A total of 900 tickets were sold for a game for a total of $1,150. if adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?

575 adult tickets and 325 child tickets were sold.

adult tickets = a

child tickets = c

a + c = 900

2a + c = 1150

Subtract c from the equation on top to get a = 900 - c

Substitute this value into the second equation 2 (900 - c) = 1150

Simplify to make 1800 - 2c = 1150

Add 2c to both sides

1800 = 1150 + 2c

Subtract 1150 from each side

2c = 650

Divide by 2 so that c = 325. Therefore, 325 child tickets were sold.

To find the number of adult tickets, subtract 325 from 900

The remaining number (a = 900 - 325 = 575) is how many adult tickets were sold. 575 adult tickets were sold.