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iris [78.8K]
3 years ago
15

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 t

he length of each piece
Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer:

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

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