Question

Help with wordproblem?

Brian's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Brian
$4.10
per pound, and type B coffee costs
$5.70
per pound. This month, Brian made
173
pounds of the blend, for a total cost of
$859.70
. How many pounds of type B coffee did he use?

Answer 1

A is the mass of coffe A and B is the mass of coffee B

(4.10)(A)+(5.70)(B)=859.70

A+B= 173

isolate for A

A=173-B

(4.10)(173-B)+(5.70)(B)=859.70

-4.10B +5.70B= 150.4

B=94 pounds