Question

 In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to the remaining meal?
(a) 20
(b) 30
(c) 40
(d) 50

Answer 1

Hint: At first find how much a meal for a child is equivalent to that of man. Then find how many men is equivalent for 150 children. Then subtract it from the total 120 men to get the answer.

Complete Step-by-Step solution:
 In the question we are given real conditions of a camp. It is said that meals are available for 120 men or 200 children which means the meal has the capacity to feed 120 men or 200 children. Now in the question it is said that 150 children already consumed the meal and it is asked for how many men the remaining meal can be catered for.
So, as we know that the meal of 200 children is equivalent to that of a meal of 120 men hence, we can say that a meal of 1 child is equivalent to $\left( \dfrac{120}{200} \right)$ men. So, as we know that 150 children already consumed, hence the meal for 150 children is equivalent to $\left( \dfrac{120}{200} \right)\times 150$ men which is equal to 90 men. So, in other languages we can say that 150 children or 90 men already consumed the meal. As the camp has capacity to prepare the meal for only 120 men out of which a meal of about 90 men is consumed by 150 children. So, the left food can be catered among 120 – 90 = 30 men.
Hence, only 30 men can be catered by the remaining meal.

Note: We can do the problem directly by calculating the children to be fed which is (200 – 150) = 50 children. Now as we know that 200 children are equivalent to 120 men so we find how many men is equivalent to 50 children