Problema Solution
a rope is cut into three pieces P,Q and R.the lengths of the pieces are in the ratio 3:5:7.if the is 33 feet and 9 inches long,find the lengths of P,Q, and R
Answer provided by our tutors
let
p = the length of piece P
q = the length of piece Q
r = the length of piece R
the lengths of the pieces are in the ratio 3:5:7:
p : q : r = 3 : 5 : 7
thus we can write
p = 3x
q = 5x
r = 7x
for some x
the rope is 33 feet and 9 inches = 33*12 + 9 = 405 in
p + q + r = 405
3x + 5x + 7x = 405
by solving we find:
x = 27
click here to see the step by step solution of the equation:
p = 3*27 = 81 in = 6 ft 9 in
q = 5*27 = 135 = 11 ft 3 in
r = 7*27 = 189 in = 15 ft 9 in
the lengths of P,Q, and R are 6 ft 9 in, 11 ft 3 in and 15 ft 9 in respectively.