To make a hot chocolate recipe,
It requires
[tex]1\text{ cup of milk to 3 teaspoons of cocoa}[/tex]
Ratio of cup of milk to teaspoons of cocoa is
[tex]1\colon3[/tex]
Let k represent the number of cups of milk needed for 9 teaspoons of cocoa
To find k by crossmultiplying,
[tex]\begin{gathered} \text{If 1 cup of milk is to 3 tsp of cocoa} \\ k\text{ cups of milk is to 9 tsp of cocoa} \\ \text{Crossmultiply} \\ k\times3=1\times9 \\ 3k=9 \\ \text{Divide both sides by 3} \\ \frac{3k}{3}=\frac{9}{3} \\ k=3 \end{gathered}[/tex]
9 teaspoons of cocoa will require 3 cups of milk
Hence, the answer is 3 cups of milk.
6 cups of milk will require
[tex]=6\times3=18\text{ tsp of cocoa}[/tex]
Hence, the answer is 18 teaspoons of cocoa.
7 cups of milk will require
[tex]=7\times3=21\text{ tsp of cocoa}[/tex]
Hence, the answer is 21 teaspoons of cocoa
