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.

Step-by-step explanation:

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

You know that:

$1\ cup = 8\ fluid\ ounce$

Then:

$(3\ cups)(\frac{8\ fluid\ ounce}{1\ cup})=24\ fluid\ ounce$

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:

$\frac{4}{24}=\frac{x}{84}$

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

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

$(84)(\frac{4}{24})=x\\\\x=14$