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At a restaurant, all tips are added together to be split among the emp

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At a restaurant, all tips are added together to be split among the emp  [#permalink]

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New post 31 Oct 2018, 00:32
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A
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Difficulty:

  15% (low)

Question Stats:

90% (01:30) correct 10% (02:55) wrong based on 31 sessions

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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

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Re: At a restaurant, all tips are added together to be split among the emp  [#permalink]

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New post 31 Oct 2018, 06:54
Total tips = x
Busboy gets 1 - 2/3 - 1/4 = 1/12 of x
1 waiter gets (2/3)/4 = 2/12 of x

(2/12)*x + (1/12)*x = 30
x = 120

Option D
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Re: At a restaurant, all tips are added together to be split among the emp  [#permalink]

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New post 02 Nov 2018, 16:03
Bunuel wrote:
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


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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Re: At a restaurant, all tips are added together to be split among the emp &nbs [#permalink] 02 Nov 2018, 16:03
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