Verified Answer :
Each friend will have \(\frac{1}{6}\) because \(\frac{1}{2} ÷ 3 = [tex] \frac{1}{6}\)
Sybil and her 3 friends will receive ¹/₈ pizza
Further explanation
Order of Operations in Mathematics follow this following rule :
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem !
Let :
Initial Amount of Pizza = X
Sybil has 1/2 pizza left over → \(\texttt{Sybil's Pizza} = \frac{1}{2}X\)
She wants to share the pizza with her 3 friends.
We will divide the remaining pizza into 4 parts.
\(\texttt{The portion of pizza each received} = \texttt{Sybil's Pizza} \div 4\)
\(\texttt{The portion of pizza each received} = \frac{1}{2}X \div 4\)
\(\texttt{The portion of pizza each received} = \frac{1}{2}X \times \frac{1}{4}\)
\(\texttt{The portion of pizza each received} = \frac{1}{8}X\)
Conclusion:
Sybil and her 3 friends will receive ¹/₈ pizza
Learn more
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Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent