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

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by AAPL » Sat Jul 25, 2020 3:59 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

OA D

Source: Beat The GMAT — Problem Solving | Sat Jul 25, 2020 3:59 am

hahahehe: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Thu May 28, 2020 11:47 amFollowed by: 1 member

Re: At a restaurant, all tips are added together to be split among the employees at the end of a shift...

by hahahehe » Sat Jul 25, 2020 4:10 am

Let total collected amount be X
Now waiters get = (2/3) X
So individual waiter gets: (2/3)X / 4 = X/6
Manager gets = X/4
Busboy gets = Total - waiters' share - manager's share = X - 2X/3 - X/4 = X/12

Now one waiter's share + busboy's share = X/6 + X/12 = X/4
X/4 is said to be $30
X/4 = 30
X = $120

Srishtim23: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Sat Jul 25, 2020 6:13 am

Re: At a restaurant, all tips are added together to be split among the employees at the end of a shift...

by Srishtim23 » Sat Jul 25, 2020 6:21 am

Let total tip be x, 4 Waiters(W) earn $\frac{2x}{3}$ , Manger(M) $\frac{x}{4}$ and busboy(B) remaining amount which will be $\frac{x}{12}$
Now Given 1 W +1 B = 30
4W = $\frac{2x}{3}$ , so 1W= $\frac{2x}{12}$
$\frac{2x}{12}$ + $\frac{1x}{12}$ = 30

You will get x= 120.
OA: D

dashingnightmare: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Fri Jul 24, 2020 9:40 pm

Re: At a restaurant, all tips are added together to be split among the employees at the end of a shift...

by dashingnightmare » Sat Jul 25, 2020 12:35 pm

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