A 15-foot log is cut into two pieces. How long is each piece if the longer piece is 1.5 feet shorter than twice the shorter piece?

Length of shorter piece is 5.5 foot and length of longer piece is 9.5 foot.

Step-by-step explanation:

It is given that a 15-foot log is cut into two pieces.

The longer piece is 1.5 feet shorter than twice the shorter piece.

Let the length of shorter piece be x foot.

Length of longer piece = (2x-1.5) foot

Combine length of both pieces = x+(2x-1.5) foot

Now,

Divide both sides by 3.

Length of shorter piece = 5.5 foot. So, length of longer piece is

Therefore, length of shorter piece is 5.5 foot and length of longer piece is 9.5 foot.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.