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Answer :
Final answer:
Kabir will need to play 10 games at each arcade to spend the same amount of money. This is determined by setting up an equation based on the costs at each arcade and solving for the number of games.
Explanation:
To find out how many games Kabir will have to play at each arcade to spend the same amount of money, let's set up an equation.
Let x represent the number of games played.
At the first arcade, Kabir pays a $5 entrance fee plus $0.75 per game, so the total cost is 5 + 0.75x.
At the second arcade, he pays no entrance fee but $1.25 per game, so the total cost is 1.25x.
To find the number of games where Kabir spends the same amount at both arcades, we set the two expressions equal to each other:
5 + 0.75x = 1.25x
To solve for x, we can subtract 0.75x from both sides:
5 = 1.25x - 0.75x
5 = 0.50x
Now, divide both sides by 0.50 to find x:
x = 10
Kabir will have to play 10 games at each arcade to spend the same amount of money.
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