Dollars

Mother split 760 dollars between Jane, Dane, and Eve: Jane got three times more than Dane and Dane and 40 dollars more than Eve. How much does each of them?

Final Answer:

j =  480
d =  160
e =  120

Step-by-step explanation:

$$\begin{gathered} j+d+e=760 \\ j=3d \\ d=40+e \\ j+d+e=760 \\ 3d+d+e=760 \\ 4d+e=760 \\ 4(40+e)+e=760 \\ 4\cdot (40+e)+e=760 \\ 5e=600 \\ e=\frac{600}{5}=120 \\ e=120 \\ d=40+e=40+120=160 \\ j=3\cdot d=3\cdot 160=480 \end{gathered}$$

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