a 55 ft long drainage pipe must be cut into two pieces before installation. one piece is two-thirds as long as the other. find the length of each piece

33 feet

22 feet

Step-by-step explanation:

Let the longer piece be x

Therefore the shorter piece is (2/3) x

x + (2/3) x = 55 Combine the left 2 terms.

(3/3) x + (2/3) x = 55 Add

(5/3) x = 55 Multiply both sides by (3/5)

(3/5) * (5/3) x = (3/5) * 55

x = 33

The larger piece is 33 feet

The smaller piece is (2/3) * 33 = 22 feet