Question

tickets to a school musical are $5.00 for adults and $3.50 for students. if the total value of tickets was $2517.50 and 100 more students brought tickets than adults, how many adults and students bought tickets

Answer 1

255 number of adults and 355 number of students bought ticket.

Explanation:

Let the number of adults bought tickets are x and the number of students that bought tickets is (x + 100).

Since it is given that 100 more students brought tickets than adults.

Now, each adult ticket costs $5 and each student's ticket costs $3.5 and the total collected value of tickets is $2517.5.

So, 5x + 3.5(x + 100) = 2517.5

⇒ 8.5x + 350 = 2517.5

⇒ 8.5x = 2167.5

⇒ x = 255

So, 255 number of adults and (255 + 100) = 355 number of students bought ticket. (Answer)