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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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14 Jun 2016, 13:28
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Question Stats:

94% (01:31) correct 6% (02:13) wrong based on 952 sessions

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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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14 Jun 2016, 13:58
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Top Contributor
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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

Here's a video that covers the concepts needed to answer this question:

Here's a follow-up practice question:

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

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29 Jul 2016, 06:37
2
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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29 Jul 2016, 09:24
1
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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Re: Makoto, Nishi, and Ozuro were paid a total of \$780 for waxing the floo  [#permalink]

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02 Dec 2016, 05:49
3
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:

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.

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

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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:

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.

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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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:

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.

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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12 Feb 2019, 03:39
https://youtu.be/n7IUzcJr6x8
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Re: Makoto, Nishi, and Ozuro were paid a total of \$780 for waxing the floo   [#permalink] 12 Feb 2019, 03:39
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# Makoto, Nishi, and Ozuro were paid a total of \$780 for waxing the floo

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