Question

DeAngelo needs 100 lb of garden soil to landscape a building. In the company’s storage area, he finds 2 cases holding 24 3/4 lb of garden soil each, and a third case holding 19 3/8 lb. How much gardening soil does DeAngelo still need in order to do the job?

Answer 1

`31(1)/(8)` pounds

Explanation:

We have been given that DeAngelo needs 100 lb of garden soil to landscape a building.

First of all, we will find total amount of garden soil available in storage area.

`24(3)/(4)+24(3)/(4)+19(3)/(8)`

Convert mixed fraction into improper fraction:

`24(3)/(4)\Rightarrow (24* 4+3)/(4)=(96+3)/(4)=(99)/(4)`

`19(3)/(8)\Rightarrow (19* 8+3)/(8)=(152+3)/(8)=(155)/(8)`

`24(3)/(4)+24(3)/(4)+19(3)/(8)\Rightarrow(99)/(4)+(99)/(4)+(155)/(8)`

`(99+99)/(4)+(155)/(8)`

`(198)/(4)+(155)/(8)`

Make a common denominator:

`(198*2)/(4*2)+(155)/(8)`

`(396)/(8)+(155)/(8)`

Combine numerators:

`(396+155)/(8)`

`(551)/(8)`

Now, we will subtract this amount from 100.

`100-(551)/(8)`

`(8*100)/(8)-(551)/(8)`

`(800)/(8)-(551)/(8)`

`(800-551)/(8)`

`(249)/(8)`

`31(1)/(8)`

Therefore, DeAngelo still needs
`31(1)/(8)` pounds of gardening soil in order to do the job.