SOLUTION: A merchant blends tea that sells for $4.65 a pound with tea that sells for $2.25 a pound to produce 70 lb of a mixture that sells for $3.45 a pound. How many pounds of each type of

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Question 756483: A merchant blends tea that sells for $4.65 a pound with tea that sells for $2.25 a pound to produce 70 lb of a mixture that sells for $3.45 a pound. How many pounds of each type of tea does the merchant use in the blend?
(at $4.65/lb) ?
lb(at $2.25/lb)?

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
ASSIGN VARIABLES
L=$2.25 per pound
H=$4.65 per pound
T=$3.45 per pound
M = 70 pounds mixture
u = pounds of the cheap tea
v = pounds of expensive tea

FIND EQUATIONS
highlight%28%28Lu%2BHv%29%2FM=T%29 and highlight%28u%2Bv=M%29

Solve the system for u and v. You will have formulas to use for finding their values using the values of the other given numbers.