Step-by-step explanation:To find out how many slices make up half of the pizza, let's first determine the total number of slices in the pizza. We know that after eating 2/3 of the pizza, there are 12 slices left.
Let's assume the total number of slices in the pizza is "x."
According to the given information, 2/3 of the pizza is eaten, leaving 12 slices. This can be represented as:
(2/3) * x = 12
To find x, we can solve this equation.
To isolate x, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:
x = 12 * (3/2)
Simplifying the right side of the equation gives us:
x = 36/2
x = 18
Therefore, the total number of slices in the pizza is 18.
Now, we can find half of the pizza by dividing the total number of slices by 2:
Half of the pizza = 18 / 2 = 9 slices.
So, half of the pizza consists of 9 slices.
Remember, this calculation assumes that all slices are equal in size.