Question

To raise money, a club held a dinner theater show on Friday, Saturday, andSunday. The system of equations shows how much money they raised eachnight based on the number of each type of ticket sold, where a represents theprice of an adult ticket, y represents the price of a youth ticket, and srepresents the price of a senior ticket.How much did each type of ticket cost? Use matrices and a graphing calculator to find the solution.

Answer 1

Okay, here we have this:

Considering the provided system of equations, we are going to solve it, so we obtain the following:

Then we are going to put the given matrix into its row-reduced echelon form, so we have:

From equation 3 of system (1) we find the variable s:

s=15

From equation 2 of system (1) we find the variable y:

y=10

From equation 1 of system (1) we find the variable a:

a=20

Finally we obtain that the correct answer is the option B.