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?

Answer 1

350 students

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