nine more than the quotient of a number and 4 equals 3

Answer 1

I'm guessing that you are needing the equation written out algebraically and then solved. So let's break down the original statement:

Nine more than the quotient of a number and 4 equals 3.

-nine more is the same as '+9'

-a number means to assign a variable, lets go with 'x'

-quotient means division, so the quotient of a number and 4 would be x/4

-equals 3 would be =3

-lastly, the word 'than' means that the part right after 'than' always moves to the front of the equation/expression ....... so

(x/4) + 9 = 3

Now to solve:

You'll want to undo each step (by doing the opposite operations), and whatever you do to one side, you do to the other side.

Step 1

(x/4) + 9 = 3 you'll want to subtract 9 from both sides

1. 9 -9

Step 2

(x/4) = -6 because after you subtracted 9 from both sides (9-9 cancels out, and 3-9=-6)

Step 3

4(x/4) = -6 (4) you'll want to multiply both sides by 4 in order to undo the division by 4

Step 4

x = -24