The sophomore class is planning a picnic. The cost of a permit to use a city park is $250. To pay for the permit, there is a fee of $0.75 for each sophomore and $1.25 for each guest who is not a sophomore. Two hundred sophomores plan to attend. How many guests must attend for the sophomores to pay for the permit?

A locomotive has a total pulling capacity that cannot exceed 5,000 tons. The locomotive weighs 200 tons. It is pulling 80 railcars that weigh 30 tons, each. How much weight can each railcar carry?

Andrea is in charge of setting up a banquet hall. She has five tables that will seat six people each. If no more than 62 people will attend, how many tables seating four people will she need?

A personal trainer charges a one-time fee of $60 plus $25 for each individual session. A fitness club charges a yearly fee of $450 plus $10 for each session with a personal trainer. At what point does it become cheaper to join the gym as opposed to working with only a personal trainer?

Remember there are two sides to every inequality.

The student council is sponsoring a concert as a fund raiser. Tickets are $3 for students and $5 for adults. The student council wants to raise at least $1,000. If 200 students attend, how many adults must attend?