A rope is cut into tree pieces,P,Q, and R. The lengths of the pieces are in the ratio 3 : 5 : 7. If the rope is 33 feet 9 inches long, find the lengths of P , Q , and R.

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Answer:

The answer to your question is:

Step-by-step explanation:

ropes    P,  Q, R

ratio      3 : 5 : 7

Rope 33 ft 9 inches

Process

1.- Convert units to inches

  33 ft = 396 inches

Total length of the rope = 396 + 9

                                         = 405 inches

2.- Count the number of sections

                 3 + 5 + 7 = 15

3.- Divide the length by the number of sections

                 405/15  = 27

Each section has a length of 27 inches

4.- Calculate the length of each piece

P = 3 x 27 = 81 in

Q = 5 x 27 = 135 in

R = 7 x 27 = 189 in