SOLUTION: A chemist mixed 87% gasoline with 93% gasoline to obtain 6 gallon of a blend that is 88% gasoline. how much 93% gasonline misture is needed?

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Question 740742: A chemist mixed 87% gasoline with 93% gasoline to obtain 6 gallon of a blend that is 88% gasoline. how much 93% gasonline misture is needed?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Let L, H, T, M, u, and v be positive real numbers, and L
L% material is to be mixed with H% material to obtain M gallons of a blend that is T% material. how much H% material is needed?

MAKE EQUATIONS TO DESCRIBE THE SITUATION

Let u = gallons of the L% material
Let v = gallons of the H% material
Both u and v are unknown variables which need to be resolved.

%28Lu%2BHv%29%2FM=T and u%2Bv=M
Solve the system for u and v.

SPECIFIC EXAMPLE - THE DESCRIBED EXERCISE PROBLEM

The generalized problem characterises a huge number of specific examples. In the current request for help, variables given correspond this way:
L = 87
H = 93
T = 88
M = 6
u = unknown
v = unknown
Substitute the given values into the solved formulas for u and v and find the values.