Question

Jaidee's school is selling tickets to a spring musical. On the first day of ticket sales the school

sold 6 adult tickets and 7 student tickets for a total of $94. The school took in $176 on the
second day by selling 9 adult tickets and 14 student tickets. Find the price of an adult ticket and
the price of a student ticket.

Answer 1

$4 for an adult ticket

$10 for a student ticket

Explanation:

price of adult ticket=a, price of student ticket=s

6a+7s=94

9a+14s=176

this is a system of equations

lets multiply the first equation by -2

(6a+7s=94)(-2)

=-12a-14s=-188

now put this and the second equation together

-12a-14s=-188

9a+14s=176

=-3a=-12

a=4

$4 for an adult ticket

put 4 in for a in one of the equations

6(4)+7s=94

24+7s=94

7s=70

s=10

$10 for a student ticket