Ryan is making a fruit drink. The directions say to mix 3 cups of water with 1 1/2 scoops of powdered fruit mix. How many cups of water should he use with 6 scoops of fruit mix?

Respuesta :

Ryan has to use 12 cups of water with 6 scoops of fruit mix

Solution:

Given that, Ryan is making a fruit drink.

The directions say to mix 3 cups of water with [tex]1\frac{1}{2}[/tex] 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 ⇒ [tex]1\frac{1}{2}[/tex] scoops of fruit mix.

Then, n cups of water ⇒ 6 scoops of fruit mix

So, by criss cross multiplication,

[tex]6 \times 3=n \times 1 \frac{1}{2}[/tex]

Converting the mixed fraction, we get,

[tex]\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}[/tex]

Hence, Ryan has to use 12 cups of water