Question

Olga tried to solve an equation step by step.

\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&=6 \\\\ \dfrac13k+9&=24&\green{\text{Step } 1} \\\\ \dfrac13k&=15&\blue{\text{Step } 2} \\\\ k&=5&\purple{\text{Step } 3} \end{aligned}

4

1

​

(

3

1

​

k+9)

3

1

​

k+9

3

1

​

k

k

​


=6

=24

=15

=5

​


Step 1

Step 2

Step 3

​


Find Olga's mistake.

Answer 1

Well formatted version of question :

Olga tried to solve an equation step by step

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

step 1- 1/3k+9=24

step 2- 1/3k=15

step 3- k=5

find olgas mistake

step 1

step 2

step 3

olga did not make a mistake

Answer:

Step 3

Explanation:

Given the equation :

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

Step 1 : Olga multiplied both sides by 4

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

1/3k + 9 = 24

Step 2 : Olga subtracted 9 from sides

1/3k + 9 - 9 = 24 - 9

1/3k = 15

Step 3 : Both sides should be multiplied by 3

1/3k * 3 = 15 * 3

k = 45

This is the step Olga made a mistake. Olga attempted to divide 15/3 = 5 instead of Multiplying 15 * 3 to obtain 45