SOLUTION: A hair dye is made by blending a 8% hydrogen peroxide solution and a 3% hydrogen peroxide solution. How many milliliters of each are used to make a 500-milliliter solution that is
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Question 1167703: A hair dye is made by blending a 8% hydrogen peroxide solution and a 3% hydrogen peroxide solution. How many milliliters of each are used to make a 500-milliliter solution that is 7% hydrogen peroxide? Answer by greenestamps(13200) (Show Source):
A typical setup for a solution using formal algebra....
x ml of 8%, plus (500-x) ml of 3%, yields 500 ml of 7%:
Solve using basic algebra; I leave that to you.
Here is a quick way to find the answer informally.
(1) 7% is 1/5 of the way from 8% to 3%. (Picture the three percentages on a number line. From 8 to 3 is a change of 5; from 8 to 7 is a change of 1; 7 is 1/5 of the way from 8 to 3.)
(2) That means 1/5 of the mixture is the 3%.
ANSWER: 1/5 of 500 ml, or 100ml, of the 3% solution; the other 400 ml of the 8% solution.
