Answer to Question #9781 in Algebra for douaa

Question

A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound. Two coffees will be mixed to create the new blend. The first coffee sells for $2.75 per pound and the second coffee sells for $5.00 per pound. What amounts of each coffee should be blended to obtain the new coffee blend if you want to have 100 lbs. to begin marketing?
Part a.
Write an expression to represent the amount (pounds) of the first coffee.

Answer 1

2.75*x + 5*(100 - x) = 3.9*100
2.25x = 110
x = 48.9
First coffee 48.9
lbs. and second coffee 51.1 lbs.