Question

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 IVE BEEN ASKING THIS QUESTION I REALLY NEED HELP IF ITS RIGHT ILL MARK BRAINLIEST

Answer 1

For both Carnivals to have the same cost, 10 tickets will have to be purchased.

Carnival M :

Entrance fee = $5.00

Cost per ticket = $0.50

Carnival P :

Entrance fee = $7.00

Cost per ticket = $0.30

Let the Number of ticket = n

Cost of n Carnival M tickets :

5 + 0.50n - - - (1)

Cost of n Carnival P tickets :

7 + 0.30n - - - (2)

Value of n in other to have the same price :

(1) = (2)

5 + 0.50n = 7 + 0.30n

Collect like terms

0.50n - 0.30n = 7 - 5

0.20n = 2

Divide both sides by 0.20

n = 2 / 0.20

n = 10

Therefore, 10 tickets has to be purchased for both Carnivals to have the same cost.

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