A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg o

Question

A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of these grains to the first customer. Then, it sells half of the remaining quantity and an additional 3 kg of these grains to the second customer. Finally, when the shop sells half of the remaining quantity and an additional 3 kg of these grains to the third customer, there are no grains left. The initial quantity, in kg, of grains is

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Accepted Answer

42. Let us say the quantity of grains is X For the first customer he sells X 2 + 3 \frac{X}{2}+3 2 X ​ + 3 Remaining is X 2 − 3 \frac{X}{2}-3 2 X ​ − 3 Second customer he sells: X 4 − 3 2 + 3 = X 4 + 3 2 \frac{X}{4}-\frac{3}{2}+3=\frac{X}{4}+\frac{3}{2} 4 X ​ − 2 3 ​ + 3 = 4 X ​ + 2 3 ​ Remaining will b