How many liters of pure water must be added to how many liters of a 25% bleach solution to make 12 liters of a 15% bleach solution?

has to be in complete sentences

Respuesta :

Answer: 4.8 liters

Step-by-step explanation:

Let x liter of water is added with y liter of 25% beach solution.

Thus, According to the question,

x + y = 12  -------(1)

0% of x + 25 % of y = 15 % of 12

25 % of y = 15% of 12

[tex]25 y = 15\times 12[/tex]

[tex]y = \frac{180}{25}[/tex]

[tex]y = \frac{36}{5}[/tex]

Put this value in equation (1),

We get,

[tex]x + \frac{36}{5} = 12[/tex]

[tex]x = 12-\frac{36}{5}[/tex]

[tex]x =\frac{60-36}{5}[/tex]

[tex]x =\frac{24}{5}[/tex]

Therefore, the quantity of water =  [tex]x =\frac{24}{5}=4.8\text{ liter}[/tex]

And, the quantity of 25% bleach solution = [tex]y =\frac{36}{5}=7.2\text{ liter}[/tex]