Question

Jeremiah is going to the local arcade. He is planning to go bowling and play some arcade games. He has $32 in his wallet to spend. A game of bowling costs $11, the shoe rental is $3.75, and the arcade games cost $.75 each. Write and solve an inequality to find the number or arcade games Jeremiah can play.

Answer 1

You have the following information:

- Jeremiah has $32

- A game of bowling costs $11

- The shoe rental costs $3.75

- Each arcade game costs $.75

In order to determine an inequality that allows one to obtain the amount of arcade games Jeremiah can buy, you consider x as the number of arcade games, and also you consider that the sum of the costs of the game of bowling plus the rent of the shoes plus x arcade games must be equal or lower that the total money Jeremiah has. This situation can be expressed algebraically as follow:

11 + 3.75 + 0.75x ≤ 32

Next, you solve for x, just as follow:

11 + 3.75 + 0.75x ≤ 32

14.75 + 0.75x ≤ 32

0.75x ≤ 32 - 14.75

0.75x ≤ 17.25

x ≤ 17.25/0.75

x ≤ 69

Hence, Jeremiah can buy a maximum amount of 69 arcade games.