# Carnival m charges an entrance fee of $5.00 and $0.65 per ticket for the rides. carnival p charges an

###### Question:

a. 25

b. 10

c. 50

d. 75

## Answers

The answer to your question is A

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).

⇒ [tex]y = 5 + 0.65x[/tex] -----------(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).

⇒ [tex]y = 10 + 0.45x[/tex] --------(2)

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

Comparing equations (1) and (2),

⇒ [tex]5+0.65x = 10 +0.45x[/tex]

⇒ [tex]0.2x = 5[/tex]

⇒ [tex]x = 5/0.2[/tex]

⇒ [tex]x = 25[/tex]

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

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 :

⇒ [tex]0.65(x)+5[/tex]

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

Equation of cost :

⇒ [tex]0.45(x)+10[/tex]

Now , Number of tickets for which cost is equal is:

⇒ [tex]5+0.65x=10+0.45x[/tex]

⇒ [tex]0.65x-0.45x=10-5[/tex]

⇒ [tex]0.2x=5[/tex]

⇒ [tex]x=\frac{5}{0.2}[/tex]

⇒ [tex]x=\frac{50}{2}[/tex]

⇒ [tex]x=25[/tex]

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

A) 25

Step-by-step 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 =)

I pretty sure the answer is A) 25

25

Step-by-step explanation: