The Porter County Fair charges $6.00 admission and $0.75 per ticket to play games. The Shasta County Fair charges $8.00 admission and $0.50 per ticket to play games.
Write and solve an equation to find the number of tickets that must be purchased in order for the total cost at Porter County Fair and Shasta County Fair to be the same.
Select the correct answer.
Let x represent the number of tickets purchased.
For Porter County Fair, the total cost is given by the equation: 6 + 0.75x
For Shasta County Fair, the total cost is given by the equation: 8 + 0.50x
To find the number of tickets that must be purchased for the total cost to be the same at both fairs, we set the two equations equal to each other and solve for x:
6 + 0.75x = 8 + 0.50x
0.25x = 2
x = 8
Therefore, 8 tickets must be purchased for the total cost to be the same at both fairs.