Help answer question (in description)

Question

Henry's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Henry
$4.05
per pound, and type B coffee costs
$5.90
per pound. This month, Henry made
123
pounds of the blend, for a total cost of
$592.50
. How many pounds of type B coffee did he use?

 

Answer 1

a + b = 123 -----> a = 123 - b

4.05a + 5.9b = 592.5(123)

4.05(123 - b) + 5.9b = 592.5

498.15 - 4.05b + 5.9b = 592.5

1.85b = 94.35

b = 51