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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