Ryan has to use 12 cups of water with 6 scoops of fruit mix
<u>Solution:</u>
Given that, Ryan is making a fruit drink.
The directions say to mix 3 cups of water with
scoops of powdered fruit mix.
We have to find how many cups of water should he use with 6 scoops of fruit mix
Let "n" be the number of cups required for 6 scoops of fruit mix
3 cups of water ⇒
scoops of fruit mix.
Then, n cups of water ⇒ 6 scoops of fruit mix
So, by criss cross multiplication,
![6 \times 3=n \times 1 \frac{1}{2}](https://tex.z-dn.net/?f=6%20%5Ctimes%203%3Dn%20%5Ctimes%201%20%5Cfrac%7B1%7D%7B2%7D)
Converting the mixed fraction, we get,
![\begin{array}{l}{\rightarrow 18=n \times \frac{3}{2}} \\\\ {\rightarrow n=\frac{2}{3} \times 18} \\\\ {\rightarrow n=2 \times 6} \\\\ {\rightarrow n=12}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Crightarrow%2018%3Dn%20%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20n%3D%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%2018%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20n%3D2%20%5Ctimes%206%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20n%3D12%7D%5Cend%7Barray%7D)
Hence, Ryan has to use 12 cups of water