Mathematics: Darpana solved the equation s = StartFraction a + b + c Over 3 EndFraction for a. Her steps are shown below: 1. Multiply by 3: s = StartFraction a + b + c Over 3 EndFraction. 3 s = a + b + c. 2. Subtract b: 3 s minus b = a + b + c minus b. 3 s minus b = a + c. 3. Divide by c: StartFraction 3 s minus b Over c EndFraction = a. Which statement about Darpana s work is true? In step 1 she needed to divide by 3 rather than multiply. In step 2 she needed to add b rather than subtract. In step 3 she needed

Darpana solved the equation s = StartFraction a

chem1014

04.02.2022

Option (c) is correct.

Step-by-step explanation:

Given equation is :

$s=\dfrac{a+b+c}{3}$

The equation can be solved for a as follows :

Step 1.

Cross multiply the given equation

3s=a+b+c

Step 2.

Now subtract b on both sides

3s-b = a+b+c-b

3s-b = a+c

Step 3.

Subtract c on both sides

3s-b-c=a+c-c

⇒ a=3s-b-c

The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".

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