Pizza 4

Marcus ate half a pizza on Monday night. He then ate one-third of the remaining pizza on Tuesday. Which of the following expressions shows how much pizza Marcus ate in total?

Correct answer:

x =  2/3

Step-by-step explanation:

$$\begin{gathered} a=\frac{1}{2}=0.5 \\ b=\frac{1}{3}\cdot (1-a)=\frac{1}{3}\cdot (1-\frac{1}{2})=\frac{1}{6}\doteq 0.1667 \\ x=a+b=\frac{1}{2}+\frac{1}{6}=\frac{3}{6}+\frac{1}{6}=\frac{3+1}{6}=\frac{4}{6}=\frac{2}{3}=0.6667 \end{gathered}$$

Try another example