Annie has a budget of $600 to purchase paperback books and hardcover books for her classroom. She wants the number of hardcover to be at least 5 more than three times the number of paperback books. Paperback books cost $4 each and hardcover books cost $15 each. a. Write a system of inequalities to model this situation. b. Graph the system. c. Can she buy 8 paperback books and 40 hardcover books?

A drugstore is selling two types of notebooks for $3 and $4. If a person wants to spend between $10 and $15 on notebooks, write the system of inequalities that represents this situation.

Nanh is really into magic tricks and decides to put on a show to buy more magic trick kits and accessories. She sells three types of tickets to the show. Adult tickets are $10, young adult tickets are $8, and child tickets are $4. Nanh sells a total of 21 tickets and brings in $140. The number of child tickets sold is twice the number of young adult tickets sold. Write a system of equations to represent this situation where x is the number of adult tickets sold, y is the number of young adult tickets sold, and z is the number of child tickets sold. How many of each type of ticket did Nanh sell?  With the $140 she made from the magic show, Nanh now needs to decide what magic tricks she wants to purchase. Small magic kits cost $3 each and larger kits cost $7 each. Nahn wants to buy at least 28 magic kits. Write a system of inequalities to model this situation letting x = the number of small magic kits and y = the number of large magic kits. Then graph the system of inequalities…

Eric and Leo are racing to see who can get his community service hours for scouting completed first. ​ ​Eric, who has already completed 10 hours, plans to volunteer for 1 hour per week going forward. ​Leo hasn't started yet, but plans to dedicate 2 hours per week to his volunteer project from now on. ​ ​Before too long, the boys will be tied, with the same number of volunteer hours. Graph the system of equations, and mark the point of intersection.