A coaxial cable 10 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of cable.

Answer 1

x + (2/3)x = 10

(5/3)x = 10

x = 10 / (5/3)

x = 10 * (3/5)

x = 30/5 = 6

The longer piece is 6 feet long.

Shorter piece = (2/3) * 6