Question

To make lemonade, use 1 cup of lemon juice for every 3 cups of water. If you use 12 cups of water, how many cups of lemon juice will you need? Use a double number lineto solve.

Answer 1

4 cups of lemon juice is required for 12 cups of water to make lemonade.

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
`x` 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:

`(x)/(12)=(1)/(3)`

Multiplying both sides by 12.

`12.(x)/(12)=12*(1)/(3)`

∴
`x=4`

Thus, 4 cups of lemon juice is required for 12 cups of water to make lemonade.