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Math Help - Algebraic equation for word problem?

  1. #1
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    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.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by juliak View Post
    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.
    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 a+s=550.

    The adult paid $12 and the student paid $8. The total amount made in ticket sales was $4980. This means that 12a+8s=4980

    So we have the system of equations : \left\{\begin{array}{rcrcr}a&+&s&=&550\\12a&+&8s&=  &4980\end{array}\right.

    Can you take it from here?

    --Chris
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  3. #3
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    Yes! Thank you very much!
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