Answer:
4 cups of lemon juice is required for 12 cups of water to make lemonade.
Step-by-step explanation:
Given:
To make lemonade 1 cup of lemon juice is required with 3 cups of water.
To find how many cups of lemon juice is required with 12 cups of water.
Solution:
We will construct a double number line of which one represents the cups of lemon juice and the other represents the cups of water.
From the number lines we can see that with 1 cup of lemon juice there are 3 cups of water.
So, ratio of cups of lemon juice to cups of water = 1 : 3
If we require [tex]x[/tex] cups of lemon juice with 12 cups of water then ratio = x : 12
Since ratio will always be equivalent, so we can write it as:
[tex]\frac{x}{12}=\frac{1}{3}[/tex]
Multiplying both sides by 12.
[tex]12.\frac{x}{12}=12\times\frac{1}{3}[/tex]
∴ [tex]x=4[/tex]
Thus, 4 cups of lemon juice is required for 12 cups of water to make lemonade.
