Paper money

Four friends received money for collecting paper as follows: Miro received a quarter of the total amount, Rob received a third of the rest of the money, and Boris received half of the money left by Miro and Rob. Peter has 16 euros left. How many euros did Miro and Rob get together?

Final Answer:

x =  32 Eur

Step-by-step explanation:

$$\begin{gathered} P=16\text{eur} \\ M=c/4 \\ R=(c-M)/3 \\ B=(c-M-R)/2 \\ c=M+R+B+P \\ c=c/4+(c-M)/3+(c-M-R)/2+P \\ c=c/4+(c-c/4)/3+(c-c/4-(c-c/4)/3)/2+P \\ c=c/4+(c-c/4)/3+(c-c/4-(c-c/4)/3)/2+16 \\ 3c=192 \\ c=\frac{192}{3}=64 \\ c=64 \\ M=c/4=64/4=16\text{eur} \\ R=(c-M)/3=(64-16)/3=16\text{eur} \\ x=M+R=16+16=32\text{Eur} \end{gathered}$$

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