Question 1197162
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Here is a non-algebraic way to solve any 2-part mixture problem like this; this method is quick and easy if the numbers are "nice".<br>
Think of it this way.  You are starting with a 15% alcohol solution, and you are adding 95% alcohol solution, stopping when the mixture is 20% alcohol.<br>
20% is 1/16 of the way from 15% to 95% (picture the three percentages on a number line, if it helps).<br>
That means 1/16 of the mixture needs to be the 95% alcohol solution that you are adding.<br>
1/16 of 1040 mL is 65mL, so you need 65 mL of the 95% alcohol solution and 1040-65 = 975 mL of the 15% alcohol solution.<br>
ANSWER: 65 mL of 95%; 975 mL of 15%.<br>
CHECK:
.95(65)+.15(975) = 208
.20(1040) = 208<br>