9. Ifin a hostel, there is enough rice to take careof 150 children for

1.	9. Ifin a hostel, there is enough rice to take careof 150 children for 21 days. How long willthis stock of rice last if 25 more children jointhe hostel and the daily consumption of ricedecreases from 125 grams to 100 grams perchild?
Answer» Rice consumed by 150 children in 21 days, per head 125 grams will be 150 * 21 * 125 = 393750 --------(1) Total students after new ones joined = 150 + 25 = 175 Consumption per head = 100 grams Let the rice lasts for x days Rice consumed by 175 children in x days, per head 100 grams will be 175 * 100 * x = 17500x -----------(2) Equating 1 and 2 393750 = 17500x x = 393750/17500 x = 22.5 Rice will last for 22.5 days ur solution is correct but this is a question of direct nd inverse variation so I need an answer accordingly

9. Ifin a hostel, there is enough rice to take careof 150 children for 21 days. How long willthis stock of rice last if 25 more children jointhe hostel and the daily consumption of ricedecreases from 125 grams to 100 grams perchild?

Answer»

Rice consumed by 150 children in 21 days, per head 125 grams will be

150 * 21 * 125 = 393750 --------(1)

Total students after new ones joined = 150 + 25 = 175

Consumption per head = 100 grams

Let the rice lasts for x days

Rice consumed by 175 children in x days, per head 100 grams will be

175 * 100 * x = 17500x -----------(2)

Equating 1 and 2

393750 = 17500x

x = 393750/17500

x = 22.5

Rice will last for 22.5 days

ur solution is correct but this is a question of direct nd inverse variation so I need an answer accordingly