Question

A camp has food stock for 500 people for 70 days. If 200 more people join the food how long will the stock last?

Answer 1

Hint: According to the question given in the question we have to determine that if 200 more people join the food how long will the stock last when a camp has food stock for 500 people for 70 days. So, first of all we have to determine the food capacity for 70 days for 500 people which can be determined by multiplying the given number of days with the given number of people.
Now, as mentioned in the question, 200 more people join for the same food, so we have to determine the new number of people.
Now, we have to determine the number of days that long food stocks last when the number of people is increased by dividing the total food with the new number of people.

Complete step-by-step solution:
Step 1: First of all we have to determine the food capacity for 70 days for 500 people which can be determined by multiplying the given number of days with the given number of people. Hence,
The camp has a stock for 500 people for 70 days so,
$
   = 500 \times 70 \\
   = 35000
 $
Step 2: Now, we have to determine the new number of people as mentioned in the question that 200 more people join that food. Hence,
$ \Rightarrow $New total number of people:
$
   = 500 + 200 \\
   = 700
 $
Step 3: Now, to determine the number of days that how long food stocks last when the number of people are increased by dividing the total food with the new number of people as mentioned in the solution hint.
Number of days:
$
   = \dfrac{{35000}}{{700}} \\
   = 50
 $

Hence, a camp has food stock for 500 people for 70 days and if 200 more people join the food then the stock will last in $50$days.

Note: To determine the number of days for which the food will last it is necessary to determine the food capacity for 500 people which will last in 70 days and can be determined by multiplying the given number of days with the given number of people.
The number of days that how long food stocks last when the number of people are increased by dividing the total food with the new number of people.