Answer:
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.
