A 4% peroxide solution is mixed with a 10% peroxide solution, resulting in 100 L of an 8% solution. The table shows the amount o
2 answers:
Answer:
33 1/3 L of the 4% solution and 66 2/3 L of the 10% solution.
Step-by-step explanation:
Let x represent the amount of 4% solution and y represent the amount of 10% solution. Together they make 100 L of solution; this gives us the equation
x + y = 100
x liters of the 4% solution gives us the expression 0.04x.
y liters of the 10% solution gives us the expression 0.10y.
100L of the 8% solution gives us 0.08(100) = 8.
Together this gives us the equation
0.04x+0.10y = 8
This gives us the system of equations
To solve this, we will use elimination. We must make the coefficients of one variable the same; we will make the x coefficients the same by multiplying the first equation by 0.04:
Now we eliminate x by subtracting the second equation from the first one:
Divide both sides by -0.06:
-0.06y/-0.06 = -4/-0.06
y = 66 2/3
Substitute this into the first equation:
x + 66 2/3 = 100
Subtract 66 2/3 from each side:
x + 66 2/3 - 66 2/3 = 100 - 66 2/3
x = 33 1/3
There are 33 1/3 liters of the 4% solution and 66 2/3 liters of the 10% solution.
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