Question

A. Step 1B. Step 1C. Step 3D. Olga did not make a mistake

Answer 1

Let's solve the question and see where Olga made a mistake

The question is

`(1)/(4)((1)/(3)k+9)=6`

Solving this we have

`\begin{gathered} (1)/(4)((1)/(3)k+9)=6 \\ \\ multiplying\text{ both sides by 4} \\ \\ (1)/(4)((1)/(3)k+9)*(4)/(1)=6*4 \\ \\ ((1)/(3)k+9)=24 \end{gathered}`

Next step we move 9 to meet 24, we have

`\begin{gathered} ((1)/(3)k+9)=24 \\ \\ (1)/(3)k=24-9 \\ \\ (1)/(3)k=15 \end{gathered}`

Now multiply 3 to both sides

`\begin{gathered} (1)/(3)k*3=15*3 \\ \\ k=45 \end{gathered}`

Therefore k = 45 and not 5. So Olga made a mistake in the last step, which is step 3. So the answer is step 3