35. A football stadium has 100,000 seats. In a game with full capacity people wi

Question

35. A football stadium has 100,000 seats. In a game with full capacity people with the following ticket and associated cost attended the game: Student Alumni Faculty Public Veterans Guests Cost $25 $40 $60 $70 $32 S0 Determine the number of people that attended the game in each cost category if the total revenue was S4,897,000, there were 11,000 more alumni than faculty, the number of public plus alumni together was 10 times the number of veterans, the number of faculty plus alumni together was the same as the number of students, and the number of faculty plus students together was four times larger than the number of guests and veterans together

Explanation / Answer

clc;clear;

% a = Students, b =Alumini, c = faculty, d = public, e = veterans, f = guest
syms a b c d e f
eqn1 = 25*a + 40*b + 60*c + 70*d + 32*e + 0*f == 4897000;
eqn2 = -c + b == 11000;
eqn3 = b + d - 10*e == 0;
eqn4 = b + c - a == 0;
eqn5 = c + a - 4*f - 4*e == 0;
eqn6 = a + b + c + d + e + f == 100000;
[A,B] = equationsToMatrix([eqn1, eqn2, eqn3, eqn4, eqn5, eqn6 ], [a, b, c, d, e, f]);
X = linsolve(A,B)

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Command Line:

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X =

25000
18000
7000
42000
6000
2000

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a = 25000
b = 18000
c = 7000
d = 42000
e = 6000
f = 2000

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