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?

Result

x1 =  450 €
x2 =  225 €
x3 =  75 €

Solution:

x1=2⋅ 3⋅ (750/(2⋅ 3+3+1))=450 Eurx_1=2 \cdot \ 3 \cdot \ (750/(2 \cdot \ 3+3+1))=450 \ \text{Eur}
x2=3⋅ (750/(2⋅ 3+3+1))=225 Eurx_2=3 \cdot \ (750/(2 \cdot \ 3+3+1))=225 \ \text{Eur}
 750=x1+x2+x3 750=2x2+x2+x3 750=6x3+3x3+x3  750=10x3  x3=75 Eur x2=3x3=225 Eur x1=2x2=450 Eur \ \\ 750 = x_1 + x_2 + x_3 \ \\ 750 = 2 x_2 + x_2 + x_3 \ \\ 750 = 6 x_3 + 3 x_3 + x_3 \ \\ \ \\ 750 = 10x_3 \ \\ \ \\ x_3 = 75 \ \text{Eur} \ \\ x_2 = 3 x_3 = 225 \ Eur \ \\ x_1 = 2 x_2 = 450 \ Eur

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