a art teacher has a box of markers she keeps half the markers in the box and gives a third of half to group a an art teacher has a box of markers she keeps half of the markers in the box and gives 1/3 of the markers to group pay the remaining markers were shared equally among 8 students in group b what fraction of the whole box does each student get in group b

a art teacher has a box of markers she keeps half the markers in the box and gives a third of half to group a an art teacher has a box of markers she keeps half class=

Respuesta :

An art teacher has a box of markers.

She keeps half of the markers in the box and gives 1/3 of the other half to group A.

Group A gets,

[tex]group\: A=\frac{1}{3}\times\frac{1}{2}=\frac{1}{6}[/tex]

So, group A gets 1/6 markers.

The remaining markers were shared equally among 8 students in group B.

Remaining markers means

[tex]\begin{gathered} \frac{1}{2}+\frac{1}{6}=\frac{2}{3} \\ remaing\: markers=1-\frac{2}{3}=\frac{1}{3} \end{gathered}[/tex]

So, group B gets

[tex]\text{Group B=}\frac{1}{3}\times\frac{1}{8}=\frac{1}{24}[/tex]

Therefore, each student of group B gets 1/24 of the whole box