To solve this problem, you'll need to create a system of equations and then solve for the variables. For my two equations, x = # of children and y = # of adults
We know from the problem that the total amount of people who attended the fair is 2200, so that tells us that the number of children (x) plus the number of adults (y) will give us 2200. So, that's our first equation.
x + y = 2200
We also know that the total amount of money collected was $5050. This tells us that the number of children's tickets sold (1.50 * x) plus the number of adult's tickets sold (4 * y) will give us $5050. So, that's our second equation.
1.50x + 4y = 5050
Now, you take both equations and solve for the variables.
x + y = 2200
1.50x + 4y = 5050
x + y = 2200
x = -y + 2200
1.50(-y + 2200) + 4y = 5050
-1.50y + 3300 +4y = 5050
3300 + 2.5y = 5050
2.5y = 1750
y = 700
Now that you know that y =700, you plug that information into either of the two equations and solve for x. I'm going to use the first equation because it's easier.
x + y = 2200
x + 700 = 2200
x = 1500
So, x = 1500 and y = 700
