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.

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