Problema Solution
Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny
$4.50
per pound, and type B coffee costs
$5.75
per pound. This month, Jenny made
119
pounds of the blend, for a total cost of
$621.75
. How many pounds of type B coffee did she use?
Answer provided by our tutors
Let
x = pounds of type A, x>0
y = pounds of type B, y>0
This month, Jenny made 119 pounds of the blend:
x + y = 119
For a total cost of $621.75:
4.50x + 5.75y = 621.75
We have the following system of equations:
x + y = 119
4.50x + 5.75y = 621.75
........
........
x = 50 lbs
y = 69 lbs
Jenny used 69 pounds of type B.