Answer: $10
Step-by-step explanation:
Let adults tickets be denoted by a
Let student tickets be denoted by s
On the first day of tickets sale, there were 10 adult tickets and 11 students tickets sold for a total of $190. This will be:
10a + 11s = 190
The second day, there were a total of $160 worth of tickets, 5 adult tickets and 12 student tickets. This will be:
5a + 12s = 160
We combine both equations
10a + 11s = 190 .......... equation i
5a + 12s = 160 ........... equation ii
Multiply equation i by 5
Multiply equation ii by 10
50a + 55s = 950 ....... equation iii
50a + 120s= 1600 ........ equation iv
Subtract equation iv from iii
50a + 55s = 950
- 50a + 120s= 1600
-65s = -650
65s= 650
Divide both side by 65
s = 10
The price for the student's ticket is $10.
