A4% peroxide solution is mixed with a 10% peroxide solution, resulting in 100 l of an 8% solution. the table shows the amount of each solution used in the mixture.

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.

19

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!