# Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. What is the ratio of students purchasing lunch to students bringing a bag lunch?

May 18, 2018

$2 \text{ ":" } 3$

#### Explanation:

The number of students who bring a bag lunch = $240 - 96 = 144$

A ratio is a comparison between the two quantities.

$\text{ students who purchase ":" students who bring}$

$\textcolor{w h i t e}{\times \times \times \times \times \times \times} 96 \text{ ":" "144" } \leftarrow$ find simplest form

$\textcolor{w h i t e}{\times \times \times \times \times \times \times x} 8 \text{ ":" "12" } \leftarrow \div 12$

$\textcolor{w h i t e}{\times \times \times \times \times \times \times x} 2 \text{ ":" "3" } \leftarrow \div 4$

If you had recognised that the $H C F$ was $48$ you could get the the simplest form immediately. If not, divide by any common factors.