DQ7:A restaurant manager purchased 100 sets of dishes. One design cost $30.00 per set, and another design cost $40.00 per set. If the manager spent $3200 on the dishes, how many of each sets of each design did she purchase? a. Write a system of equations to represent the number of each set that the manager purchased. b. Graph both equations on the TI calculator and find the intersection point. Report the equations you put in for Y1 and Y2 and your Window settings c. Solve the system using the substitution method. Does this answer match the answer you got on your graphing calculator? d. Solve the system using the addition method. Compare your answer to parts b and c. e. Which method do you prefer for this