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Sub 505 (Easy)|   Algebra|                           
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 14 Jun 2016, 14:28
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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?

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

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D
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 14 Jun 2016, 14:58
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AbdurRakib
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
Show more

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:
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D

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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 29 Jul 2016, 07:37
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AbdurRakib
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

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Also,

M + N + O= 780
15x + 20x + 30x = 780
65x = 780
x = 12


M= 15x
M = 15 *12 = 180
General Discussion
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 29 Jul 2016, 10:24
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Here the ratio of three people => 3:4:6
hence 13x=780=> x=60
Now makota was piad 3x => 3*60=> 180
Smash D
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 02 Dec 2016, 06:49
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AbdurRakib
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
Show more

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 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
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 30 Jan 2019, 05:34
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AbdurRakib
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 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
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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
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 31 Jan 2019, 10:51
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ScottTargetTestPrep
AbdurRakib
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 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
Show more

Since 15x represents the total amount of money that Makoto was paid, then x does mean the hourly pay.
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 15 Sep 2019, 05:22
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AbdurRakib
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

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Let the per hour rate be x
15x + 20x + 30x = 65x = 780
x = 12

Makoto was paid = 15x = 15*12= $180

IMO D

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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 28 Oct 2020, 07:33
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AbdurRakib
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

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\(780*\frac{15}{(15+20+30)}\)

\(780*\frac{15}{65}=180\), Answer must be (D)
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 29 Oct 2020, 01:52
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OG-21 explanation

Makoto, Nishi, and Ozuro worked a total of 15 + 20 + 30 = 65 hours and were paid a total of $780. Each was paid in proportion to the number of hours he or she worked. Therefore, Makoto was paid
15
65
($780) = $180.

AbdurRakib
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

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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 06 May 2021, 11:21
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AbdurRakib
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

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Answer: Option D

Video solution by GMATinsight

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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 26 May 2021, 04:25
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Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 26 May 2021, 05:24
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AbdurRakib
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

OG 2017 New Question
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M:N:O = 15:20:30 = 3*5:4*5:6*5

Since its a ratio problem, the answer must be a multiple of 15(3x5).
Only D is possible.

Answer D.
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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo 23 Jan 2026, 12:14
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