A board is 60 in. Long is cut into two parts so that the longer piece is 5 times the shorter. What is the size of the two pieces of board

Let the shorter piece be x.

Shorter piece = x

Longer piece is 5 times the shorter

⇒Longer piece = 5x

The total length is 60 in.

⇒ x + 5x = 60

Solve x:

x + 5x = 60

Combine like terms:

6x = 60

Divide both sides by 6:

x = 10

Shorter piece = x = 10

Longer piece = 5x = 5 (10) = 50

Answer: Shorter piece = 10 in, longer piece = 50 in

Shorter piece - x in.

longer piece - 5x in

x+5x=60 in

6x=60

x=10 in - shorter piece

5x=5*10=50 in - longer piece