Question

Carol has 88cm of string and cuts it in the ratio 5 : 6. How much longer is the

longest piece compared to the shortest piece

Answer 1

Given:

Carol has 88cm of string and cuts it in the ratio 5 : 6.

To find:

How much longer is the longest piece compared to the shortest piece.

Solution:

Let the lengths of two pieces of string are 5x and 6x. Then,

`5x+6x=88`

`11x=88`

`x=(88)/(11)`

`x=8`

Now, the lengths of pieces are:

`5x=5(8)`

`5x=40`

And,

`6x=6(8)`

`6x=48`

The difference between the longer piece and shorter piece is:

`48-40=8`

Therefore, the longer piece is 8 m longer than the shorter piece.