At Paul's bowling alley, it costs 4.00 to rents shoes and 3.50 to bowl each game. At Maggie's bowling alley, it costs 3 to rent shoes and 3.75 to bowl each game. How many games must be bowled in order for the costs to be the same?

Question

Cesar Hicks

Mathematics

4 February, 07:25

At Paul's bowling alley, it costs 4.00 to rents shoes and 3.50 to bowl each game. At Maggie's bowling alley, it costs 3 to rent shoes and 3.75 to bowl each game. How many games must be bowled in order for the costs to be the same?

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Answers (1)

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Gustavo Day · Answer 1

Answer: it will take 4 games for both costs to be the same.

Step-by-step explanation:

Let x represent the number of games that must be bowled before the costs become the same.

At Paul's bowling alley, it costs 4.00 to rents shoes and 3.50 to bowl each game. This means that the cost of bowling x games at Paul's bowling alley would be

3.5x + 4

At Maggie's bowling alley, it costs 3 to rent shoes and 3.75 to bowl each game. This means that the cost of bowling x games at Maggie's bowling alley would be

3.75x + 3

Therefore, for the costs to be the same, the number of games would be

3.5x + 4 = 3.75x + 3

3.75x - 3.5x = 4 - 3

0.25x = 1

x = 1/0.25 = 4