Question

A company wants to increase the 30 % peroxide content of its product by adding pure peroxide​ (100% peroxide). If x liters of pure peroxide are added to 600 liters of its 30 % ​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 40 % ​peroxide? CequalsStartFraction x plus 0.3 (600 )Over x plus 600 EndFraction

Answer 1

Answer:

  100 liters

Step-by-step explanation:

Fill in the desired concentration and solve for x.

  $0.40=\dfrac{x+0.3\cdot 600}{x+600}\\\\0.4(x+600)=x+0.3(600)\\\\(0.4-0.3)(600)=(1-0.4)x\\\\x=\dfrac{0.1(600)}{0.6}=100$

100 liters of pure peroxide should be added to produce the desired product.