Solution: We are given:
To make 6 cups of lemonade, Ronald needs q cup of lemon juice.
Now Ronald has to make 24 cups of lemonade.
Let x be the number of cups of lemon juice needed to make 24 cups of lemonade.
Using the proportionality principle, we have:
[tex]\frac{6}{q} =\frac{24}{x}[/tex]
[tex]x=\frac{24 q}{6}[/tex]
[tex]x=4q[/tex]
Therefore, to make 24 cups of lemonade, he needs [tex]4q[/tex] amount of lemon juice.