775 tickets were sold for a game for a total of 1,187.50. If adults tickets sold for 2.50 and children's tickets sold for 1.00 how many of each kind of ticket were sold

Answer: 275 adult tickets and 500 children's tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of children's tickets that were sold.

775 tickets were sold for the game. It means that

x + y = 775

If adults tickets sold for 2.50 and children's tickets sold for 1.00 and all the tickets were sold for a total of 1,187.50, it means that

2.5x + y = 1187.5

Substituting x = 775 - y into equation 1, it becomes

2.5 (775 - y) + y = 1187.5

1937.5 - 2.5y + y = 1187.5

- 2.5y + y = 1187.5 - 1937.5

- 1.5y = - 750

y = - 750 / - 1.5

y = 500

x = 775 - y = 775 - 500

x = 275