Answer:
price of adults tickets is $13 and price of students tickets is $6
Explanation:
Let
a = price of adults tickets sold
s = price of students tickets sold
12 adult tickets and 7 student tickets for $198.
12a + 7s = 198
The school took in $172 on the second day by selling 10 adult
tickets and 7 student
10a + 7s = 172
12a + 7s = 198 (1)
10a + 7s = 172 (2)
Subtract (2) from (1) to eliminate s
12a - 10a = 198 - 172
2a = 26
Divide both sides by 2
a = 26 / 2
= 13
a = $13
Substitute a = 13 into (2)
10a + 7s = 172
10(13) + 7s = 172
130 + 7s = 172
7s = 172 - 130
7s = 42
Divide both sides by 7
s = 42 / 7
= 6
s = $6
Therefore, price of adults tickets is $13 and price of students tickets is $6