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,

$5x+6x=88$

$11x=88$

$x=\dfrac{88}{11}$

$x=8$

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.