Question

Nom went bowling with $27 to spend. He rented shoes for $5.75 and paid $4.25 for each game. Create an inequality to find the greatest number of games Tom could play.

Answer 1

The inequality to represent the greatest number of games Nom could play is 4.25x ≤ 21.25, which shows that Nom can play up to 5 whole games with $27, after renting shoes for $5.75.

Step-by-step explanation:

To find the greatest number of games Nom could play with his $27, we must first account for the cost of shoe rental. After renting shoes for $5.75, the remaining amount Nom has to spend on games is $27 - $5.75 = $21.25. Each game costs $4.25, so we can represent the number of games he can play as x.

The inequality that represents this situation is 4.25x ≤ 21.25.

To find the greatest number of whole games he can play, we divide the remaining money by the cost per game: $21.25 ÷ $4.25 = 5. Therefore, the greatest number of games Nom can play, without spending more than $27, is 5 games.