A group of friends wants to go to the amusement park. They have no more than $605 to spend on parking and admission. Parking is $17.25, and tickets cost $37.25 per person, including tax. Which inequality can be used to determine
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p, the maximum number of people who can go to the amusement park?
Let p be the maximum number of people who can go to the amusement park.
The cost of parking is $17.25.
The cost of tickets per person is $37.25.
The total cost of parking and tickets for p people is 17.25 + 37.25p.
The group has no more than $605 to spend, so the inequality is:
17.25 + 37.25p ≤ 605.
A shipping container will be used to transport several 90-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 13700 kilograms have already been loaded into the container. Which inequality can be used to determine
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c, the greatest number of 90-kilogram crates that can be loaded onto the shipping container?
Let c be the greatest number of 90-kilogram crates that can be loaded onto the shipping container.
The weight of each crate is 90 kilograms.
The total weight of the crates is 90c.
The weight of the other shipments is 13700 kilograms.
The maximum weight that can be loaded into the container is 23000 kilograms.
The inequality to determine c is:
90c + 13700 ≤ 23000.
To determine the maximum number of people who can go to the amusement park, we need to find the number of people that can be accommodated within the budget.
Let's denote the number of people as "p". The cost of parking is $17.25 and the cost of tickets, including tax, is $37.25 per person.
To calculate the total cost for p people, we multiply the cost per person by the number of people:
Total cost = (Cost per person x Number of people) + Parking cost
Total cost = ($37.25 x p) + $17.25
Since the total cost should not exceed $605, we can write the inequality as:
($37.25 x p) + $17.25 ≤ $605
Simplifying the inequality:
37.25p + 17.25 ≤ 605
This is the inequality that can be used to determine the maximum number of people, p, who can go to the amusement park.