Question

a piece of ribbon is cut into two shorter pieces in the ratio 2.8 : 1.25

The difference in the length of the shorter pieces is 80.6 cm.

What is the length of the original piece?

Answer 1

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 the shorter pieces is 80.6 cm. "

This makes no sense, I will assume you meant that the difference in the length of the two pieces is 80.6

56x - 25x = 80.6
x = 80.6/31 = 806/310 = 13/5 = 2.6

so the original piece = 56x + 25x = 81x
81x = 81(2.6) = 210.6

The original was 210.6 cm


check:
the pieces are 56(2.6) and 25(2.6) cm or
145.6 cm and 65 cm
sum = 145.6+65 = 210.6 , check!
ratio of 145.6 : 65
= 1456 : 650 ----> divide each by 520
= 2.8 : 1.25 , check!
=

Answer 2

Coolllllllk brooomim tryna cheat on this test thanks

Answer 3

210.6 yw