Math (alegbra 1)

Question

Matt's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 6

adult tickets and 3 student tickets for a total of $123. The school took in $174 on the second day

by selling 3 adult tickets and 9 student tickets. Find the price of an adult ticket and the price of a

student ticket.

Answer 1

Let x be price of adult ticket

and y be price of student ticket

6x + 3y = 123

3x + 9y = 174

Solving this by system of equations:

Multiply the second equation by 2, you'll get

6x + 18y = 348

Subtract the first equation by second equation:

(6x - 6x) + (18y - 3y) = (348 - 123)

15y = 225

y = 15

Substitute y = 15 into any equations:

6x + 3(15) = 123

6x = 123 - 45 = 78

x = 78/6 = 13