Respuesta :
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 = [tex]\dfrac{1}{2}[/tex]
Kevin ate 1/3 of the sandwich. So,
Kevin's share = [tex]\dfrac{1}{3}[/tex]
Seth ate the rest. So,
Seth's share = [tex]1-\dfrac{1}{2}-\dfrac{1}{3}[/tex]
= [tex]\dfrac{6-3-2}{6}[/tex]
= [tex]\dfrac{1}{6}[/tex]
The ratio of jerome's share to kevin's share to seth's share is:
[tex]\dfrac{1}{2}:\dfrac{1}{3}:\dfrac{1}{6}[/tex]
To simplify the ratio multiply the ratio by 6.
[tex]\dfrac{1}{2}\times 6:\dfrac{1}{3}\times 6:\dfrac{1}{6}\times 6[/tex]
[tex]3:2:1[/tex]
Therefore, the ratio of jerome's share to kevin's share to seth's share is 3:2:1.
