Let x represent the number of liters of the 10% hydrogen peroxide solution used.
Therefore, 0.10x represents the amount of hydrogen peroxide in the 10% solution.
The chemist mixed this with (30 - x) liters of the 25% hydrogen peroxide solution, thus the amount of hydrogen peroxide in the 25% solution is 0.25(30 - x).
The total amount of hydrogen peroxide in the final solution is 0.15(30) = 4.5 liters.
Therefore, the equation to represent the mixing of the two solutions is:
0.10x + 0.25(30 - x) = 4.5
Solve for x:
0.10x + 7.5 - 0.25x = 4.5
-0.15x = -3
x = 20
Therefore, the chemist used 20 liters of the 10% hydrogen peroxide solution to make a 15% hydrogen peroxide solution.
A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen peroxide solution. How many liters of the 10% solution did the chemist use to make the 15% solution?
______ liters
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3 answers