# 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.

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

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