Problema Solution
Tom's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Tom
$4.15
per pound, and type B coffee costs
$5.55
per pound. This month, Tom made
171
pounds of the blend, for a total cost of
$842.65
. How many pounds of type B coffee did he use?
Answer provided by our tutors
let
a = lbs of Type A coffee
b = lbs of Type B coffee
Tom made 171 pounds of the blend
a + b = 171
a = 171 - b
for a total cost of $842.65
4.15a + 5.55b = 842.65
plug a = 171 - b into the last equation
4.15(171 - b) + 5.55b = 842.65
by solving we find
b = 95 lbs
click here to see the step by step solution of the equation
Tom used 95 pounds of Type B coffee.