Problema Solution
Charmaines coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs charmaine $5.15 per pound, and type B coffee costs $4.05 per pound. This month charmaine made 146 pounds of blend, for a total cost of $660.60. how many pounds of type B coffee did she use?
Answer provided by our tutors
let
x = lbs of type A coffee
y = lbs of type B coffee
x and y blended give 146 lbs for a total cost of $660.60
x + y = 146
the cost of Type A + the cost of Type B = the total cost of the blend
5.15x + 4.05y = 660.60
by solving the system of equations
x + y = 146
5.15x + 4.05y = 660.60
we find
x = 63 lbs
y = 83 lbs
click here to see the step by step solution of the system of equations
She used 83 lbs of the Type B coffee.