SOLUTION: Jacks Bowling alley charges $1.50 to rent shoes and $4.50 for each game bowled. Jill's bowling alley charges $2.50 to rent shoes and $4 for each game bowled. How many games must

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jacks Bowling alley charges $1.50 to rent shoes and $4.50 for each game bowled. Jill's bowling alley charges $2.50 to rent shoes and $4 for each game bowled. How many games must       Log On


   



Question 119256: Jacks Bowling alley charges $1.50 to rent shoes and $4.50 for each game bowled. Jill's bowling alley charges $2.50 to rent shoes and $4 for each game bowled. How many games must be bowled in order to make the cost of bowling at Jack's the same as the cost of bowling at Jill's?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = total cost of bowling
Let g = number of games bowled
For Jack, C%5B1%5D+=+1.5+%2B+4.5g
For Jill, C%5B2%5D+=+2.5+%2B+4g
Find the point where the total costs are equal
C%5B1%5D+=+C%5B2%5D
1.5+%2B+4.5g+=+2.5+%2B+4g
.5g+=+1
g+=+2
when each bowls 2 games the cost is the same for each
check answer
C%5B1%5D+=+1.5+%2B+4.5%2A2
C%5B1%5D+=+10.5
C%5B2%5D+=+2.5+%2B+4%2A2
C%5B2%5D+=+10.5
OK