Part-time 8379

Three part-time workers earned a total of 560 €. The first made 20% more than the second and the third 40% less than the second. How much did each of them earn?

Correct answer:

a =  240
b =  200
c =  120

Step-by-step explanation:


a+b+c=560
a = b+ 0.20 b
c = b- 0.40b

a+b+c=560
a = b+ 0.20·b
c = b- 0.40·b

a+b+c = 560
a-1.2b = 0
0.6b-c = 0

Row 2 - Row 1 → Row 2
a+b+c = 560
-2.2b-c = -560
0.6b-c = 0

Row 3 - 0.6/-2.2 · Row 2 → Row 3
a+b+c = 560
-2.2b-c = -560
-1.273c = -152.727


c = -152.72727273/-1.27272727 = 120
b = -560+c/-2.2 = -560+120/-2.2 = 200
a = 560-b-c = 560-200-120 = 240

a = 240
b = 200
c = 120

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