Richard went to play miniature golf on Monday when it cost $7 to rent the club and ball, plus $6 per game. Joey went Thursday, paying $3 per game, plus rental fees of $16. By coincidence, they played the same number of games for the same total cost. How much did each one spend? How many games did each one play?
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Richard
Monday $7 to rent the club and ball, plus $6 per game.
7 + 6* G = Total cost (I)
Joey
Thursday, paying $3 per game, plus rental fees of $16.
16 + 3* G = Total cost (II)
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Solving the system of equations
(I) = (II)
7 + 6* G = 16 + 3* G
6G - 3G = 16 -7
3 G = 9
G = 3
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Can you see the updates?
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Total cost (3 games)
Richard
7 + 6* 3 = 25
Joey
16 + 3* 3 = 25
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Answer
Each one played 3 games and spent $25.