A recipe for a home-made disinfectant calls for adding one-half cup of clorox to one gallon of water. Mrs. Jenkins wants to make this solution in a 32-ounce spray bottle. How many fluid ounces of clorox should be added to 32 fluid ounces of water to have the same clorox-to-water ratio as the original recipe?
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To determine the amount of Clorox needed for the 32-ounce solution, we need to maintain the same Clorox-to-water ratio as the original recipe.
The original recipe calls for 1/2 cup of Clorox in 1 gallon of water.
To convert the measurements, we need to know that there are 16 cups in a gallon and 128 fluid ounces in a gallon.
First, we need to calculate the Clorox-to-water ratio in the original recipe.
1/2 cup of Clorox is equal to 8 fluid ounces (since 1 cup is equal to 8 fluid ounces).
So, the original recipe has 8 fluid ounces of Clorox in 128 fluid ounces of water.
To maintain the same ratio in a 32-ounce solution, we can set up a proportion.
Let's call the amount of Clorox in the 32-ounce solution as "x".
We can set up the following proportion:
8 fluid ounces of Clorox / 128 fluid ounces of water = x fluid ounces of Clorox / 32 fluid ounces of water
To find "x", we can cross multiply and solve for it.
8 fluid ounces of Clorox * 32 fluid ounces of water = 128 fluid ounces of water * x fluid ounces of Clorox
256 fluid ounces of Clorox = 128 fluid ounces of water * x fluid ounces of Clorox
Dividing both sides by 128 fluid ounces of water, we get:
256 fluid ounces of Clorox / 128 fluid ounces of water = x fluid ounces of Clorox
Simplifying the fraction, we find:
2 fluid ounces of Clorox = x fluid ounces of Clorox
Therefore, Mrs. Jenkins should add 2 fluid ounces of Clorox to the 32 fluid ounces of water to maintain the same Clorox-to-water ratio as the original recipe.