Answer:
The price of one adult ticket = $13
The price of one student ticket = $4
Explanation:
Let the price of 1 adult ticket = x
Let the price of 1 student ticket = y
On the first day of ticket sales the school sold 12 adult tickets and 10 student tickets for a total of $196.
12 × x + 10 × y = $196
12x + 10y = 196....... Equation 1
The school took in $59 on the second day by selling 3 adult tickets and 5 student tickets
3 × x + 5 × y = $59
3x + 5y = 59.......... Equation 2
Using Elimination method
We eliminate y, by Multiplying equation 1 by 5 and Equation 2 by 10
12x + 10y = 196....... Equation 1 × 5
3x + 5y = 59.......... Equation 2 × 10
60x + 50y = 980....... Equation 3
30x + 50y = 590......... Equation 4
Subtract Equation 4 from Equation 3
30x = 390
x = 390/30
x = $13
Therefore, the price of one adult ticket = $13
Remember: x = $13
3x + 5y = 59.......... Equation 2
Substitute
3(13) + 5y = 59
39 + 5y = 59
5y = 59 - 39
5y = 20
y = 20/5
y = $4
Therefore, the price of one student ticket = $4