The amount she would spend would be equal to the sum of the entry charges and the cost of playing the games.
Let the number of games she can play be represented by x.
Cost of each game = 5 dollars
Thus, the cost of the total number of games she can play = 5×x = 5x
Entry cost for the arena = 10 dollars
Thus, total amount = Entry cost + Cost of games she can play
Substituting the values, we can frame the equation as:
50=10+5x
⇒50–105=x
⇒405=8=x
Hence, she can play 8 games.