Problema Solution
a merchant blends tea that sells for $5.80 a pound with tea that sells for $2.60 a pound to produce 80 lb of a mixture that sells for $4.00 a pound. how many pounds of each type of tea does the merchant use in the blend
Answer provided by our tutors
let 'x' represent the amount of $5.8 tea, then '80-x' represents the amount of $2.6 tea
we want a blend that sells for $4:
4 = (x/80)5.8 + ((80-x)/80)2.6
solving for 'x' we have x= 35
80-35 = 45
the merchant should use 35 pounds of the $5.80 tea and 45 pounds of the $2.60 tea