How many pounds of each type of tea does the merchant use in the blend?

Question

A merchant blends tea that sells for $5.10 a pound with tea that sells for $2.60 a pound to produce 50 lb of a mixture that sells for $3.80. How many pounds of each type of tea does the merchant use in the blend?

 

at $5.10?

 

at $2.60

Answer 1

$5.10 - $3.80 = $1.30 difference

$3.80 - $2.60 = $1.20 difference

Total difference = $2.50

 

1.2/2.5 = .48

1.3/2.5 = .52

 

Therefore we need .48(50 pounds) and .52(50 pounds)

 

24 pounds at $5.10

26 pounds at $2.60