Joanne’s family decides to rent a hall for her retirement party. Pin Hall charges $500 for the hall and$15 per meal. Bloom Place charges $350 for the hall and$18 per meal. a) Write two equations to represent the information. b) Solve the linear system to find the number of guests for which the charges are the same at both halls.

Jeff and Stephen go to the mall. The two boys buy a total of 15 T-shirts. Stephen gets three less than twice as many T-shirts as Jeff. a) Write an equation to represent the information in the second sentence. b) Write an equation to represent the information in the third sentence. c) Solve the linear system by substitution to find the number of T-shirts each boy bought. d) If the T-shirts cost $8.99 each, how much did each boy spend before taxes?

James looks in his TV cabinet and finds some old Beta and VHS tapes. He has 17 tapes in all. He finds that he has three more Beta tapes than VHS tapes. How many of each type does he have?

Samantha works twice as many hours per week as Adriana. Together they work a total of 39 h one week. a) State how you will assign variables. b) Write an equation to represent the information in the first sentence. c) Write an equation to represent the information in the second sentence. d) Use the method of substitution to find the number of hours worked by each person.

Milk and cream contain different percents of butterfat. How much 3% milk needs to be mixed with how much 15% cream to give 20 L of 6% cream?

With a tailwind, a plane flew the 3000 km from Calgary to Montreal in 5 h. The return flight, against the wind, took 6 h. Find the wind speed and the speed of the plane.