SOLUTION: A merchant blends tea that sells for $2.85 per pound with tea that sells for $2.60 per pound to produce 120 lb of a mixture that sells for $2.75 a pound. How many pounds of each ty

Algebra ->  Equations -> SOLUTION: A merchant blends tea that sells for $2.85 per pound with tea that sells for $2.60 per pound to produce 120 lb of a mixture that sells for $2.75 a pound. How many pounds of each ty      Log On


   

Question 776106: A merchant blends tea that sells for $2.85 per pound with tea that sells for $2.60 per pound to produce 120 lb of a mixture that sells for $2.75 a pound. How many pounds of each type of tea does the merchant use in the blend?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The concentration for this mixture problem is units of DOLLARS per POUND. The teas being mixed contain DOLLARS.

VARIABLES
H = $2.85 per pound
T = $2.75 per pound, what is wanted when mixed
L = $2.60 per pound
x = unknown pounds of the L tea
y = unknown pounds of the H tea
M = 120 pounds mixture

EQUATIONS TO FORM A SYSTEM
%28Lu%2BHv%29%2FM=T and u%2Bv=M

Solve the system for u and v.
Substitute the values to find the values for u and v.