How many pounds of type A coffee were used?

Question

Mary's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Mary $5.90

 per pound, and type B coffee costs $4.75

 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $584.35

. How many pounds of type A coffee were used?

Answer 1

5.9A +4.75(3A) = 584.35

5.9A + 14.25A = 584.35

20.15A = 584.35

A = 584.35/20.15 =29 pounds of A

B = 3(29) = 87 pounds of B