Question

Carnival M charges an entrance fee of and per ticket for the rides. Carnival P charges an entrance fee of and 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?

Answer 1

25 tickets

Explanation:

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 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?

Let

x = number of tickets

Carnival M = 5 + 0.65x

Carnival P = 10 + 0.45x

Equate both cost

5 + 0.65x = 10 + 0.45x

5 - 10 = 0.45x - 0.65x

-5 = - 0.20x

x = -5 / -0.20

x = 25 tickets

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