SOLUTION: A 2-metre long wire is cut into 5 pieces. three of the shorter pieces have lenghts in cm, which are consecutive whole numbers while the two lnger pieces are each x cm. find the len

Algebra.Com
Question 106390: A 2-metre long wire is cut into 5 pieces. three of the shorter pieces have lenghts in cm, which are consecutive whole numbers while the two lnger pieces are each x cm. find the lenght of the shortest piece.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The consecutive whole numbers can be called
,,
The sum of the 2 longer pieces is
What if each longer piece were 100 cm? Then ther would be nothing left for the
other three pieces

Now keep making x smaller and see how much is left for the other three
lengths, and if they can be consecutive numbers.

and is too big

is still too big

works out good



So, the lengths are 1,2,3,97,97

RELATED QUESTIONS

A 6-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the... (answered by solver91311)
A stick is 86 centimeters long is cut into 5 pieces. θhe three long pieces are all... (answered by stanbon)
A piece of wire was cut into 2 pieces in the ratio 4:7. The longer piece was 42 cm .... (answered by addingup)
a piano wire 24in. long is cut into two pieces. the longer piece is 4in. more than three... (answered by scott8148)
A piece of wire is 90 cm long. It has to be cut into two piece such that one piece is 2/3 (answered by josgarithmetic)
a 48 cm wire is to be cut into two pieces. One piece must be 10 cm longer than the... (answered by cheesey)
a copper wire measures 85 cm in length and is cut into 2 pieces. if the shorter piece is... (answered by ankor@dixie-net.com)
A wire 264 cm in length is to be cut into two pieces, one to form a rectangle whose... (answered by mananth)
A board 60 in. long is cut into two parts so that the longer is 5 times the shorter. What (answered by Mathtut)