Question

The Roasted Bean charges

$17,00 per pound for Fair Trade Organic Mexican
coffee and $15.00 per pound for Fair Trade Organic
Peruvian coffee. How much of each type should be
used to make a 28-lb blend that sells for $16.00 per
pound?

Answer 1

14 pounds of each type should be used to make a 28 pounds blend that sells for $16 per pound.

Step-by-step explanation:

The Roasted Bean charges $17 per pound for Fair Trade Organic Mexican coffee and $15 per pound for Fair Trade Organic Peruvian coffee.

Let x pounds of Mexican coffee and y pounds of Peruvian coffee are mixed to prepare a 28 pounds blend that sells for $16 per pound.

So, x + y = 28 ........... (1)

Again,
`(17x + 15y)/(x + y) = 16`

⇒ 17x + 15y = 16x + 16y

⇒ x = y .......... (2)

Now, from equation (1) we have 2x = 28

⇒ x = 14 pounds

And y = 14 pounds. (Answer)