Answer:
15 early tickets were sold and 5 regular tickets were sold.
Step-by-step explanation:
Let x be the number of early bird tickets sold and y be the number of regular tickets sold.
Total number of tickets sold = 20
Thus, we can write the equation,
[tex]x + y = 20[/tex]
Cost of early bird ticket = $10
Cost of regular tickets = $15
Total cost = $225
Thus, we can write the equation,
[tex]225 = 10x + 15y[/tex]
We solve the equation by elimination method by multiplying first equation by 10 and subtracting.
[tex]10x + 15y-(10x+10y) = 225 - 200\\5y = 25\\\Rightarrow y=5\\x + 5 = 20\\\Rightarrow x = 15[/tex]
Thus, 15 early tickets were sold and 5 regular tickets were sold.
