Answer
It costs 8 dollars per pound of coffee and 2.75 dollars per pound of butter.
Work Step by Step
We call x the cost per pound of coffee and y the cost per pound of butter. Thus, we obtain:
$ 2x + y = 18.75 $
And
$ 3x + 2y = 29.5$
In order to solve this problem, we multiply one or both of the equations by a value that will make one of the variables cancel. We multiply the top equation by -2, and we multiply the bottom equation by 1. Then, we add the two equations to obtain:
$-x = -8 \\ x= 8 $
We plug in the given value into the top equation and solve for the other variable:
$ 2(8) + y = 18.75 \\ y = 2.75$
