Algebra 1 Word Problem

Question

Raina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Raina $5.40 per pound, and type B coffee costs $4.10 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $326.40 . How many pounds of type A coffee were used?

Answer 1

5.4A + 4.1B = 326.4

B=2A

5.4 + 8.2A = 326.4

13.6 A = 326.4

A = 326.4/13.6 = 163.2/6.8 = 81.6/3.4 = 40.8/1.7 =408/17 = 24 pounds of A

B = 48 pounds of B