Three friends

Divide 570 euros among three friends so that the first gets 50 euros less than the second and the third twice more than the first. How many euros will everyone get?

Correct answer:

a =  130
b =  180
c =  260

Step-by-step explanation:

$$\begin{gathered} 570=a+b+c \\ a=b-50 \\ c=2a \\ 570=a+(a+50)+2a \\ 570=a+(a+50)+2\cdot a \\ 4a=520 \\ a=\frac{520}{4}=130 \\ a=130 \end{gathered}$$

$b=a+50=130+50=180$

$c=2\cdot a=2\cdot 130=260$

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