Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

the drama club sold 1500 tickets for the end of the year performance. Admission prices were 12 for adults and $6 for students. The total amount collected at the box office was 15480. How many students attended the play?

Sagot :

a386
Set up two equations: one for the amount of money collected, and one for the number of tickets sold (people who attended).

Let a= adults
Let s= students

Money equation:
[tex]15480=12a+6s[/tex]

Ticket equation:
[tex]1500=a+s[/tex]

Now just solve the system of equations for s:
[tex]15480-12a=6s\\ \frac{15480}{6} - \frac{12a}{6} =s\\ 2580-2a=s\\ 1500=a+s\\ 1500=a+(2580-2a)\\ 1500=-a+2580\\ 1500-2580=-a\\ -1080=-a\\ 1080=a\\ \\ 1500=a+s\\ 1500=1080+s 420=s[/tex]

420 Students attended
bookwormrds
These are the equations you need - a+k=total, 12a+6k=15480
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.