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;

`(a-r)/(b)=(qb)/(b)`

Simplifying the terms, we get;

`(a-r)/(b)=q`

Therefore, the value of q is
`q=(a-r)/(b)`

Hence, Option B is the correct answer.