A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
elling for $8.85 a pound is blended with Brazilian coffee selling for $3.85 a pound to make a product that sells for $6.55 a pound. How much of each type of coffee should be used to make the blend that will fill the orders?
X - Columbian coffee ( in pounds), y - Brazilian coffee ( in pounds ); x + y = 100 8.85 x + 3.85 y = 6.55 ( x + y ) ---------------------------------------- x = 100 - y 8.85 ( 100 - y ) + 3.85 y = 6.55 * 100 855 - 8.55 y + 3.85 y = 655 - 5 y = - 230 y = ( - 230 ) : ( - 5 ) y = 46 x = 100 - 46 x = 54 Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
