Marcus ate half of a pizza on Monday night. He then ate one third of the remaining pizza on Tuesday. Which of the following expressions show how much pizza Marcus ate in total? Select two that apply. A. 1-1/2 B. 1/2 * 1/3 C. 1/2+1/2+1/3 D. 1/2+1/3 E. 1/2+1/2 *(1/3) F. 1-1/3

Respuesta :

Option E

The expression show how much pizza Marcus ate in total is:

[tex]Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}[/tex]

Solution:

Given that,

Marcus ate half of a pizza on Monday night

He then ate one third of the remaining pizza on Tuesday

Therefore,

[tex]Monday\ night = \frac{1}{2}\\[/tex]

Remaining is given as:

[tex]Remaining = 1 - \frac{1}{2} = \frac{1}{2}[/tex]

He then ate one third of the remaining pizza on Tuesday

Therefore,

[tex]Tuesday = \frac{1}{3} \times \frac{1}{2}[/tex]

Thus expressions show how much pizza Marcus ate in total is:

Total = monday night + tuesday

[tex]Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}[/tex]

Thus Option E is correct

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