You purchased concentrated cleaner that must be diluted (watered down) before use. Container A is the cleaner, which is a 30% solution. Container B is pure water. You are mixing together the contents of Container A and Container B to produce 60 gallons of 8% solution. How many gallons from each container are needed to create the 60 gallons of 8% cleaning solution? Write your answers as integers only.



Container A: 30% Cleaning Solution =
gallons

Container B: Pure Water =
gallons

Respuesta :

Answer:

Container A: 30% Cleaning Solution = 4.8 gallons

Container B: Pure Water = 55.2 gallons

Step-by-step explanation:

since 8% of 60 gallons is 4.8 that means their is 55.2 gallons of pure water

We need to mix two components (a cleaner that is 30% solution and pure water) such that we end with 60 gallons of 8% solution, and we want to know the volume of each of these two components that we need to use.

The solution is:

Container A: 30% Cleaning Solution = 16 gallons

Container B: Pure Water = 44 gallons

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Now let's see how to solve this:

Let's start by defining variables:

  • x = volume of water used.
  • y = volume of cleaner used.

We know that we want to get 60 gallons, so we have that:

x + y = 60 gal.

And we want this to be an 8%, then we must have that the amount of solution on the left side is equal to the amount of solution on the right side.

  • on the left side the amount of solution is just 0.3*y
  • on the right side the amount of solution must be (60 gal)*0.08

(note that the percentages are used in decimal form).

Then we have:

0.3*y = (60 gal)*0.08

With this equation we can find the value of y:

y =  (60 gal)*0.08/0.3 = 16 gal.

Now that we know the value of y, we can replace it in the equation:

x + y = 60 gal

to get the value of x:

x + 16gal = 60 gal

x = 60 gal - 16 gal = 44 gal.

So finally, we can conclude that you need to use 44 gallons of water and 16 gallons of cleaner.

If you want to learn more, you can read:

https://brainly.com/question/24395090