Answer:
[tex]C=12.75n+12.00\\[/tex]
[tex]C= 15.75 n[/tex]
Step-by-step explanation:
When buying tickets to a play online, they cost $12.75 per ticket plus a $12.00 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of going to the play, for n people can by represented by a system of equations.
. Write a system of equations that could be used to find how many tickets you have to buy for the cost to be the same.
Let n be the number of people and C be the total cost
Play online
[tex]C=12.75n+12.00\\[/tex]
For Box office
[tex]C= 15.75 n[/tex]
These are the system of equations
To find the cost to be same , make both equations equal to each other and solve for n
The number of tickets bought which will make the online order and box office order equal is 4 tickets
Cost of online order:
C = 12.75n + 12
Cost of box office order:
C = 15.75n
12.75n + 12 = 15.75n
12 = 15.75n - 12.75n
12 = 3n
n = 12/3
n = 4
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