Q14 of 38 Page 190

There was a food provision for twenty days in a refugee camp of the village Goplapur. After 7 days, 100 more refugees joined the refugee camp and they consumed the food grains within 11 days. Let’s write the number of refugees that were present initially.

Let number of refugees be x.


For 20 days food for x refugees will be 20 x.


When 7 days, food available is (20-7)x.


Now 100 refugees were added so the refugees will be x + 100.


Now total refugees consume food in 11 days i.e total food consumption will be 11(x+100).


As the quantity of food will be same,


So,


(20-7) x = 11(x+100)


13 x = 11 x + 1100


13 x – 11 x = 1100


2x = 1100


x =550


Hence there were 550 regugees.


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