Tickets to a concert cost $9.00 for adults and $6.50 for students. A total of 850 people paid $7676.00 to attend. How many students attended

Question

Tickets to a concert cost $9.00 for adults and $6.50 for students. A total of 850 people paid $7676.00 to attend. How many students attended the concert?

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Minh Khuê 6 months 2021-08-22T05:26:52+00:00 1 Answers 10 views 0

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    2021-08-22T05:28:39+00:00

    Answer:

    350 students

    Step-by-step explanation:

    Let:

     a = number of adults attending

     s = number of students attending

     a + s = 950   (1)  (given)

     9a + 6.5s = 7675   (2)   (cost per adult * number of adults + cost per student * number of students = total amount spent)

    Looking for s.   Multiply (1) by 9 then subtract eq (2), this will eliminate the variable a:

      (1)  9a  + 9s     = 8550

    –  (2)  9a  + 6.5s  = 7675  

    ——————————-

             0a  + 2.5s  = 875

                       s  = 875/2.5  = 350 students

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