Yolandas coffee shop makes a blend that is a mixture of two types of coffee.

Question

Yolandas coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $5.45 per pound, and type B coffee costs $4.40 per pound. This month, Yolanda made 169 pounds of the blend, for a total cost of $820.25. How many pounds of type b coffee did she use.

Answer 1

Use systems of linear equations

A + B = 169

5.45A + 4.4 B = 820.25

I'll use substitution but you could use elimination as well

B = 169 - A

5.45A + 4.4(169-A) = 820.25

5.45A + 743.6-4.4A = 820.25

1.05A = 76.65

A = 73

73 + B = 169

B = 96

73 lbs. of coffee A and 96 lbs. of coffee B