Question

A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% peroxide). If x liters of pure peroxide are added to 100 liters of its 10% solution, the concentration, C, of the new mixture is given by the formula below. How many liters of pure peroxide should be added to produce a new product that is 70% peroxide? C= (x + 0.1(100))/(x +100)

Answer 1

200 liters.

Explanation:

To solve this, let's first set C in our equation to .7, since that is the concentration we are aiming for.

.7=
`((x+0.1(100)))/(x+100)`

Next, we can simply this equation further:

.7=
`((x+10))/(x+100)`

We can multiply both sides by the denominator, resulting in:

.7x+70= x+10

Finally, continue simplifying to solve for x:

60= .3x

x= 200 liters.