SOLUTION: A hair dye is made by blending a 9% hydrogen peroxide solution and a 3% hydrogen peroxide solution. How many milliliters of each are used to make a 300-milliliter solution that is

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Question 1146448: A hair dye is made by blending a 9% hydrogen peroxide solution and a 3% hydrogen peroxide solution.
How many milliliters of each are used to make a 300-milliliter solution that is 7% hydrogen peroxide?

Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A hair dye is made by blending a 9% hydrogen peroxide solution and a 3% hydrogen peroxide solution.
How many milliliters of each are used to make a 300-milliliter solution that is 7% hydrogen peroxide?
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n = amount of 9%
t = amount of 3%
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n + t = 300 ----- total solution
9n + 3t = 300*7 ---- total dye
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2 eqns in 2 variables.
Can you solve for n & t?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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blending a H% active ingredient solution and a L% active ingredient solution.
How many milliliters of each are used to make a M milliliter solution that is T% active ingredient?
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v of H%
M-v of L%

Hv%2BL%28M-v%29=TM
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Hv%2BLM-Lv=TM
Hv-Lv%2BLM=TM
Hv-Lv=TM-LM
v%28H-L%29=M%28T-L%29
highlight%28v=M%28%28T-L%29%2F%28H-L%29%29%29
Substitute your given values,....