Let's set up 2 equations: one for the total number of people attending and one for the amount of money raised.
Adults = a Children = c
The number of people attending would be: a+c = 212
The amount of money raised would be: 6a +4c = 1,128
You can solve this problem by using the substitution method or the elimination method. Let's use the elimination method and get rid of variable a.
By multiplying the top equation by -6, we can cancel out variable a.
-6a-6c = -1,272
6a+4c = 1,128
Now add the two equations together.
-2c = -144 c= 72
Now substitute C back into one of your original equations.
a = 140
So there are 72 children and 140 adults attending.
To check your work, substitute both of your found values into the second equation.