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$At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for 3 cups of flour each. Then, she used the remaining 8 cups of flour she had to make a pan of muffins. She started her shift with a 20-cup bag of flour. Which equation can you use to find how many batches of cookies, x, Megan made? {:[8x+3=20],[3x+8=20],[3(x+8)=20]:} How many batches of cookies did Megan make? Write your answer as a whole number or a simplified fraction. ◻ batches of cookies Submit$

At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for $3$ cups of flour each. Then, she used the remaining $8$ cups of flour she had to make a pan of muffins. She started her shift with a $20$ -cup bag of flour. $\newline$ Which equation can you use to find how many batches of cookies, $x$ , Megan made? $\newline$ $\begin{array}{l} 8 x+3=20 \\ 3 x+8=20 \\ 3(x+8)=20 \end{array}$ $\newline$ How many batches of cookies did Megan make? $\newline$ Write your answer as a whole number or a simplified fraction. $\newline$ $\square$ batches of cookies $\newline$ Submit

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Math Problems

Grade 7

Solve two-step equations: word problems

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Q. At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for

3

cups of flour each. Then, she used the remaining

8

cups of flour she had to make a pan of muffins. She started her shift with a

20

-cup bag of flour.

\newline

Which equation can you use to find how many batches of cookies,

x

, Megan made?

\newline

\begin{array}{l} 8 x+3=20 \\ 3 x+8=20 \\ 3(x+8)=20 \end{array}

\newline

How many batches of cookies did Megan make?

\newline

Write your answer as a whole number or a simplified fraction.

\newline

\square

batches of cookies

\newline

Submit

Initial Flour Amount: Megan started with $20$ cups of flour and used $3$ cups for each batch of cookies, then used the remaining $8$ cups for muffins.
Cookies Flour Usage: Let $x$ represent the number of batches of cookies. The total flour used for cookies is $3$ cups per batch times the number of batches, or $3x$ .
Equation Setup: The equation representing the situation is $3x$ (flour for cookies) + $8$ (flour for muffins) = $20$ (total flour).
Equation Simplification: So the equation is $3x + 8 = 20$ .
Isolate $x$ Term: Subtract $8$ from both sides to isolate the term with $x$ .
Solve for x: $3x + 8 - 8 = 20 - 8$ , which simplifies to $3x = 12$ .
Solve for x: $3x + 8 - 8 = 20 - 8$ , which simplifies to $3x = 12$ . Divide both sides by $3$ to solve for $x$ .
Solve for x: $3x + 8 - 8 = 20 - 8$ , which simplifies to $3x = 12$ . Divide both sides by $3$ to solve for $x$ . $\frac{3x}{3} = \frac{12}{3}$ , which simplifies to $x = 4$ .