Question

The cost of going to an amusement park is $10 for parking and $15 per person. If a group has $85 to spend, write an inequality to represent the maximum number of people that can go to the amusement park. What is the maximum number of people that can go to the park? PLEASE HELP 100 POINTS

Answer 1

Inequality: 10 + 15x ≤ 85

Maximum number of people = 5.

Explanation:

Let x be the number of people that can go to the amusement park.

If the cost of going to an amusement park is $10 for parking and $15 per person, and the group has maximum of $85 to spend:

⇒ 10 + 15x ≤ 85

Solve the inequality by subtracting 10 from both sides:

⇒ 10 + 15x - 10 ≤ 85 - 10

⇒ 15x ≤ 75

Divide both sides by 15:

⇒ 15x ÷ 15 ≤ 75 ÷ 15

⇒ x ≤ 5

Therefore, the maximum number of people that can go to the park is 5.