Boys and money

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

Correct answer:

a =  90 Kc
b =  30 Kc
c =  150 Kc

Step-by-step explanation:

a+b+c=270 a=3b c=120+b  a+b+c=270 a=3 b c=120+b  a+b+c=270 a3b=0 bc=120  Row2Row1Row2 a+b+c=270 4bc=270 bc=120  Row341 Row2Row3 a+b+c=270 4bc=270 1.25c=187.5  c=1.25187.5=150 b=4270+c=4270+150=30 a=270bc=27030150=90  a=90 b=30 c=150

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