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 500 liters of its 10% solution,the concentration, C, of the new mixture is given by

C = x+0.1(500) / x+500. x 100

How many liters of pure peroxide should be added to produce a new product that is 36% peroxide?

Answer 1

The number of liters of pure peroxide that should be added to produce a new product that is 36% peroxide is:203 liters.

Number of liters

Given:

C = x+0.1(500) / x+500. x 100

Concentration, c=36% or.36

Let x represent the number of liters

Hence:

x+0.1(500) / x+500=.36

x+50=.36(x+500)

Simplify

x+50=.36x+180

.64x=130

Divide both side by .64x

x=130/.64

x=203 liters

Therefore the number of liters of pure peroxide that should be added to produce a new product that is 36% peroxide is:203 liters.

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