Question 429233
The bowling alley on Wedge Street charges $5.00 for shoe rental plus $1.50 per game.The bowling alley on Lawrence Street charges $3.00 for shoe rental plus $2.00 per game. If one person rents a pair of shoes to bowl, how many games should they bowl to make the bowling alley on Wedge Street cheaper than the bowling alley on Lawrence Street.
Let g be the number of bowling games:
Wedge Street: C = 1.50g + 5.00
Lawrence Street: C = 2.00g + 3.00

If Wedge street is cheaper than Lawrence street then
1.5g + 5 < 2g + 3
1.5g - 2g < 3 - 5
-0.5g < -2
g > (-2)/(-0.5)
g > 4

Thus that person must play more than 4 bowling games, so the Wedge Street is cheaper than Lawrence.

There you go!