• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Reach higher with Artificial Intelligence. Guaranteed
Now free for 30 days

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code ## Waxing floors and getting paid This topic has 6 expert replies and 0 member replies AbeNeedsAnswers Master | Next Rank: 500 Posts Joined 02 Jul 2017 Posted: 192 messages Followed by: 2 members Upvotes: 1 #### Waxing floors and getting paid Sun Jul 02, 2017 11:21 am What's the fastest way to answer this question? 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 D ### GMAT/MBA Expert Matt@VeritasPrep GMAT Instructor Joined 12 Sep 2012 Posted: 2637 messages Followed by: 114 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 Wed Jul 05, 2017 12:26 am Another idea: by the Lazy Testwriter Principle, which I invoke endlessly on this forum (guess who's been a testwriter!), the amount that Makoto was paid should be divisible by 15, since a Lazy Testwriter would make her hourly wage an integer. Only D is so divisible, making it very likely the answer. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert Jeff@TargetTestPrep GMAT Instructor Joined 09 Apr 2015 Posted: 867 messages Followed by: 12 members Upvotes: 39 Thu Dec 07, 2017 5:08 pm AbeNeedsAnswers wrote: What's the fastest way to answer this question? 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 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.

Alternate Solution:

Since we know that Makotoâ€™s payment was equivalent to 15x, we know that his payment must be a multiple of 15. Since 180 is the only multiple of 15, the correct answer must be 180.

_________________
Jeffrey Miller Head of GMAT Instruction

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11404 messages
Followed by:
1229 members
5254
GMAT Score:
770
Sun Jul 02, 2017 11:57 am
What's the fastest way to answer this question?

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

D
TOTAL HOURS worked = 15 + 20 + 30 = 65 HOURS
TOTAL PAID = $780 RATE of pay =$780/65 hours = $12/hour Makoto worked for 15 hours. So, Makoto's payment = (15 hours)($12/hour) = $180 AnswerL D _________________ Brent Hanneson â€“ Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course Come see all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Rich.C@EMPOWERgmat.com Elite Legendary Member Joined 23 Jun 2013 Posted: 9305 messages Followed by: 478 members Upvotes: 2867 GMAT Score: 800 Mon Jul 03, 2017 5:18 pm Hi AbeNeedsAnswers, There are a variety of different ways to go about solving this problem. The question specifically uses the word "proportionally", so you could take advantage of the built-in ratios and solve it that way. In addition, the answer choices are 'spaced out' enough that we can use some estimation and avoid some of the specific calculations that you might use in other approaches. The three people worked a total of 15+20+30 = 65 hours and Makoto worked 15 of those hours. Thus, he/she worked.... 15/65 = 3/13 of the total hours We're told that the workers are paid proportionally based on the number of hours worked. 3/12 = 1/4, so 3/13 is a little less than 1/4. 1/4 of$780 = $195 So we're looking for an answer that's a little less than$195. There's only one answer that fits....

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

### GMAT/MBA Expert

Jay@ManhattanReview GMAT Instructor
Joined
22 Aug 2016
Posted:
1026 messages
Followed by:
22 members
470
Tue Jul 04, 2017 10:49 pm
What's the fastest way to answer this question?

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

D
This is a typical question on Ratio and Proportion.

Since each was paid in proportion to the number of hours he or she worked, $780 should be distributed in the ratio of 15 : 20 : 30, where 15 represents the share of Makoto. On a ratio scale the total payment = 15 + 20 + 30 = 65 Thus, the share of Makoto = (15/65)*780 =$180.

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Vienna | Kuala Lumpur | Sydney | and many more...

### GMAT/MBA Expert

Matt@VeritasPrep GMAT Instructor
Joined
12 Sep 2012
Posted:
2637 messages
Followed by:
114 members
625
Target GMAT Score:
V51
GMAT Score:
780
Wed Jul 05, 2017 12:24 am
Have to remark how surprised I was that this (splendidly) titled thread actually contained GMAT content.

Anyway, my approach: Makoto worked 15 of the 65 hours worked in all, so she'd be paid 15/65, or 3/13, of the total. 3/13 * $780 is$180, and we're done!

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

### Best Conversation Starters

1 lheiannie07 84 topics
2 LUANDATO 60 topics
3 ardz24 56 topics
4 M7MBA 50 topics
5 AAPL 44 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Rich.C@EMPOWERgma...

EMPOWERgmat

136 posts
2 GMATGuruNY

The Princeton Review Teacher

133 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

130 posts
4 Scott@TargetTestPrep

Target Test Prep

118 posts
5 Jeff@TargetTestPrep

Target Test Prep

114 posts
See More Top Beat The GMAT Experts