# Thread: Algebraic equation for word problem?

1. ## Algebraic equation for word problem?

The school play was attended by 550 people and the revenue from ticket sales was 4980$. If each adult paid$12 and each student paid $8, find hwo many adults and students attended the play. Answer is 145 adults and 405 kids btw. :} Thanks in advance. 2. Originally Posted by juliak The school play was attended by 550 people and the revenue from ticket sales was 4980$. If each adult paid $12 and each student paid$8, find hwo many adults and students attended the play.

Hello

Do you know how to solve linear systems of equations?

If we let a = adult, and s = student, we see that the total number of adults and students that attended the school play was 550. This implies that $\displaystyle a+s=550$.

The adult paid $12 and the student paid$8. The total amount made in ticket sales was $4980. This means that$\displaystyle 12a+8s=4980$So we have the system of equations :$\displaystyle \left\{\begin{array}{rcrcr}a&+&s&=&550\\12a&+&8s&= &4980\end{array}\right.\$

Can you take it from here?

--Chris

3. Yes! Thank you very much!