A group of friends wants to go to the amusement park. They have no more than $115 to spend on parking and admission. Parking is $15, and tickets cost $25 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people that can go to the amusement park
The inequality that can be used to determine x, the number of people that can go to the amusement park, is:
25x + 15 ≤ 115
To solve this inequality, we can subtract 15 from both sides:
25x ≤ 100
Then, we divide both sides by 25:
x ≤ 4
Therefore, the number of people that can go to the amusement park is no more than 4.
To write an inequality to determine the number of people that can go to the amusement park, we need to consider the total amount of money available for parking and admission.
Let's assume the number of people is denoted by x.
The cost of parking is a fixed amount of $15.
The cost of tickets per person, including tax, is $25.
The total amount of money available is $115.
Therefore, the inequality can be written as:
25x + 15 ≤ 115
To solve the inequality, we can simplify it by subtracting 15 from both sides:
25x ≤ 100
And then divide both sides by 25 to isolate x:
x ≤ 4
Therefore, the number of people that can go to the amusement park is less than or equal to 4.