Answer
The system of equations that then represents this scenario is
7x + 4y = 60
2x + y = 15
On solving this, we obtain
x = 0, y = 15
Cost of a pack of hotdogs = $0
Cost of a pack of cupcakes = $15
Step-by-step explanation
Let the cost of a pack of hotdogs be x
Let the cost of a tray of cupcakes be y
7 packs of hotdogs and 4 trays of cupcakes cost $60.
7x + 4y = 60
2 trays of cupcakes and 1 more pack of hotdogs cost $15.
2x + y = 15
The system of equations that then represents this scenario is
7x + 4y = 60
2x + y = 15
We can then go ahead to solve this
(7x + 4y = 60) × 1
(2x + y = 15) × 4
7x + 4y = 60
8x + 4y = 60
Subtract equation 2 from equation 1
8x - 7x + 4y - 4y = 60 - 60
x = 0
We can then solve for y
2x + y = 15
2(0) + y = 15
0 + y = 15
y = 15
Hope this Helps!!!