Swimming pool 5

There are 5500 men, women, and children at the swimming pool. There are twice as many women as men and four times as many children as women. How many men, women, and children are there at the swimming pool?

Correct answer:

m =  500
z =  1000
d =  4000

Step-by-step explanation:

$$\begin{gathered} m+z+d=5500 \\ z=2m \\ d=4z \\ m+z+4z=5500 \\ m+5z=5500 \\ m+5\cdot 2m=5500 \\ m+5\cdot 2\cdot m=5500 \\ 11m=5500 \\ m=\frac{5500}{11}=500 \\ m=500 \end{gathered}$$

$z=2\cdot m=2\cdot 500=1000$

$d=4\cdot z=4\cdot 1000=4000$

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