At Shannons birthday Kira ate 3 pieces, Brazdley ate 2,Shauna ate 4, and Sammi ate 3 pieces of pizza. Now 1/4 of the pizza is left. How many pieces was the pizza originally cut into?

Solve for x

(3/4)x = 12
x = 12/(3/4)
x = 12 * (4/3)
x = 48/3
x = ?

number of pieces = n

3 + 2 + 4 +3 = (3/4)n

12 *(4/3) = n

n=16

To find out how many pieces the pizza was originally cut into, we can start by adding up the number of pieces each person ate.

Kira ate 3 pieces.
Brazdley ate 2 pieces.
Shauna ate 4 pieces.
Sammi ate 3 pieces.

Together, they ate 3 + 2 + 4 + 3 = 12 pieces of pizza.

We're also given that 1/4 of the pizza is left. This means that 3/4 (1 - 1/4) of the pizza was eaten.

Since 12 pieces represent 3/4 of the pizza, we can set up the following equation to find the total number of pieces:

(3/4) * x = 12

To solve for x (the total number of pieces), we can multiply both sides of the equation by (4/3) to cancel out the fraction:

x = 12 * (4/3)

x = 16

Therefore, the pizza was originally cut into 16 pieces.