Question

Paj is filling a -cubic-inch flower pot with soil from small bags. Each bag of soil contains cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?

Answer 1

Complete Question

Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3 cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?

Answer:

`Number\ of\ Bags = 3(3)/(8)`

Explanation:

Given

`Flower\ Pot = 9 in^3`

`Small\ Bag = 2(2)/(3) in^3`

Required

How many bag of soil can fill the flower pot

To solve this,we simply divide the volume of flower pots by the small bags. This is done as follows;

`Number\ of\ Bags = (Flower\ Pot)/(Small\ Bag)`

`Number\ of\ Bags = (9 in^3)/(2(2)/(3) in^3)`

Convert fraction

`Number\ of\ Bags= (9 in^3)/((8)/(3) in^3)`

`Number\ of\ Bags = 9 in^3/(8)/(3) in^3`

`Number\ of\ Bags = 9 * (3)/(8)`

`Number\ of\ Bags = (9 * 3)/(8)`

`Number\ of\ Bags = (27)/(8)`

`Number\ of\ Bags = 3(3)/(8)`

Hence, the number of bags needed is
`3(3)/(8)`