60 boys in a hostel have food for 30 days. How long would the food last for 72 boys. Tell me how to do it with explanation please​

Answer :

Answer:

The food will last for 25 days with 72 boys

Step-by-step explanation:

Proportions can be used to find the number of days the food will last for 72 boys.

60 boys in a hostel have food for 30 days.

Let x be the number of days for which the food will last

The proportion or product of both scenarios has to be same as the number of days and number of boys are proportional

Which means

[tex]60*30 = 72 * x\\x = \frac{60*30}{72}\\x = 25[/tex]

Hence,

The food will last for 25 days with 72 boys