Question

The carnival charges an admission of 5$ plus 3$ per game. If Cathy can spend no more then 40$, write and solve an inequality to represent the number of games, g, she can play

Answer 1

The number of games Cathy can play is less than or equal to 11 2/3. Since she can't play a fraction of a game, the maximum number of games she can play is 11. Please check the explanation below to help you remember the steps.

Explanation:

The cost of the carnival for Cathy can be represented by the equation 5 + 3 g where g is the number of games she plays.

Since Cathy can spend no more than 40$, we can write the inequality as:

5 + 3g ≤ 40

To solve for g, we can subtract 5 from both sides:

3g ≤ 35

Then, divide both sides by 3:

g ≤ 35 / 3

So, The number of games Cathy can play is less than or equal to 11 2/3. Since she can't play a fraction of a game, the maximum number of games she can play is 11.