Marcos is bringing $36$ cookies to his book club, but he's not sure how many people will be there. He wants to write an equation that shows how many cookies each person will get $(c)$ in terms of how many people are there $(n)$ . $\newline$ How should Marcos write his equation? $\newline$ Choose $1$ answer: $\newline$ (A) $c=\frac{36}{n}$ $\newline$ (B) $n=\frac{36}{c}$ $\newline$ (C) $n c=36$

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Algebra 1

Solve a system of equations using any method: word problems

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Q. Marcos is bringing

36

cookies to his book club, but he's not sure how many people will be there. He wants to write an equation that shows how many cookies each person will get

(c)

in terms of how many people are there

(n)

\newline

How should Marcos write his equation?

\newline

Choose

1

answer:

\newline

(A)

c=\frac{36}{n}

\newline

(B)

n=\frac{36}{c}

\newline

(C)

n c=36

Divide Cookies Among Attendees: Marcos wants to find out how many cookies each person will get if he brings $36$ cookies to his book club. To write an equation for this, we need to divide the total number of cookies by the number of people attending.
Write Equation for Cookies per Person: The equation should represent the number of cookies per person $c$ as a function of the number of people $n$ . Since Marcos is bringing a fixed number of cookies $36$ , and this number is to be divided among the attendees, the correct equation would be the total number of cookies divided by the number of people.
Evaluate Equation Options: Option (A) $c = \frac{36}{n}$ correctly represents the situation where $c$ is the number of cookies each person will get when the total number of cookies ( $36$ ) is divided by the number of people ( $n$ ).
Evaluate Equation Options: Option (A) $c = \frac{36}{n}$ correctly represents the situation where $c$ is the number of cookies each person will get when the total number of cookies ( $36$ ) is divided by the number of people ( $n$ ).Option (B) $n = \frac{36}{c}$ would imply that the number of people is determined by dividing the total number of cookies by the number of cookies per person, which is not what we are looking for.
Evaluate Equation Options: Option (A) $c = \frac{36}{n}$ correctly represents the situation where $c$ is the number of cookies each person will get when the total number of cookies $(36)$ is divided by the number of people $(n)$ .Option (B) $n = \frac{36}{c}$ would imply that the number of people is determined by dividing the total number of cookies by the number of cookies per person, which is not what we are looking for.Option (C) $nc = 36$ would imply that the product of the number of people and the number of cookies per person equals $36$ , which is not the correct representation of the situation since we are dividing the total number of cookies by the number of people.