Verified Answer :
Mrs johnson made 16 oatmeal cookies
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!
Given:
Mrs Johnson baked 2 dozen cookies.
\(\texttt{Total Number of Cookies} = 2 \times 12 = \boxed {24 ~ \texttt{cookies}}\)
Two thirds of the cookies were oatmeal.
\(\texttt{Number of Oatmeal Cookies} = \frac{2}{3} \times \texttt{Total Number of Cookies}\)
\(\texttt{Number of Oatmeal Cookies} = \frac{2}{3} \times 24\)
\(\texttt{Number of Oatmeal Cookies} = \frac{2 \times 24}{3}\)
\(\texttt{Number of Oatmeal Cookies} = \frac{48}{3}\)
\(\texttt{Number of Oatmeal Cookies} = \boxed {16 ~ \texttt{cookies}}\)
Proof:
\(\frac{\texttt{Number of Oatmeal Cookies}}{\texttt{Total Number of Cookies}} = \frac{16}{24} = \frac{16 \div 8}{24 \div 8} = \frac {2}{3}\)
Conclusion :
Mrs johnson made 16 oatmeal cookies
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 , cookies , oatmeal , dozen