Question

Write a system of equations and then solve by the method of any chose. Reserved seat tickets for the football game cost 4.00 each and general admission cost 3.00 each. After, the game is over the turnstile count shows 1787 people attended the game. The total recipients were $5792. Find the number of each kind of ticket.

Answer 1

General tickets were 1,356 and reserved tickets were 431

Explanation:

Let general tickets be g and reserved r

r + g = 1787

4r + 3g = 5792

Use first equation to solve for r

r = 1787-g

Substitute r in the second equation by (1787-g);

4(1787-g) +3g = 5792

7148 - 4g +3g = 5792

Group the numbers on one side and the unknown variables on the other side and solve for g;

7148 - 5792 = 4g-3g

1356 = g

With g= 1356, find r using any of the first two equations;

r+1356 = 1787

r = 1787 - 1356

r = 431

Therefore, general tickets were 1,356 and reserved tickets were 431