Okay so if B is the midpoint of AC, that basically means that it's the halfway point. If B is exactly halfway between A and C, that means that the distance between A and B, and the distance between B and C is the same. In other words: AB=BC
Knowing that AB=BC, we can sub the values given by the question:
AB = BC
9x+2 = 5x+34
9x-5x = 34-2
4x = 32
x = 8
Now that we know the value of x, we can find AC, since AC=AB+BC
Everyone would get 2 1/4 cupcakes because if you split up each cupcake by 4, (In four different pieces) everyone would get 9/4 slices. Change to a mixed number to get 2 1/4
