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?
1 gallon = 128 ounces
1 cup = 8 ounces
Set up a proportion:
4/128 = x/32
128x = 128
x = 1 ounce
Thankyou
To find the clorox-to-water ratio in the original recipe, we know that it calls for one-half cup of clorox to one gallon of water. We need to convert these measurements to fluid ounces since the spray bottle is in fluid ounces.
1 cup is equal to 8 fluid ounces.
1 gallon is equal to 128 fluid ounces.
So, one-half cup of clorox is equal to 4 fluid ounces (8/2), and one gallon of water is equal to 128 fluid ounces.
Therefore, the clorox-to-water ratio in the original recipe is 4 fluid ounces of clorox to 128 fluid ounces of water.
To determine the amount of clorox needed for a 32 fluid ounce spray bottle while maintaining the same ratio, we set up the following proportion:
4 fluid ounces of clorox / 128 fluid ounces of water = x fluid ounces of clorox / 32 fluid ounces of water
Cross-multiplying, we get:
128 fluid ounces of water * x fluid ounces of clorox = 32 fluid ounces of water * 4 fluid ounces of clorox
Simplifying, we get:
128x = 128
Dividing both sides by 128, we find:
x = 1
Therefore, to maintain the same clorox-to-water ratio, Mrs. Jenkins should add 1 fluid ounce of clorox to 32 fluid ounces of water in the spray bottle.