Answer:
There are 3 adults and 4 children.
Step-by-step explanation:
Set up a systems of equation to find the number of adults and children.
x= adults
y= children
24.75x+16.00y= 138.25
8.25x+4.50y= 42.75
Solve with elimination, so by multiplying the second equation by -3, we can cancel out the x variable and solve for y.
24.75x+16.00y= 138.25
-24.75x-13.50=-128.25
Subtract both equations from each other.
250y=1000
Solve for y.
y= 4
Now that you have the value for y, you can substitute 4 for y in one of your equations to find x.
8.25x+4.50y= 42.75
8.25x+4.50(4)= 42.75
8.25x+18= 42.75
8.25x= 24.75
x=3
There are 3 adults and 4 children.
