For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the questions. Be sure to define your variables and show all of your work.

**Q1.** A school trip to a museum cost $2,056. A total of 125 chaperones and students went on the trip. Adult admission to the museum costs $23, and student admission costs $16. How many chaperones and students went to the museum?

**Q2.** A shoe company charges $100 per month, plus $75 per pair of shoes, to supply a retail store with shoes. It costs the shoe company $30 per pair of shoes for supplies, plus $1,225 per month in bills to operate the factory. How many shoes does the company need to sell to a store per month to break even?

**Q3.** At a concession stand, three hot dogs and two drinks cost $13.50. Four hot dogs and three drinks cost $19. How much does a drink cost?

**Q4.** One type of trail mix is 20% walnuts. Another type is 35% walnuts. How much of each type should be combined to form a 12-pound mix that is 30% walnuts?

**Q5.** The potter at a pottery store makes two sizes of vases. The larger size takes six hours to make, and the smaller size takes 1.5 hours to make. The potter works 30 hours a week. She needs to make at least six total vases a week, including at least two of each size. Give one example of how many of each type of vase the potter can make.