Dividing money 6

P 49,000 is to be divided among three children, X, Y, and Z. If X will receive double that of Y. Y will receive double that of Z, how much will Z will receive?

Final Answer:

Z =  7000

Step-by-step explanation:

$$\begin{gathered} X+Y+Z=49000 \\ X=2Y \\ Y=2Z \\ 49000=2\cdot (2\cdot Z)+2\cdot Z+Z \\ 7Z=49000 \\ Z=\frac{49000}{7}=7000 \\ Z=7000 \\ \text{ Verifying Solution: } \\ Y=2\cdot Z=2\cdot 7000=14000 \\ X=2\cdot Y=2\cdot 14000=28000 \\ s=X+Y+Z=28000+14000+7000=49000 \end{gathered}$$

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