Final answer:
After setting up and solving a system of linear equations based on the given information, the price of an adult ticket is found to be $15, while the price of a child ticket is $4.
Step-by-step explanation:
To determine the price of adult and child tickets sold by Shreya's school, we need to set up a system of linear equations based on the information provided:
Let A be the price of an adult ticket, and C be the price of a child ticket.
From the first day of sales: 2A + 8C = $62
From the second day of sales: 5A + 1C = $79
Solving this system of equations, we multiply the second equation by 8 to eliminate C:
- 2A + 8C = $62
- 40A + 8C = $632
Subtracting the first equation from the modified second equation:
- 40A - 2A = $632 - $62
- 38A = $570
- A = $15
Substituting A into the first equation:
- 2($15) + 8C = $62
- 30 + 8C = $62
- 8C = $32
- C = $4
The final answer in 2 lines: Adult ticket price is $15; Child ticket price is $4.