Given :
A store pays $1.25 per pound for cat litter.
One cubic foot of cat litter weighs about 48 pounds.
To Find :
the selling price of cat litter in the container shown when the markup is 20%.
( dimensions are 6 in x 7 in x 9 in )
Solution :
Volume of container,
V = 6 in x 7 in x 9 in
V = 378 in³
We know, 1 cubic foot = 1728 in³.
So, weight of litter in 378 in³ is :
[tex]W = \dfrac{378}{1728}\times 48\\\\W = 10.5 \ pounds[/tex]
Selling price with 20% markup is :
[tex]P = [1.25+(1.25\times 0.20)] \times 10.5\\\\P = \$15.75[/tex]
Therefore, the price of litter in 1 container of given dimensions is $15.75 .
