Question

Leo plans to go to the arcade with his friend. His parents gave him $20 to spend. He wants to buy a soda and bag of hot Cheetos which will be $4.25. If each game cost $0.75, how many games can he play? A. Write an inequality to solve this situation. B. Solve the inequality to answer games Leo can play C. Explain how you solved the inequality.

Answer 1

A. Let x be the number of games Leo can play. The inequality to solve is:
0.75x + 4.25 ≤ 20

B. To solve the inequality:
0.75x ≤ 20 - 4.25
0.75x ≤ 15.75
x ≤ 21

Leo can play a maximum of 21 games.

C. The inequality represents the maximum amount of money Leo can spend on games and snacks, which is $20. The left side of the inequality represents the total amount of money spent on games and snacks, and it must be less than or equal to $20. We solve for x, which represents the number of games Leo can play within the $20 budget. The solution is x ≤ 21, meaning Leo can play a maximum of 21 games.