Question

1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake

Answer 1

Step 3 contains error.

Explanation:

The given equation is :

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

Step 1.

Cross multiplying,

`((1)/(3)k+9)=24`

Step 2.

Subtract 9 from both sides

`(1)/(3)k+9-9=24-9\\\\(1)/(3)k=15`

Step 3.

Cross multiplying

`k=15* 3\\\\k=45`

So, there is an error in step 3. The correct answer should be 45.