How to create matrix and solve for answers?

Hi friends, I was trying to solve the problem below using matrix (system of linear equations) but I couldn't get to the final answers. I have also attached a MATLAB file showing how far I got in trying to solve the problem.

Can any body please help? Thank you so much for your help.

Problem:

Using MATLAB, represent the following using matrix form and solve it.

A local theatre sold out for their show. They sold all 500 tickets for 8, 070.00. The tickets were priced at 15 for students, 12 for children, and 18 for adults. If the band sold three times as many adult tickets as children’s tickets, how many of each type was sold?

Answer 1

[Alan Stevens]

% Your equations are:
% A + S + C = 500;
% 18*A + 15*S + 12*C = 8070;
% A = 3*C;
% where A = nbr of adults, B = nbr students, C = nbr children
%
% Set these in the form 
% M*ASC = V where
% M = [1  1   1
%      18 15  12
%      1  0  -3 ]
% V = [500
%      8070
%      0   ]
% and
% ASC = [A
%        B
%        C]
%
% Using Matlab's backslash operator you can then solve for ASC
%
% ASC = M\V
% 
% Then extract values for A, S and C
% A = ASC(1); B = ASC(2); C = ASC(3);

[Danny Maefengea]

Thank you so much Alan, I really appreciate your work in helping me.

I tried to run the script but it didn't work. I don't know what's wrong with it.

[Alan Stevens]

The script above consists of comment lines!

For M write

M = [1 1 1; 18 15 12; 1 0 -];

for V

V = [500; 8070; 0];

Remove the comment symbol (%) from the ASC = M\V line

ASC = M\V;

Remove the comment symbol from the last line.

[Danny Maefengea]

Thank you once again Sir. Best wishes and stay safe.