Sixteen less than one-fourth of a number is equal to -20. find the number. explain how did you get the steps

The number is -16

Step-by-step explanation: We start by assigning a letter to represent the unknown number. Hence, let the number be y.

One fourth of a number, or in this case, one-fourth of y, can also be written as 1/4 times y. That can now be expressed in its simplest form as

y/4.

Sixteen less than one-fourth of y, can also be re-written as

y/4 - 16.

Therefore if the question says, “sixteen less than one-fourth of a number is equal to -20...” we can now write out the question as follows

(y/4) - 16 = -20

For the left hand side of the equation we can find the LCM as 4, and that can now be written out as

(y - 64)/4 = -20

By cross multiplication we now have

y - 64 = -20 (4)

y - 64 = -80

Add 64 to both sides of the equation

y - 64 + 64 = -80 + 64

y = -16

Therefore the unknown number is -16

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