A cat eats 2/3 cup of food each day. How many days will a bag containing 16 cups of food last?

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the statement:

A cat eats ⅔ cup of food each day.

Determine how many days will a bag containing 16 cups of food last.

Solution:

In order to determine the number of days that the food will last, we simply need to divide 16 by ⅔. We must take note that if we have fraction as  the divisor, we simply need to take its reciprocal or its inverse value, then multiply it by the numerator. In our case the reciprocal of ⅔ is 3/2, hence we mustilply 16 by 3/2

= 16 / ⅔

= 16 ( 3/2)

= 48/2

= 24

Final answer:

The bag of food will last for 24 days.