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

Here the ratio of three people => 3:4:6
hence 13x=780=> x=60
Now makota was piad 3x => 3*60=> 180
Smash D

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.

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

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

IMO D

Posted from my mobile device

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

\(780*\frac{15}{65}=180\), Answer must be (D)

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.

Answer: Option D

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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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