Answer :
Final answer:
To find the number of games that must be played in order for the total cost of both arcades to be the same, we can set up and solve an equation. The number of games that must be played is 10.
Explanation:
To find the number of games that must be played in order for the total cost of both arcades to be the same, we need to set up an equation. Let's assume the number of games played is x.
For Adam's Arcade, the cost is $7.50 + $0.45x.
For Jim's Jamming Arcade, the cost is $1.25x.
Setting these two equations equal to each other and solving for x, we get:
$7.50 + $0.45x = $1.25x
Subtracting $0.45x from both sides:
$7.50 = $0.8x
Dividing both sides by $0.8:
x = $7.50 / $0.8
x = 9.375
Since you can't play a fraction of a game, the number of games that must be played is 10.
