Mathematics, 29.03.2020 22:08 AnActualTrashcan

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

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Answer from: barstr9146

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

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

Equation of cost :

⇒ 0.45(x)+10

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

⇒ 5+0.65x=10+0.45x

⇒ 0.65x-0.45x=10-5

⇒ 0.2x=5

⇒ $x=\frac{5}{0.2}$

⇒ $x=\frac{50}{2}$

⇒ x=25

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

Answer from: andrea021098

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.

Answer from: Quest

Not enough information

Answer from: Quest

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