SOLUTION: a chemist needs 110 milliliters of a 46% solution but has only 40% and 73% solutions available. Find how many mililiters of each that should be mixed to get the desired solution.

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Question 346125: a chemist needs 110 milliliters of a 46% solution but has only 40% and 73% solutions available. Find how many mililiters of each that should be mixed to get the desired solution.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 40% solution.
Let B be the amount of 73% solution.
.
.
Total volume equation:
1.A%2BB=110
.
.
Concentration equation:
2.40A%2B73B=46%28110%29
From eq. 1,
A=110-B
Substitute into eq. 2,
40%28110-B%29%2B73B=46%28110%29
40%28110%29-40B%2B73B=46%28110%29
33B=6%28110%29
B=%286%2A110%29%2F%283%2A11%29
highlight%28B=20%29ml
Then from eq. 1,
A%2B20=110
highlight%28A=90%29ml