The quotient of a number and four is twelve less than the number. what is the number?
a.
–4
b.
9.6
c.
8
d.
16

To begin solving this problem, it is easier by translating it first into a mathematical equation. It can be translated as follows:

Let: x = the unknown number

x / 4 = x - 12

To solve for x, it is necessary to isolate it first. Multiplying both sides by 4 would take away the fraction, making it easier to isolate. It is done as follows:

(x / 4)*4 = (x - 12)*4
x = 4x - 48

Subtracting both sides x:
x - x = 4x - 48 - x
0 = 3x - 48

Adding both sides by 48:
0 + 48 = 3x - 48 + 48
48 = 3x

Dividing both sides by 3:
48/3 = x
x = 16

Therefore the unknown number is 16.