Question

Jerome, kevin and seth shared a submarine sandwhich. Jerome ate 1/2 of the sandwich , kevin ate 1/3 of the sandwich, and seth ate the rest. What is the ratio of jerome's share to kevin's share to kevin's share to seth's share?

Answer 1

Given:

Jerome ate 1/2 of the sandwich , Kevin ate 1/3 of the sandwich, and Seth ate the rest.

To find:

The ratio of jerome's share to kevin's share to seth's share.

Solution:

Jerome ate 1/2 of the sandwich. So,

Jerome's share =
`(1)/(2)`

Kevin ate 1/3 of the sandwich. So,

Kevin's share =
`(1)/(3)`

Seth ate the rest. So,

Seth's share =
`1-(1)/(2)-(1)/(3)`

=
`(6-3-2)/(6)`

=
`(1)/(6)`

The ratio of jerome's share to kevin's share to seth's share is:

`(1)/(2):(1)/(3):(1)/(6)`

To simplify the ratio multiply the ratio by 6.

`(1)/(2)* 6:(1)/(3)* 6:(1)/(6)* 6`

`3:2:1`

Therefore, the ratio of jerome's share to kevin's share to seth's share is 3:2:1.