Repairing

Three employees earned a total of € 469 for repairing the equipment. They split the money so that the first got 20% more than the second and the third 15% more than the second. Thus, everyone got a total of € 469.

Correct answer:

a =  168
b =  140
c =  161

Step-by-step explanation:


a+b+c=469
a = b + 0.20 b
c = b + 0.15 b

a+b+c=469
a = b + 0.20·b
c = b + 0.15·b

a+b+c = 469
a-1.2b = 0
1.15b-c = 0

Row 2 - Row 1 → Row 2
a+b+c = 469
-2.2b-c = -469
1.15b-c = 0

Row 3 - 1.15/-2.2 · Row 2 → Row 3
a+b+c = 469
-2.2b-c = -469
-1.523c = -245.159


c = -245.15909091/-1.52272727 = 161
b = -469+c/-2.2 = -469+161/-2.2 = 140
a = 469-b-c = 469-140-161 = 168

a = 168
b = 140
c = 161

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