children's tickets to a movie cost $4.00.Adults tickets cost $7.00. If 275 tickets were sold for a total of $1574.00 , how many of each type of ticket were sold?



Answer :

1. 4X + 7Y = 1574
2. X+Y = 275
3. X = 275 -Y

4. 4*(275-Y) + 7Y = 1574
5. 1100 - 4Y + 7Y = 1574
6. 3Y = 1574 - 1100
7. 3Y = 474
8. Y= 158 (Adult ticket)
9. X = 275 - 158
10. X = 117 (Children ticket)