You can
put this solution on YOUR website! Please help me on this proportion.
A 60 meter steel pole is cut into two parts in the ratio of 11:4.
How much longer is the longer part than the shorter?
Let x meters = the length of the longer piece.
Then the length of the shorter piece is
60 meters - x meters or
60 - x meters
longer piece 11
——————————————— = ————
shorter piece 4
x 11
———————— = ————
60 - x 4
Cross multiply:
(LEFT NUMERATOR)×(RIGHT DENOMINATOR) =
(RIGHT NUMERATOR)×(LEFT DENOMINATOR)
(x)(4) = (11)(60 - x)
4x = 11(60 - x)
4x = 660 - 11x
15x = 660
x = 660/15
x = 44 = length of longer piece
length of shorter piece = 60 - x = 60 - 44 =
16 meters
To find how much longer 44 is than 16, we subtract
44 - 16 and get 28 meters.
Edwin
AnlytcPhil@aol.com
