Bill cut a piece of cloth into 2 pieces. The length of the shorter piece is 5/9 of the longer piece.
A find the ratio of the length of the longer piece to the length of the shorter piece to the total length.
B if the longer piece is 148.6cm longer than the shorter piece.. Find the total length of the original piece of cloth
short = 5/9 * long
so,
long/short = 9/5
9/5 short = short + 148.6
4/5 short = 148.6
find short, and then
total = short + 9/5 short
To find the ratio of the length of the longer piece to the length of the shorter piece to the total length, let's assume the longer piece has a length of "x" units.
A) The length of the shorter piece is given as 5/9 of the longer piece, so the length of the shorter piece would be (5/9)x units.
The ratio can be written as (x : (5/9)x : (x + (5/9)x)), which simplifies to (9x : 5x : 14x/9).
B) If the longer piece is 148.6 cm longer than the shorter piece, we can set up the equation:
x = length of shorter piece
x + 148.6 = length of longer piece
To find the total length of the original piece of cloth, we need to add the lengths of the longer and shorter pieces:
Total length = length of shorter piece + length of longer piece = x + (x + 148.6).
So, the total length of the original piece of cloth is 2x + 148.6 cm.