Question

Kevin uses 84 fluid ounces of water to make an all purpose cleaner the directions call for 4 fluid ounces of concentrated soap for every 3 cups of water how many fluid ounces of soap should he use? ( 1 cup=8 fl oz)​

Answer 1

Answer: He should use 14 fluid ounces of soap.

Explanation:

1. You need to make the conversion from cups to ounces.

You know that:

`1\ cup = 8\ fluid\ ounce`

Then:

`(3\ cups)((8\ fluid\ ounce)/(1\ cup))=24\ fluid\ ounce`

2. According to the information given in the exercise, Kevin must use 4 fluid ounces of concentrated soap for every 3 cups of water or 24 fluid ounces of water.

Then, knowing that he uses 84 fluid ounces of water to make an all-purpose cleaner, you can set up the following proportion:

`(4)/(24)=(x)/(84)`

Where "x" is the total fluid ounces of soap that Kevin should use.

3. Solving for "x", you get this result:

`(84)((4)/(24))=x\\\\x=14`