Posted by **professor kitty** on Tuesday, September 22, 2009 at 12:08am.

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

- math -
**DrBob222**, Tuesday, September 22, 2009 at 12:40am
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.

3x-x=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.

## Answer This Question

## Related Questions

- Math - A string is cut in half,and one of the halves is used to bundle ...
- Ogle - A string is cut in half, and one of the halves is used to bundle ...
- math - Mrs lim had a ball of string of length 26 m. she cut 5 m of string to tie...
- math - please kindly help me to get the answer for this . Elise used 2/9 of ...
- math - Elise used 2/9 of piece of string to tie a parcel and another 1/4 of the ...
- math - a ball of string is 50 yards long. a shipper uses 5 yards of string to ...
- math - Gary has a length of string for making a yo-yo that is fifty-seven and ...
- maths - Christopher has cut three pieces of string to three kites.two pieces ...
- home ec. - how do you tie off when you get done sewing? If you're using a sewing...
- math - Ms. Billets used 8 feet of string to tie together newspapers to take to ...

More Related Questions