You would like to see how many baseball and basketball games you can attend this summer.

Question

Travel time for baseball games is 2 hours and basketball games is 1 hour. You would like to spend no more than 15 hours traveling to the games. In total, you would like to attend at least 8 games. Suppose you decide on attending 4 baseball games, what is the maximum number of basketball games you can attend?

Answer 1

Let x = number of baseball games and y = the number of basketball games.

2x + y ≤ 15 hours

x + y ≥ 8 games

If x = 4 then

y <= 7 and y >=4

So you can at most attend 7 basketball games.