Question

In a cookie jar, 1/4 of the cookies are chocolate chip and 1/2 of the rest are peanut butter. what fraction of all the cookies are peanut butter?

Answer 1

Answer:

$\frac{3}{8}$

Step-by-step explanation:

The fraction of all the cookies is equivalent to 1.

If $\frac{1}{4}$ of the cookies are chocolate chip, then the remaining cookies is equivalent to

$1-\frac{1}{4}=\frac{3}{4}$.

The fraction of all the cookies that are peanut butter is

$=\frac{1}{2}\times \frac{3}{4}$

$=\frac{3}{8}$

Answer 2

Peanut butter are ³/₈ of all the 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!

Let :

Total Number of Cookies = X

Given:

¹/₄ of the cookies are chocolate chip

$\texttt{Chocolate Chip Cookies} = \frac{1}{4} \times \texttt{Total Number of Cookies}$

$\texttt{Chocolate Chip Cookies} = \frac{1}{4} \times X$

$\texttt{Chocolate Chip Cookies} = \boxed {\frac{1}{4} X}$

Let's find the fraction for other cookies

$\texttt{Other Cookies} = \texttt{Total Number of Cookies} - \texttt{Chocolate Chip Cookies}$

$\texttt{Other Cookies} = X - \frac{1}{4} X$

$\texttt{Other Cookies} = \frac{4}{4}X - \frac{1}{4} X$

$\texttt{Other Cookies} = \frac{4 - 1}{4}X$

$\texttt{Other Cookies} = \boxed {\frac{3}{4}X}$

¹/₂ of the rest are peanut butter

$\texttt{Peanut Butter Cookies} = \frac{1}{2} \times \texttt{Other Cookies}$

$\texttt{Peanut Butter Cookies} = \frac{1}{2} \times \frac{3}{4}X$

$\texttt{Peanut Butter Cookies} = \frac{1 \times 3}{2 \times 4}X$

$\texttt{Peanut Butter Cookies} = \boxed {\frac{3}{8}X}$

Learn more

• Perimeter of Rectangle : brainly.com/question/12826246

• Elimination Method : brainly.com/question/11233927

• Sum of The Ages : 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