Trio

Trio of workers earn 750 euros. Money divided by the work that each of them made​​.

First received twice as the second, the second received three times more than the third. How many got everyone from workers?

Correct answer:

x₁ =  450 €
x₂ =  225 €
x₃ =  75 €

Step-by-step explanation:

$x_1=2\cdot 3\cdot (750\mathrm{/}(2\cdot 3+3+1))=450\text{ Eur}$

$x_2=3\cdot (750\mathrm{/}(2\cdot 3+3+1))=225\text{ Eur}$

$$\begin{gathered} 750=x_1+x_2+x_3 \\ 750=2x_2+x_2+x_3 \\ 750=6x_3+3x_3+x_3 \\ 750=10x_3 \\ {x}_3=75\text{ Eur } \\ {x}_2=3x_3=225Eur \\ {x}_1=2x_2=450Eur \end{gathered}$$

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