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31 Oct 2018, 01:32
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (02:06) correct
11%
(03:05)
wrong
based on 163
sessions
History
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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
A. $90
B. $96
C. $108
D. $120
E. $180
31 Oct 2018, 07:54
Kudos
Bookmarks
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
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
02 Nov 2018, 17:03
Kudos
Bookmarks
Bunuel
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
