Question

Rosa went to play miniature golf on Monday, when it cost $3 to rent the club and ball, plus $6

per game. Toby went Thursday, paying $5 per game, plus rental fees of $7. 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?​

Answer 1

Answer:they each played five games and spent 33 dollars.

Step-by-step explanation:

Answer 2

• $27
• 4 games

Explanation:

The $4 additional rental charge is made up at the rate of $1 per game difference in game fees. So charges will be equal when 4 games are played.

The charge for 4 games is 3+4·6 = 27 = 7+4·5.

Each spent $27 for 4 games.

__

If you like, you can write equations for the costs.

Rosa's cost for g games is ...

R = 3 +6g

Toby's cost is ...

T = 7 +5g

These costs are the same when ...

R = T

3 +6g = 7 +5g . . . . equate the costs

g = 4 . . . . . . . . . . . . subtract 3+5g*

Costs will be the same for 4 games.

____

* You may notice that this is 1·g = 4; the difference in cost per game, multiplied by the number of games, is equal to the difference in rental fees.