Boys and money

270 USD boys divided so that Peter got three times more than Paul and Ivan has 120 USD more than than Paul. How much each received?

Correct result:

a =  90
b =  30
c =  150

Solution:

a+b+c=270
a=3b
c= 120+b

a+b+c=270
a=3•b
c= 120+b

a+b+c = 270
a-3b = 0
b-c = -120

a = 90
b = 30
c = 150

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