The total cost of both carnivals is an illustration of equivalent equations.
Carnival M and P must sell 10 tickets each, to have the same total cost
Let the number of tickets be x.
For carnival M:
The equation is: [tex]M = 5 + 0.5x[/tex]
For carnival P
The equation is: [tex]P = 7 + 0.3x[/tex]
For both carnivals to have the same total cost, then:
[tex]M=P[/tex]
So, we have:
[tex]5 + 0.5x = 7 + 0.3x[/tex]
Collect like terms
[tex]0.5x - 0.3x = 7 - 5[/tex]
[tex]0.2x = 2[/tex]
Divide both sides by 0.2
[tex]x = 10[/tex]
Hence, both carnivals must sell 10 tickets for the total cost to be the same.
Read more about equivalent equations at:
https://brainly.com/question/10541844
