Ann's Coffee Shop makes a blend that is a mixture of two types of coffee.

Question

Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $4.65 per pound, and type B coffee costs $5.70 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $435.00 . How many pounds of type A coffee were used?

Answer 1

three times as many pounds of type B coffee as type A:

B = 3A

 

4.65A + 5.70B = 435

4.65A + 5.7(3A) = 435

4.65A + 17.1A = 435

21.75A = 435

A = 20 pounds of type A coffee

 

Noting that B = 3A he mixed 60 pounds of type B