Alex belongs to the fan club for his local baseball team

Question

Alex belongs to the fan club for his local baseball team. he pays a $20 membership fee each year and then is able to buy reduced tickets for $8 each. Dave does not belong to the fan club and pays the full price of $12 for each ticket. Alex and Dave go to the games together. After how many games will they both have paid the same total amount of money?

Answer 1

After 5 games.

Alex pays: $20 + $8 + $8 + $8 + $8 + $8=$60

Dave pays: $12 +$12 +$12 +$12 +$12=$60

or set up an equation

Let x be the number of games

20+8x = 12x

-8x -8x

20 = 4x (divide by 4 on both sides)

x = 5 games