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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floors at their school...

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by AAPL » Thu Sep 03, 2020 10:36 am

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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floors at their school. Each was paid in proportion to the number of hours he or she worked. If Makoto worked 15 hours, Nishi worked 20 hours, and Ozuro worked 30 hours, how much was Makoto paid?

A. $52
B. $117
C. $130
D. $180
E. $234

OA D
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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floors at their school...

by Brent@GMATPrepNow » Mon Sep 07, 2020 7:08 am
AAPL wrote: ↑
Thu Sep 03, 2020 10:36 am
 Official Guide

Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floors at their school. Each was paid in proportion to the number of hours he or she worked. If Makoto worked 15 hours, Nishi worked 20 hours, and Ozuro worked 30 hours, how much was Makoto paid?

A. $52
B. $117
C. $130
D. $180
E. $234

OA D
Ratio of hours worked
Makoto : Nishi : Ozuro = 15 : 20 : 30

15 + 20 + 30 = 65
So, Makoto receives 15/65 of the total payment
Simplify to see that Makoto receives 3/13 of the total payment

3/13 of $780 = (3/13)($780) = $180

Answer: D

Here's a video that covers the concepts needed to answer this question:
https://www.youtube.com/watch?v=Yegch7sv6MY

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floors at their school...

by Scott@TargetTestPrep » Tue Sep 08, 2020 9:39 am
AAPL wrote: ↑
Thu Sep 03, 2020 10:36 am
 Official Guide

Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floors at their school. Each was paid in proportion to the number of hours he or she worked. If Makoto worked 15 hours, Nishi worked 20 hours, and Ozuro worked 30 hours, how much was Makoto paid?

A. $52
B. $117
C. $130
D. $180
E. $234

OA D
Solution:

We are given that Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floors at their school. Each was paid in proportion to the number of hours he or she worked. Since Makoto worked 15 hours, Nishi worked 20 hours, and Ozuro worked 30 hours, we can create the following proportion:

Makoto payment : Nishi payment : Ozuro payment = 15x : 20x : 30x

We can create the following equation to determine x:

15x + 20x + 30x = 780

65x = 780

x = 12

Since x = 12, Makoto was paid 15 x 12 = 180 dollars.

Answer: D

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