Mixture word problem

Question

The Lost bean sells a blend of coffee made from two different coffees. The first coffee costs $2.50/lb, and the second coffee costs $3.00/lb. If the blend is $2.80/lb, how much of each coffee is used? (Assume you need to make 100 lbs of the blend)

Answer 1

let x = amount of 2.50  coffee in a pound of the blend

let 1.0 - x - amount -f 3.00 coffee in a pound of the blend

2.50x + 3(1.0 - x) = 2.80-.5x + 3.0 = 2.80

-.5x = -.2

5x = 2

x = .4

 

So, in 100 lbs,

the amount of the 2.50 coffee is 40 lbs

the amount of the 3.00 coffee is 60 lbs