Question

A factory produces 3 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water? create an equation to show the relationship between the number of bottles of sparkling water and the number of bottles of plain water.

Answer 1

Let be "x" the number of bottles of sparkling water that the company produces when it produces 600 bottles of plain water.

a. You know that the factory produces 3 bottles of sparkling water for every 8 bottles of plain water.

Therefore, knowing that it produces 600 bottles of plain water, you can write the following proportion:

`(3)/(8)=(s)/(600)`

Solve for "s" :

`\begin{gathered} ((3)/(8))(600)=x \\ \\ (1800)/(8)=x \\ \\ x=225 \end{gathered}`

b. Knowing that the ratio is:

`3\colon8`

You can set up the following equation:

`\begin{gathered} 3s=8p \\ \\ s=(8)/(3)p \end{gathered}`

Where "s" is the number of bottles of sparkling and "p" is the number of bottles of plain water. ​

Therefore, the answers are:

a. 225 bottles of sparkling water.

b.

`s=(8)/(3)p`