SOLUTION: Maria needs to mix a 10% alcohol solution with a 50% solution to create a 100 millimeters of a 34% solution how many millileters of each solution must Maria use
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Question 1168042: Maria needs to mix a 10% alcohol solution with a 50% solution to create a 100 millimeters of a 34% solution how many millileters of each solution must Maria use Found 2 solutions by josgarithmetic, greenestamps:Answer by josgarithmetic(39630) (Show Source):
(1) The link provided by the other tutor does not seem to me like a particularly good one.
(2) There are hundreds of problems like this on this forum, as well as lessons on how to solve mixture problems algebraically.
(3) And here is a very quick and easy non-algebraic way to solve any two-part mixture problem like this....
Picture the three percentages on a number line: 10, 34, and 50.
In going from 10 towards 50 and stopping at 34, what fraction of the distance do you go? 10 to 50 is a difference of 40; 10 to 34 is a difference of 24; 34 is 24/40 = 3/5 of the way from 10 to 50.
You went 3/5 of the way from 10 to 50; that means 3/5 of the mixture is the 50% solution.
ANSWER: 3/5 of 100ml, or 60ml, of the 50% solution, and the other 40ml of the 10% solution.
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