An amusement park charges $17 for each adult ticket and $6 for each child ticket. One day, the park earned $3,640 in ticket sales. Let x represent the number of adult tickets sold. Let y represent the number of child tickets sold. If 400 tickets were sold on this day, which system of equations can be used to find the number of each type of ticket sold?
+23245 Let x = number of adult tickets sold ---> 17x = value of those tickets.
Let y = number of child tickets sold ---> 6y = value of those tickets.
Value equation: 17x + 6y = 3640
Number of tickets equation: x + y = 400
Putting these two equations together:
17x + 6y = 3640 ---> 17x + 6y = 3640
x + y = 400 ---> multiply by -6 ---> -6x - 6y = -2400
Adding down: 11x = 1240
x = 112.7272...
This can't be!
If I didn't make a mistake, the problem is imposssible.
