Respuesta :
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 .
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.
