A merchant blends tea that sells for $5.85 a pound with tea that sells for $2.85 a pound to produce 90 lb of a mixture that sells for $3.25 a pound. How many p

Question

(end of question) pounds of each type of tea does the merchant use in the blend?

Answer 1

Let x = lbs of $5.85/lb tea

90 - x = lbs of $2.85/lb tea

Total = 90 lb and total cash = 90 lb x $3.25/lb = $292.50

 

(x)(5.85) + (90-x)(2.85) = (90)(3.25)= 292.50

5.85x + 256.50 - 2.85x = 292.50

3x = 36

x = 12 lbs of the $5.85/lb tea mixed with 78 lbs of the $2.85/lb tea to produce 90 lbs of $3.25/lb tea