SOLUTION: one thousand tickets were sold for a baseball game. There were one hundred more adult tickets than student tickets, and there were four times as many tickets sold to students as to

Algebra ->  Systems-of-equations -> SOLUTION: one thousand tickets were sold for a baseball game. There were one hundred more adult tickets than student tickets, and there were four times as many tickets sold to students as to      Log On


   



Question 375442: one thousand tickets were sold for a baseball game. There were one hundred more adult tickets than student tickets, and there were four times as many tickets sold to students as to children. How many of each type of ticket were sold?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi, already Posted
Let x represent the number of student tickets
****Adult tickets (x+100) and tickets for children (x/4)
1000 = x + (x+100) + x/4
4000 = 4x + 4(x+100) + x
4000 = 4x + 4x + 400 + x
4000 = 9x + 400
3600 = 9x
400 = x, the number of student tickets, 500 adult and 100 children tickets
CHECKING our Answer
400 + 500 + 100 = 1000 tickets