math
posted by professor kitty .
a piece of string is cut in half, so that one half can be used to tie newspapers, one third of the remaining string is cut off to tie a parcel. the leftover string is 2m long. how long was the whole string

String is x meters long.
The string is cut in 1/2 so now we have 2 halves, each half is (1/2)*x or x/2.
We take 1/3 of the x/2 piece to tie a parcel. How much is left? That will be
(1/2)(x)(1/3)(x/2) and that piece is 2 m.
So (1/2)(x)(1/3)(x/2) = 2 m
or (1/2)(x)(1/6)(x) = 6
Solve for x.
Multiply through by 6.
3xx=12
2x = 12
x = 6,
Check:
String is 6 meters long.
We cut half of it leaving 3 meters.
3 meters used to tie newspaper.
The 3 meter piece that's left is cut to remove 1/3 of that. 1/3*3 = 1 meter used to tie a parcel. That leaves 2 meters for the part left over and that's what the problem says.
Respond to this Question
Similar Questions

home ec.
how do you tie off when you get done sewing? 
Math
A string is cut in half,and one of the halves is used to bundle newspapers. Then one fifth of the remaining string is cut off. The piece left is 8 feet long. How long was the string originally? 
Ogle
A string is cut in half, and one of the halves is used to bundle newspapers. Then one fifth of the remaining string is cut off. The piece left is 8 feet long. how long was the string originally. 
math
Elise used 2/9 of piece of string to tie a parcel and another 1/4 of the string to tie a box. What fraction of the string was left? 
math
please kindly help me to get the answer for this . Elise used 2/9 of piece of string to tie a parcel and another 1/4 of the string to tie a box. What fraction of the string was left? 
math
Ms. Billets used 8 feet of string to tie together newspapers to take to the recycling center. What fraction of the string she bought does she have left? 
math
Gary has a length of string for making a yoyo that is fiftyseven and onehalf inches long. He wants to cut that in half to get the proper length. Which expression can be used to find the length of each piece of string? 
maths
Christopher has cut three pieces of string to three kites.two pieces are equal length. rhw third pieces is one half of the lenght of each of the others. he cut out the three pieces from a roll of string 70 meters long without any String … 
math
Mrs lim had a ball of string of length 26 m. she cut 5 m of string to tie up some parcels. the remaining string was then cut into 4 equal pieces. what is the length of each piece of string? 
math
a ball of string is 50 yards long. a shipper uses 5 yards of string to tie packages, the remaining string is then cut into 7 equal pieces. what is the lengths of each of the 7 pieces of string?