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

using unit rates to convert measurement

Answer 1

Answer: He should use 14 fluid ounces of soap.

Step-by-step explanation:

1. The first step is to make the conversion from cups to ounces. Knowing that:

$1\ cup = 8\ fluid\ ounce$

You get:

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

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 he should use.

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

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