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

Question

asked Jul 24, 2022 40.0k views

1 Answer

Smillig · Answer 1 · 2022-07-30T23:49:08+0000

Answer:

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.