Mother‘s

Mother's weight is 50 kg, 0.5 times his weight, which is exactly 3/2 of the weight of the older sister. How many kilograms does the older sister weigh?

Correct answer:

s =  66.6667 kg

Step-by-step explanation:

$$\begin{gathered} m=50\text{kg} \\ m=0.5\cdot f \\ f=m/0.5=50/0.5=100\text{kg} \\ f=\frac{3}{2}\cdot s \\ s=\frac{2}{3}\cdot f=\frac{2}{3}\cdot 100=\frac{2\cdot 100}{3}=\frac{200}{3}=\frac{200}{3}\text{kg}=66.6667\text{kg} \end{gathered}$$

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