The Roasted Bean charges$17,00 per pound for Fair Trade Organic Mexicancoffee and $15.00 per pound for Fair Trade OrganicPeruvian coffee. How much of each type should beused to make a 28-lb blend that sells for $16.00 perpound?

Answer: 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, [tex]\frac{17x + 15y}{x + y} = 16[/tex] ⇒ 17x + 15y = 16x + 16y ⇒ x = y .......... (2) Now, from equation (1) we have 2x = 28 ⇒ x = 14 pounds  And y = 14 pounds. (Answer)