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?

Respuesta :

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  

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         0a  + 2.5s  = 875

                   s  = 875/2.5  = 350 students

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