The first thing you should do is name the variables of the system of equations.
We have then:
H = half gallons of ice cream
P = packages of ice cream cones
The system of equations that adapts to the problem is:
H + P = 14
3.50H + 2.50P = 43
answer:
The system of equations to find out how many of each item Alicia purchased look like
H + P = 14
3.50H + 2.50P = 43