Question

Melissa's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Melissa $ 5.95 per pound, and type B coffee costs $ 4.15 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $ 644.00 . How many pounds of type A coffee were used?

Answer 1

5.95x+4.15(3x)=644
Solve for x
X=35
Check
(5.95×35)+4.15×(3×35)=644

Answer 2

B=89 lbs ANSWER: The mix contained 89 pounds of Type B coffee.
CHECK:
167lbs-89lbs=78 lbs She used 78 pounds of Type A coffee.
$4.35A+$5.70B=$846.60
$4.35(78)+$5.70(89)=$846.60
$339.30+$507.30=$846.60
$846.60=$846.60