so, Deanna starts with 15 bucks in her pocket, and if she plays 1 game, she then has 15 - 0.75(1), if she plays two games, 15 - 0.75(2), if she plays 3, 15 - 0.75(3), if she plays say "g" amount of games, since each game costs 75 cents, then she would have after "g" games, 15 - 0.75(g) or 15 - 0.75g.
Now, Lise has 13 bucks and her game is 50 cents or $0.50, after say 3 games again she has 13 - 0.5(3) and so on, so after "g" games, she would have 13 - 0.5(g) or 13 - 0.5g.
When with both gals have the same amount?
[tex]\bf \stackrel{Deanna}{15-0.75g}=\stackrel{Lise}{13-0.5g}\implies 15-13=0.75g-0.5g\implies 2=0.25g
\\\\\\
\cfrac{2}{0.25}=g[/tex]
and surely you know how much that is, since both quantities equal each other, then after that many games, both girls will have the same amount in their pocket.
