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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo

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Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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New post 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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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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New post 14 Jun 2016, 14:58
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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

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

Answer:

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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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New post 29 Jul 2016, 07:37
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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?

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
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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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New post 02 Dec 2016, 06:49
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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


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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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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New post 30 Jan 2019, 05:34
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:

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
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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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New post 31 Jan 2019, 10:51
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:

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


Since 15x represents the total amount of money that Makoto was paid, then x does mean the hourly pay.
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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo  [#permalink]

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New post 15 Sep 2019, 05:22
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

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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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Re: Makoto, Nishi, and Ozuro were paid a total of $780 for waxing the floo   [#permalink] 15 Sep 2019, 05:22
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