Anew blockbuster movie opens tonight, and several groups are trying to buy tickets. three types of tickets are sold:
adult, senior (over 65), and youth (under 10). a group of 3 adults, 2 youths, and 1 senior pays $54.50 for their
tickets. another group of 6 adults and 12 youths pays $151.50. a final group of 1 adult, 4 youths, and 1 senior
pays $49.00. what is the price for each type of ticket?
a. represent the situation described with a system of equations. define all variables.
b. represent the system as a linear transformation using the matrix equation a= b.
c. explain how you can determine if the matrix equation has a solution without solving it.
d. solve the matrix equation for x.
e. discuss the solution in context.
f. how much would it cost your family to attend the movie