Problem A

Graduation Ceremony

At Emily Carr Elementary School, the Grade \(8\) students are graduating and are having a ceremony. Tickets are given to the graduates and the school staff for free. Parents and other students need to buy tickets.

Staff set up \(6\) rows of \(24\) chairs in the gym. The diagram below shows the arrangement.

We know that

\(\frac{1}{3}\) of the chairs are filled with adults (parents/relatives) who bought tickets for \(\$4\) each,

\(\frac{1}{4}\) of the chairs are filled with other students who bought tickets for \(\$2\) each,

\(\frac{1}{6}\) of the chairs are filled with staff of the school, and

the remaining chairs are filled with the graduates.

How many graduates are at the ceremony?

How much money was collected from ticket sales?

**Theme: **Number Sense