Rita's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Rita $5.45 per pound, and type B coffee costs $4.30 per pound. This month, Rita made 177 pounds of the blend, for a total cost of $872.65. How many pounds of type A coffee did she use?

She used 97 pounds of type A coffee.

Explanation:

let they made X pounds of A coffee

that means they made (177 - X) pounds of B coffee

cost of coffee A = $5.45X

cost of coffee B = (177 - X) * $4.30

total cost = 5.45X + (177 - X) * $4.30

= $872.65

$5.45X + (177 - X) * $4.30 = $872.65

$5.45X + $761.1 - $4.30X = $872.65

$1.15X = 111.55

X = 97

Therefore, she used 97 pounds of type A coffee.