For each of the following, define variables, write a system, and solve the system
algebraically:
a) An organization is holding a banquet in honor of its member of the year. Tables and
chairs must be rented in order to seat all the guests. A large table seats 12 and costs
$50. A small table seats 8 and costs $25. How many of each type of table must be
rented to seat 100 guests for $350?
b) The jazz band and choir are attending a concert. The jazz band bought 16 student tickets and 3
adult tickets for $110.50. The choir bought 12 student tickets and 4 adult tickets for $96. Find the
cost of each type of ticket