How to create a linear equation from a word problem

Question

Deandre's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Deandre $5.90 per pound, and type B coffee costs $4.30 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $362.50 . How many pounds of type A coffee were used?

Answer 1

Let A = the number of pounds of Type A coffee

Let B = the number of pounds of Type B coffee

B = 2A

5.90A + 4.30B = 362.50   Multiply both sides of the equation by 100

590A + 430B = 36250

590A + 430(2A) = 36250

590A + 860A = 36250

1450 A = 36250

A = 25 pounds of coffee

B = 2A = 2(50) = 50 pounds of coffee