SOLUTION: The manager of a store selling tea plans to mix a more expensive tea that costs $7 per pound with a less expensive tea that costs $4 per pound to create a 150 pound blend that will

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Question 794738: The manager of a store selling tea plans to mix a more expensive tea that costs $7 per pound with a less expensive tea that costs $4 per pound to create a 150 pound blend that will sell for $5.20 per pound. How many pounds of each type of tea are required? How do you solve?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
This is a specific example of a general type of two-part mixture problem. You can use all symbols first, as this:

L = lower priced
T = target priced
H = higher priced
M = amount of blend
u = how much of L
v = how much of H
The unknowns are u and v.

Note, L%3CT%3CH.

%28Lu%2BHv%29%2FM=T and u%2Bv=M.

Solve that as a system completely in symbols for u and v.
Substitute values and evaluate.