Question

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?

A) 25
B) 10
C) 50
D) 75

Answer 1

I pretty sure the answer is A) 25

Answer 2

A) 25

Explanation:

Let x be the number of tickets sold.

Carnival M charges $0.65 per ticket (0.65x) plus the entrance fee (5)

Carnival P charges $0.45 per ticket (0.45x) plus the entrance fee (10)

We are trying to make the price the same for both carnivals, so set them equal to each other:

0.65x + 5 = 0.45x + 10

Now solve =)

0.65x + 5 = 0.45x + 10

0.65x + 5 - 5 = 0.45x + 10 - 5

0.65x -0.45x = 0.45x - 0.45x + 5

0.2x/0.2 = 5/0.2

x = 25

I really hope this helps you =)