Carnival M charges an entrance fee of $7.00 and $0.85 per tocket for the rides. Carnival P charges an entrance fee of $12.00 and $0.35 per ticket for the rides. How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same?

10 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same

Step-by-step explanation:

Let the number of tickets be represented by t

Carnival M charges an entrance fee of $7.00 and $0.85 per tkcket for the rides.

$7.00 + $0.85 × t

= 7.00 + 0.85t

Carnival P charges an entrance fee of $12.00 and $0.35 per ticket for the rides.

= $12.00 + $0.35 × t

= 12.00 + 0.35t

How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same?

Carnival M = Carnival P

7.00 + 0.85t = 12.00 + 0.35t

Collect like terms

= 0.85t - 0.35t = 12.00 - 7.00

= 0.50t = 5

t = 5/0.5

t = 10 tickets.

Therefore, 10 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same.