Set up a system of equations to solve each of the following problems.

(a) A tire store sold two types of tires, a sports tire and an all-season tire. The sum of six times the sports tire and five times the all-season tire is 93, and the difference between three-quarters of the sports tire and two-thirds of the all-season tires is

zero. For the store manager, find the number of each type of tire sold in one day (3 marks).

(b) The college theatre collected $1300 from the sale of 450 tickets. If the tickets were sold for $2.50 and $3.50, how many tickets were sold at each price? (3 marks)

(c) A jacket and two pairs of pants together cost $175. The jacket is valued at three times the price of one pair of pants. What is the value of the jacket? (3 marks)

(d) Three cases of white Bordeaux and five cases of red Bordeaux together cost $438. Each case of red Bordeaux costs $6 less than twice the cost of a case of white Bordeaux. Determine the cost of a case of each type.