Question

On the track team, 35of the members are boys. Of these boys, 47 are sixth-graders. Of the sixth-grade boys on the team, 13 are runners. What fraction of the track team are sixth-grade boy runners?

Answer 1

The number of runners is
`(4 )/(35)` of Total number of the member in team .

Explanation:

Given as :

The Total number of the member in team = x

The number of boys in team =
`(3)/(5)` of x

I.e number of boys in team =
`(3 x)/(5)`

Again

The number of sixth-grade boys =
`(4)/(7)` of total boys in team

I.e The number of sixth-grade boys =
`(4)/(7)` ×
`(3 x)/(5)`

Or, The number of sixth-grade boys =
`(12 x)/(35)`

Again

The number of runners =
`(1)/(3)` of number of sixth-grade boys

i.e The number of runners =
`(1)/(3)` ×
`(12 x)/(35)`

Or, The number of runners =
`(4 x)/(35)`

So, The number of runners =
`(4 )/(35)` of Total number of the member in team

Hence,The number of runners is
`(4 )/(35)` of Total number of the member in team . Answer