SOLUTION: suppose that you have a supply of a 20% solution of alcohol and a 70% solution of alcohol. How man quarts of each should be mixed to produce 50 quarts that is 40% alcohol?

Question 784974: suppose that you have a supply of a 20% solution of alcohol and a 70% solution of alcohol. How man quarts of each should be mixed to produce 50 quarts that is 40% alcohol?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
ASSIGN VARIABLES
H = 70%
L = 20%
T = 40%, concentration wanted
M = 50 quarts, quantity wanted
u = unknown volume of 20%
v = unknown volume of 70%

MAKE EQUATIONS FOR SYSTEM

and

Solve for u and v. The equations will be linear so the rational one with T is easily transformed into a more familiar format.

, and

Divide by or multiply by because computations will be easier that way:

'
Use that for u and then go back to .

SUBSTITUTE THE GIVEN VALUES TO FIND THE UNKNOWN VALUES
Just use the number values from the description, listed as "ASSIGN VARIABLES".
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