A rope is cut into 3 pieces, p, q, and r. The lengths of the pieces are in ratio 3:5:7. If the rope is 33feet 9 inches long find the lengths of p, q and r

3:5:7

3+5+7=15

15 units

33ft 9in = 15 units

convert to feet

33ft=12in times 33=396in

396+9=405

405in=15units

divide both sides by 15

27=1unit

p=3units

p=3*27

p=81 inches=6ft 9in

q=5 units

q=5*27

q=135 inches=11ft 3in

r=7units

r=7*27

r=189 inches=15ft 9in

p=6ft 9in

q=11ft 3in

r=15ft 9in