Question 75

At a refugee camp, the food supplies were enough to feed 300 refugees for 45 days. But 60 more refugees joined after 15 days. For how many days would the rest of the food supplies last?

Solution

$$refugee_{1} \times days_{1} = refugee_{2} \times days_{2}$$

When the number of refugees increases, then the number of days food supplies rest is 'y' days.

$$300\times45=300\times15+(300+60)\times y$$

$$300\times45=300\times15+360\times y$$

$$5\times15=5\times5+2\times y$$

75=25+2y

2y = 75-25

2y = 50

y = 25 days

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