Heidi needs to make 160 lbs of a blend of coffee selling for

Heidi needs to make 160 lbs. of a blend of coffee selling for $4.14 a lb. using a high quality bean costing $6.25 lb and a cheaper bean costing $2.50lb. How much of the high quality and the cheaper bean must she combine to make a blend of 160lbs.to sell for $4.14 lb.

Solution

lets say x lb of high quality so remaining 160-x will be chaper bean

x(6.25)+(160-x)2.5 = 160*4.14

6.25x+400-2.5x=662.4

3.75x = 262.4

x=262.4/3.75 = 90.0266672 = 90.03 lb of high quality, 70.97 lb of cheaper bean