Plastering 6132

Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual ratio they divided the earnings and how much each of them received.

Correct answer:

a =  28350
b =  9450
c =  6300
p = 9:3:2

Step-by-step explanation:


a+b+c = 44100
a = 3b
b = c + c/2

a+b+c = 44100
a = 3·b
b = c + c/2

a+b+c = 44100
a-3b = 0
2b-3c = 0

Row 2 - Row 1 → Row 2
a+b+c = 44100
-4b-c = -44100
2b-3c = 0

Row 3 - 2/-4 · Row 2 → Row 3
a+b+c = 44100
-4b-c = -44100
-3.5c = -22050


c = -22050/-3.5 = 6300
b = -44100+c/-4 = -44100+6300/-4 = 9450
a = 44100-b-c = 44100-9450-6300 = 28350

a = 28350
b = 9450
c = 6300

Our linear equations calculator calculates it.
p = a:b:c 28350:9450:6300 28350=234527 9450=233527 6300=2232527 GCD(28350,9450,6300)=232527=3150  k=GCD(28350,9450,6300)=3150 p=9:3:2



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