Summerjob

Albert, Beny, Cyril, and Dan worked on a summer job. From the total revenue, Albert received 2/5, Beny 1/6, 3/10 Cyril, and Dan the rest, which is 324 euros.

How many euros were earned for every one of them?

Correct answer:

A =  972 Eur
B =  405 Eur
C =  729 Eur
D =  324 Eur

Step-by-step explanation:

$$\begin{gathered} D=324 \\ x\cdot (\frac{2}{5}+\frac{1}{6}+\frac{3}{10})+324=x \\ x\cdot (2/5+1/6+3/10)+324=x \\ 4x=9720 \\ x=\frac{9720}{4}=2430 \\ x=2430 \\ A=\frac{2}{5}\cdot x=\frac{2}{5}\cdot 2430=\frac{2\cdot 2430}{5}=\frac{4860}{5}=972\text{Eur} \end{gathered}$$

$B=\frac{1}{6}\cdot x=\frac{1}{6}\cdot 2430=\frac{1\cdot 2430}{6}=\frac{2430}{6}=405\text{Eur}$

$C=\frac{3}{10}\cdot x=\frac{3}{10}\cdot 2430=\frac{3\cdot 2430}{10}=\frac{7290}{10}=729\text{Eur}$

$D=324=324\text{Eur}$

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