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# help

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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.

Apr 7, 2020

#1
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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.

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