SOLUTION: A chemist needs 6 gallons of 88% gas by mixing 87% gas and 93% gas. how many gallons of each type of gas does he need?

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Question 743366: A chemist needs 6 gallons of 88% gas by mixing 87% gas and 93% gas.
how many gallons of each type of gas does he need?

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Learn the distinction between "gas" and "gasoline". A reader could easily take your question to mean 6 gallons of something in the gaseous state of matter. The question may, in fact, mean that, but seems unclear.

But, to the solution.

VARIABLES
T = 88% wanted
L = 87% source
H = 93% source
M = 6 gallons, mixture wanted
u = how much of Low percent gas
v = how much of High percent gas

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

SOLUTION METHOD
Solve the system symbolically for u and v. Substitute given values to evaluate u and v.