Respuesta :

2 dozen=24 cookies
2/3*24=oatmeal cookies
16 oatmeal cookies

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.

[tex]\texttt{Total Number of Cookies} = 2 \times 12 = \boxed {24 ~ \texttt{cookies}}[/tex]

Two thirds of the cookies were oatmeal.

[tex]\texttt{Number of Oatmeal Cookies} = \frac{2}{3} \times \texttt{Total Number of Cookies}[/tex]

[tex]\texttt{Number of Oatmeal Cookies} = \frac{2}{3} \times 24[/tex]

[tex]\texttt{Number of Oatmeal Cookies} = \frac{2 \times 24}{3}[/tex]

[tex]\texttt{Number of Oatmeal Cookies} = \frac{48}{3}[/tex]

[tex]\texttt{Number of Oatmeal Cookies} = \boxed {16 ~ \texttt{cookies}}[/tex]

Proof:

[tex]\frac{\texttt{Number of Oatmeal Cookies}}{\texttt{Total Number of Cookies}} = \frac{16}{24} = \frac{16 \div 8}{24 \div 8} = \frac {2}{3}[/tex]

Conclusion :

Mrs johnson made 16 oatmeal cookies

Learn more

  • Perimeter of Rectangle : https://brainly.com/question/12826246
  • Elimination Method : https://brainly.com/question/11233927
  • Sum of The Ages : https://brainly.com/question/11240586

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

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