How many adults and students attended the concert?

Question

Tickets to a concert cost $12.00 for adults and $7.50 for students. A total of 1135 people paid a total of $10380 to attend.

Answer 1

A = number of adults

S = number of students

 

A + S = 1135

12A + 7.5S = 10380

 

-7.5A - 7.5S = -8512.5

  12A +7.5S = 10380

 

Add the two equations

4.5A = 1857.5

A = 415

 

S = 1135 - A = 1135 - 415 = 720

 

 

415 Adults attended and 720 students attended