Question

Of the 660 students eating lunch, 420 purchased their lunch and the rest brought a bag lunch. Find the ratio in simplest form of the number of students purchasing lunch to total number of students eating lunch.

Answer 1

7:11.

Step-by-step explanation:

Number of students eating lunch = 660

Number of students purchasing lunch = 420

The ratio of the number of students purchasing lunch to the total number of students eating lunch will be:

`420\colon660`

We reduce it to its simplest form.

`\begin{gathered} (420)/(10)\colon(660)/(10) \\ 42\colon66 \\ (42)/(6)\colon(66)/(6) \\ 7\colon11 \end{gathered}`

The ratio in simplest form is 7:11.