and thus (2n/3)/4 = 2n/12 = n/6 is the amount that one waiter receives.

Since the waiters and managers receive 2/3 + 1/4 = 8/12 + 3/12 = 11/12 of the total tips, the busboy receives 1/12 of the total tips. Now we can create the equation:

n/12 + n/6 = 30

Multiplying the equation by 12, we have:

n + 2n = 360

3n = 360

n = 120

Answer: D

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