Our middle school is having a fall carnival. Admission into the carnival is $3 and each game inside the carnival costs $.25. Write an inequality that represents the possible number of games that can be played having $10. What is the maximum number of games that can be played?
Let's represent the number of games that can be played as a variable, say "g".
The total cost of admission and games is given by the equation:
$3 + $0.25g = $10
Simplifying the equation, we get:
$0.25g = $10 - $3
$0.25g = $7
Now let's solve for "g":
g = $7 / $0.25 = 28
Therefore, the maximum number of games that can be played is 28.
can you write an inequality for that
Certainly! We can write an inequality to represent the possible number of games that can be played. Let's use the variable "g" to represent the number of games.
The cost of admission and games must be less than or equal to $10.
So, the inequality is:
$3 + $0.25g ≤ $10.
This translates to:
0.25g ≤ $7.
Thus, the inequality representing the possible number of games is:
0.25g ≤ 7.
To find the maximum number of games that can be played, we need to find the largest whole number that satisfies this inequality. In this case, the maximum number of games that can be played is 28, as we rounded down from 28.1 to account for the restriction that the number of games must be a whole number.