Peanut butter are ³/₈ of all the cookies
Further explanation
Order of Operations in Mathematics follow this following rule :
- Multiplication and Division
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 :
Total Number of Cookies = X
Given:
¹/₄ of the cookies are chocolate chip
[tex]\texttt{Chocolate Chip Cookies} = \frac{1}{4} \times \texttt{Total Number of Cookies}[/tex]
[tex]\texttt{Chocolate Chip Cookies} = \frac{1}{4} \times X[/tex]
[tex]\texttt{Chocolate Chip Cookies} = \boxed {\frac{1}{4} X}[/tex]
Let's find the fraction for other cookies
[tex]\texttt{Other Cookies} = \texttt{Total Number of Cookies} - \texttt{Chocolate Chip Cookies}[/tex]
[tex]\texttt{Other Cookies} = X - \frac{1}{4} X[/tex]
[tex]\texttt{Other Cookies} = \frac{4}{4}X - \frac{1}{4} X[/tex]
[tex]\texttt{Other Cookies} = \frac{4 - 1}{4}X[/tex]
[tex]\texttt{Other Cookies} = \boxed {\frac{3}{4}X}[/tex]
¹/₂ of the rest are peanut butter
[tex]\texttt{Peanut Butter Cookies} = \frac{1}{2} \times \texttt{Other Cookies}[/tex]
[tex]\texttt{Peanut Butter Cookies} = \frac{1}{2} \times \frac{3}{4}X[/tex]
[tex]\texttt{Peanut Butter Cookies} = \frac{1 \times 3}{2 \times 4}X[/tex]
[tex]\texttt{Peanut Butter Cookies} = \boxed {\frac{3}{8}X}[/tex]
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
