At Rock-n-Bowl, shoe rental costs $2, and each game bowled is $3.50. At Strikz, each game bowled costs $3, and shoe rental is $4.50. If the same amount of money is spent at both locations, how many games, n, are bowled? Show your work to justify your answer.

Guest Apr 7, 2020

#1**+1 **

Rock-n-Bowl: Let R represent the number of games bowled; then the cost will be 2.00 + 3.50R

Strikz: Let S represent the number of games bowled; then the cost will be 4.50 + 3.00S

If the same amount of money is spent: 2.00 + 3.50R = 4.50 + 3.00S

Rearranging: 3.50R - 3.00S = 2.50

At 50 cents more per game bowled (3.50 - 3.00), there would have to be 5 games bowled to make the 2.50 difference.

geno3141 Apr 7, 2020

#1**+1 **

Best Answer

Rock-n-Bowl: Let R represent the number of games bowled; then the cost will be 2.00 + 3.50R

Strikz: Let S represent the number of games bowled; then the cost will be 4.50 + 3.00S

If the same amount of money is spent: 2.00 + 3.50R = 4.50 + 3.00S

Rearranging: 3.50R - 3.00S = 2.50

At 50 cents more per game bowled (3.50 - 3.00), there would have to be 5 games bowled to make the 2.50 difference.

geno3141 Apr 7, 2020