Carnival M charges an entrance fee of $5.00 and $0.50 per ticket for rides. Carnival P charges and entrance fee of $7.00 and $0.30 per ticket for rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same? PLEASE I WILL MARK BRAINLIEST IF ITS RIGHT

Respuesta :

The number of tickets that should be purchased for the cost of both carnival to be equal is 10 tickets.

Assume the number of tickets to be purchased is x.

The expression for the total cost at Carnival M is:

= Entrance fee + (price of tickets x number of tickets)

= 5 + 0.50x

The expression for the total cost at Carnival P is:

= 7 + 0.30x

To find the number of tickers, equate both expressions:

5 + 0.50x = 7 + 0.30x

0.50x - 0.30x = 7 - 5

0.20x = 2

x = 2 / 0.20

= 10 tickets

10 tickets will need to be bought to both Carnivals for the cost to be the same.

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