Sibling brigade ratio

Siblings Peter, Pavel, and Lucy shared the money from the brigade in a ratio of 6:3:4. Peter got 48 euros more than Lucy. How much did they all get together?

Final Answer:

x =  312

Step-by-step explanation:

$$\begin{gathered} a:b:c=6:3:4 \\ a=48+c \\ 48=(6-4)\cdot d \\ d=\frac{48}{6-4}=24\text{Eur} \\ x=(6+3+4)\cdot d=(6+3+4)\cdot 24=312 \\ \text{ Verifying Solution: } \\ a=6\cdot d=6\cdot 24=144 \\ b=3\cdot d=3\cdot 24=72 \\ c=4\cdot d=4\cdot 24=96 \end{gathered}$$

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