One large

One large pizza is cut into 12 pieces. The pizza has sausage, mushrooms, and cheese on it. Michelle ate 1/6 of the pizza, Natalie ate 1/4 of the pizza, Bridgette ate 1/8 of the pizza, and Brenda ate 1/3 of the pizza. How much of the whole pizza is left, and what type of meat is on the pizza?

Correct answer:

x =  3/2 = 1 ¹⁄₂

Step-by-step explanation:

$$\begin{gathered} n=12 \\ M=\frac{1}{6}\cdot n=\frac{1}{6}\cdot 12=\frac{1\cdot 12}{6}=\frac{12}{6}=2 \\ N=\frac{1}{4}\cdot n=\frac{1}{4}\cdot 12=\frac{1\cdot 12}{4}=\frac{12}{4}=3 \\ {B}_1=\frac{1}{8}\cdot n=\frac{1}{8}\cdot 12=\frac{1\cdot 12}{8}=\frac{12}{8}=\frac{3}{2}=1\frac{1}{2}=1.5 \\ {B}_2=\frac{1}{3}\cdot n=\frac{1}{3}\cdot 12=\frac{1\cdot 12}{3}=\frac{12}{3}=4 \\ x=n-M-N-B_1-B_2=12-2-3-\frac{3}{2}-4=\frac{3}{2}=1\frac{1}{2}=1.5 \end{gathered}$$

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