Ashley's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ashley $4.30 per pound, and type B coffee costs $5.90 per pound. This month, Ashley made 142 pounds of the blend, for a total cost of $749.80. How many pounds of type B coffee did she use?

Ashley used 87 pounds of type B coffee

Explanation:

4.3a + 5.9b = 749.80

a + b = 142

b = 142-a

4.3a + 5.9 (142-a) = 749.80

4,3a + 5.9 (142-a) = 749.80

4.3a + 837.8 - 5.9a = 749.80

4.3a - 5.9a = 749.80 - 837.80

-1.6a = - 88

a = - 88 / 1.6 = 55

55 + b = 142

b = 142 - 55 = 87

That is the way we get how many pounds of type B coffee Ashley used