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

Question

3 years ago

8

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 to ride. How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same

Mathematics

2 answers:

kow [346] · Answer 1 · 2022-09-25T13:22:54+03:00

25 tickets must be purchased for the total cost at carnival M and carnival P to be the same.

Step-by-step explanation:

It is given that,

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

Let us take, the total cost as 'y' and the no.of tickets as 'x'

The total cost at carnival M = Entrance fee + (cost per ticket × no.of tickets).

⇒ $y = 5 + 0.65x$ -----------(1)

Carnival P charges an entrance fee of $10.00 and $0.45 per ticket to ride.

The total cost at carnival P = Entrance fee + (cost per ticket × no.of tickets).

⇒ $y = 10 + 0.45x$ --------(2)

The total cost at carnival M and carnival P to be the same :

Comparing equations (1) and (2),

⇒ $5+0.65x = 10 +0.45x$

⇒ $0.2x = 5$

⇒ $x = 5/0.2$

⇒ $x = 25$

Therefore, 25 tickets must be purchased in order for the total cost at carnival M and carnival P to be the same.

Mariana [72] · Answer 2 · 2022-09-25T11:37:15+03:00

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

Step-by-step explanation:

Here we have , 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 to ride. We need to find How many tickets must be purchased in order for the total cost at carnival M and carnival P to be the same .Let's find out:

Let , Number of tickets for both carnival be x So ,

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides

Equation of cost :

⇒ $0.65(x)+5$