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

Answer:

$31\frac{1}{8}$ pounds

Step-by-step 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.

$24\frac{3}{4}+24\frac{3}{4}+19\frac{3}{8}$

Convert mixed fraction into improper fraction:

$24\frac{3}{4}\Rightarrow \frac{24\times 4+3}{4}=\frac{96+3}{4}=\frac{99}{4}$

$19\frac{3}{8}\Rightarrow \frac{19\times 8+3}{8}=\frac{152+3}{8}=\frac{155}{8}$

$24\frac{3}{4}+24\frac{3}{4}+19\frac{3}{8}\Rightarrow\frac{99}{4}+\frac{99}{4}+\frac{155}{8}$

$\frac{99+99}{4}+\frac{155}{8}$

$\frac{198}{4}+\frac{155}{8}$

Make a common denominator:

$\frac{198*2}{4*2}+\frac{155}{8}$

$\frac{396}{8}+\frac{155}{8}$

Combine numerators:

$\frac{396+155}{8}$

$\frac{551}{8}$

Now, we will subtract this amount from 100.

$100-\frac{551}{8}$

$\frac{8*100}{8}-\frac{551}{8}$

$\frac{800}{8}-\frac{551}{8}$

$\frac{800-551}{8}$

$\frac{249}{8}$

$31\frac{1}{8}$

Therefore, DeAngelo still needs $31\frac{1}{8}$ pounds of gardening soil in order to do the job.