Question

Solve for q.
a=qb+r
What is q equal to?
q=a−r−b
q=a−r/b
q=a/b−r
q=a/rb

Answer 1

The given equation is $a=qb+r$

We need to solve the equation for q.

Value of q:

Let us determine the value of q from the equation $a=qb+r$

Subtracting both sides of the equation by r, we get;

$a-r=qb$

Now, dividing both sides of the equation by b, we have;

$\frac{a-r}{b}=\frac{qb}{b}$

Simplifying the terms, we get;

$\frac{a-r}{b}=q$

Therefore, the value of q is $q=\frac{a-r}{b}$

Hence, Option B is the correct answer.