Question

500 people were standed on an island they had enough food to last for 30 days. How long the food would last if there were 200 more people.​

Answer 1

Step-by-step explanation:

Let total amount of food x .

x/500 = 30

x = 500 × 300

for 200 people food = (500×30)÷(200)= 75 days

Answer 2

The food lasts for  $21\dfrac{3}{7}$  days

Step-by-step explanation:

Given: The food on an island is enough for 500 people for 30 days

Now if there will be 200 more people

To find: number of days last for 200 more people

Now if 200 more people are on the island

Then number of people increased to 700 and no of days decrease

Therefore it is an inverse proportion

Days               30                 x

People            500             700

Therefore

$30\times 500 = x\times 700\\\\\Rightarrow x= \dfrac{30 \times 500}{700} = 21\dfrac{3}{7} days$

Hence, the food lasts for $21\dfrac{3}{7}$ days

#Learn more

In a camp there is enough food for 300 persons for 42 days how long will the food last if 50 more persons join the camp

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