SOLUTION: 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 p

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
Answer by John10(297) (Show Source): You can put this solution on YOUR website!
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!
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