SOLUTION: Three acid solutions: 10%, 20%, 40%. How many ml of each to make 100ml of 18% solution if have to use four times as much of the 10% solution as the 40% solution. x + y + z = 100;

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Question 306030: Three acid solutions: 10%, 20%, 40%. How many ml of each to make 100ml of 18% solution if have to use four times as much of the 10% solution as the 40% solution.
x + y + z = 100; .1x + .2y + .4z = 100 x .18 = 18
Need to use matrix and graphing calculator, but only have two equations and three unknowns. Help!

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
.1*x+.2y+.4*z=100*.18
x+y+z=100
x=4z
three equations three unknowns
x=40 y=50 z=10