Problema Solution

A coffee merchant combines coffee that costs $6 per pound with coffee that costs $3.50 per pound. How many pounds of each should be used to make 25lb of blend costing $5.25 per pound.

Answer provided by our tutors

let 'x' represent the amount of $6 coffee used, then '25-x' represents the amount of $3.5 coffee used and we have this equation:


25*5.25 = 6x + 3.5(25-x)

solving for 'x' we have x=17.5


25-17.5 = 7.5


17.5 pounds of $6 coffee should be blended with 7.5 pounds of $3.50 coffee