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Alice signed up to bake chocolate chip and oatmeal raisin cookies for a bake sale. After she made $c$ chocolate chip cookies, Alice decided to make $12$ fewer oatmeal raisin cookies, since they are less popular. She only made $24$ oatmeal raisin cookies. $\newline$ Which diagram models the story? $\newline$ Which equation models the story? $\newline$ Choices: $\newline$ (A) $c + 12 = 24$ $\newline$ (B) $c - 12 = 24$

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Evaluate two-variable equations: word problems

Full solution

Q. Alice signed up to bake chocolate chip and oatmeal raisin cookies for a bake sale. After she made

c

chocolate chip cookies, Alice decided to make

12

fewer oatmeal raisin cookies, since they are less popular. She only made

24

oatmeal raisin cookies.

\newline

Which diagram models the story?

\newline

Which equation models the story?

\newline

Choices:

\newline

(A)

c + 12 = 24

\newline

(B)

c - 12 = 24

Subtract $12$ from $c$ : Alice made $c$ chocolate chip cookies and $24$ oatmeal raisin cookies, which is $12$ fewer than the chocolate chip cookies. To find the relationship between $c$ and the oatmeal raisin cookies, we subtract $12$ from $c$ : $c - 12$ .
Set up the equation: We know Alice made $24$ oatmeal raisin cookies, so we set up the equation $c - 12 = 24$ to represent this situation.
Solve the equation: To find the value of $c$ , we solve the equation: $\newline$ $c - 12 = 24$ $\newline$ $c = 24 + 12$ $\newline$ $c = 36$

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