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?

Verified 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)