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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo
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14 Jun 2016, 13:28

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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?

Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo
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14 Jun 2016, 13:58

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AbdurRakib wrote:

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

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

Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo
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29 Jul 2016, 06:37

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AbdurRakib wrote:

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?

Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo
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02 Dec 2016, 05:49

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1

AbdurRakib wrote:

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:

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 Makoto’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.

Answer: D
_________________

Scott Woodbury-Stewart Founder and CEO

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo
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30 Jan 2019, 04:34

ScottTargetTestPrep wrote:

AbdurRakib wrote:

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:

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 Makoto’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.

Answer: D

Hi Scott

Does the variable X represent the per hour pay? As when we create the equation 65X=780 we are trying to create (total hours worked*per hour pay = total pay)?

Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo
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31 Jan 2019, 09:51

Pritishd wrote:

ScottTargetTestPrep wrote:

AbdurRakib wrote:

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:

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 Makoto’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.

Answer: D

Hi Scott

Does the variable X represent the per hour pay? As when we create the equation 65X=780 we are trying to create (total hours worked*per hour pay = total pay)?

Warm Regards, Pritish

Since 15x represents the total amount of money that Makoto was paid, then x does mean the hourly pay.
_________________

Scott Woodbury-Stewart Founder and CEO

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions