Olga tried to solve an equation step by step. {:[(1)/(4)((1)/(3)k+9)=6],[(1)/(3)k+9=24" Step 1 "],[(1)/(3)k=15" Step 2 "],[k=5" Step 3 "]:} Find Olga's mistake. Choose 1 answer: (A) Step 1 (B) Step 2 (c) Step 3 (D) Olga did not make a mistake.

Original Equation: Olga's original equation is $\frac{1}{4}(\frac{1}{3}k + 9) = 6$. To solve for $k$, she first multiplies both sides by 4 to get rid of the fraction on the left side. $\frac{1}{4}(\frac{1}{3}k + 9) \times 4 = 6 \times 4$ $\frac{1}{3}k + 9 = 24$ This is Olga's Step 1. Let's check if this step is correct. $\frac{1}{4} \times 4 = 1$, and $6 \times 4 = 24$, so the equation simplifies correctly.Multiply by 4: Next, Olga subtracts 9 from both sides to isolate the term with $k$. $\frac{1}{3}k + 9 - 9 = 24 - 9$ $\frac{1}{3}k = 15$ This is Olga's Step 2. Let's check if this step is correct. $9 - 9 = 0$, and $24 - 9 = 15$, so the equation simplifies correctly.Subtract 9: Finally, Olga multiplies both sides by 3 to solve for $k$. $\frac{1}{3}k \times 3 = 15 \times 3$ $k = 45$ This is Olga's Step 3. Let's check if this step is correct. $\frac{1}{3} \times 3 = 1$, and $15 \times 3 = 45$, not 5 as Olga stated. Here is where Olga made a mistake.

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Olga tried to solve an equation step by step.

{:[(1)/(4)((1)/(3)k+9)=6],[(1)/(3)k+9=24" Step 1 "],[(1)/(3)k=15" Step 2 "],[k=5" Step 3 "]:}
Find Olga's mistake.
Choose 1 answer:
(A) Step 1
(B) Step 2
(c) Step 3
(D) Olga did not make a mistake.

Olga tried to solve an equation step by step. $\newline$ $\begin{array}{rlrl} \frac{1}{4}\left(\frac{1}{3} k+9\right) & =6 & \\ \frac{1}{3} k+9 & =24 \quad \text { Step 1 } \\ \frac{1}{3} k & =15 \quad \text { Step 2 } \\ k & =5 \quad \text { Step 3 } \end{array}$ $\newline$ Find Olga's mistake. $\newline$ Choose $1$ answer: $\newline$ (A) Step $1$ $\newline$ (B) Step $2$ $\newline$ (C) $\operatorname{Step} 3$ $\newline$ D Olga did not make a mistake.

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Math Problems

Algebra 1

Solve a system of equations using any method: word problems

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Q. Olga tried to solve an equation step by step.

\newline

\begin{array}{rlrl} \frac{1}{4}\left(\frac{1}{3} k+9\right) & =6 & \\ \frac{1}{3} k+9 & =24 \quad \text { Step 1 } \\ \frac{1}{3} k & =15 \quad \text { Step 2 } \\ k & =5 \quad \text { Step 3 } \end{array}

\newline

Find Olga's mistake.

\newline

Choose

1

answer:

\newline

(A) Step

1

\newline

(B) Step

2

\newline

(C)

\operatorname{Step} 3

\newline

D Olga did not make a mistake.

Original Equation: Olga's original equation is $\frac{1}{4}(\frac{1}{3}k + 9) = 6$ . $\newline$ To solve for $k$ , she first multiplies both sides by $4$ to get rid of the fraction on the left side. $\newline$ $\frac{1}{4}(\frac{1}{3}k + 9) \times 4 = 6 \times 4$ $\newline$ $\frac{1}{3}k + 9 = 24$ $\newline$ This is Olga's Step $1$ . $\newline$ Let's check if this step is correct. $\newline$ $\frac{1}{4} \times 4 = 1$ , and $6 \times 4 = 24$ , so the equation simplifies correctly.
Multiply by $4$ : Next, Olga subtracts $9$ from both sides to isolate the term with $k$ . $\newline$ $\frac{1}{3}k + 9 - 9 = 24 - 9$ $\newline$ $\frac{1}{3}k = 15$ $\newline$ This is Olga's Step $2$ . $\newline$ Let's check if this step is correct. $\newline$ $9 - 9 = 0$ , and $24 - 9 = 15$ , so the equation simplifies correctly.
Subtract $9$ : Finally, Olga multiplies both sides by $3$ to solve for $k$ . $\newline$ $\frac{1}{3}k \times 3 = 15 \times 3$ $\newline$ $k = 45$ $\newline$ This is Olga's Step $3$ . $\newline$ Let's check if this step is correct. $\newline$ $\frac{1}{3} \times 3 = 1$ , and $15 \times 3 = 45$ , not $5$ as Olga stated. $\newline$ Here is where Olga made a mistake.