SOLUTION: A chemist wants to mix three different solutions to create 100 milliliters of a solution that is 15% alcohol. Solution A is​ 10% alcohol, solution B is​ 15% alcohol, an

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Question 1018007: A chemist wants to mix three different solutions to create 100 milliliters of a solution that is 15% alcohol. Solution A is​ 10% alcohol, solution B is​ 15% alcohol, and solution C is​ 30% alcohol. The amount of solution A that is used must be three times the amount of solution B that is used. How many milliliters of each solution should the chemist​ combin
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
a   volume solution A   concentration 10%
b   volume solution B   conc,  15%
c   volume solution C   conc, 30%

a=3b

100 ml. of solution wanted, 15% concentration result.

This is your starting system: system%28a%2Bb%2Bc=100%2C10a%2B15b%2B30c=100%2A15%2Ca=3b%29

Immediately simplify the concentration equation.
2a%2B3b%2B6c=20%2A15
2a%2B3b%2B6c=300

And substitute for a in the volume and simplified concentration equations.
system%283b%2Bb%2Bc=100%2C2%2A3b%2B3b%2B6c=300%29
system%284b%2Bc=100%2C9b%2B6c=300%29
and one more simplification...
highlight%28system%284b%2Bc=100%2C3b%2B2c=100%29%29

Not a big problem from here. You finish.