A piece of ribbon is cut into two shorter pieces in ratio 2.8 : 1.25. The difference in the length of the two shorter pieces is 80.6 centimetera. What is the length of the original piece of ribbon?
Answers
Answered by
0
Step-by-step explanation:
ANSWER : 210.6 cm
Reduce the ratio:
2.8 : 1.25
= 280 : 125
= 56 : 25
let the ratio of the ribbons be 56x : 25x
The difference in the length of shorter pieces = 80.6cm
56x - 25x = 80.6
x = 80.6/31
= 806/310
= 13/5
x = 2.6
original piece = 56x + 25x
= 81x
81x = 81(2.6)
= 210.6
. : The Length of the original Piece is 210.6 cm
HINT :
Two pieces 56(2.6) and 25(2.6) cm
= 145.6 cm and 65 cm
sum = 145.6 + 65
= 210.6
ratio of 145.6 : 65
ratio of 145.6 : 65= 1456 : 650 → divide by 520
by 520= 2.8 : 1.25 , Hence.
Similar questions