The store 2

The store owner ordered 3/4 of a sack of sugar. Each sacks of sugar contained 50 kilograms.
The supplier sent only 2/3 of the order.
How many more kilograms of sugar should the supplier send?

Correct answer:

x =  12.5 kg

Step-by-step explanation:

$$\begin{gathered} s=50\text{kg} \\ a=\frac{3}{4}\cdot s=\frac{3}{4}\cdot 50=\frac{3\cdot 50}{4}=\frac{150}{4}=\frac{75}{2}=37.5\text{kg} \\ b=\frac{2}{3}\cdot a=\frac{2}{3}\cdot \frac{75}{2}=\frac{2\cdot 75}{3\cdot 2}=\frac{150}{6}=25\text{kg} \\ x=a-b=\frac{75}{2}-25=\frac{75}{2}-\frac{25\cdot 2}{2}=\frac{75}{2}-\frac{50}{2}=\frac{75-50}{2}=\frac{25}{2}=\frac{25}{2}\text{kg}=12.5\text{kg} \end{gathered}$$

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