A merchant blends tea that sells for $5.00 a pound with tea that sells for $3.00 a pound to produce 80 lb of a mixture that sells for $3.75 a pound. How many pounds of each type of tea does the merchant use in the blend?

Answer 1

amount of the $5.00 tea ---- x pounds
amount of the $3.00 tea ---- 80-x

solve for x

5x + 3(80-x) = 80(3.75)