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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?

Respuesta :

Answer:

The number of runners is [tex]\dfrac{4 }{35}[/tex] of Total number of the member in team .

Step-by-step explanation:

Given as :

The Total number of the member in team = x

The number of boys in team = [tex]\dfrac{3}{5}[/tex] of x

I.e  number of boys in team = [tex]\dfrac{3 x}{5}[/tex]

Again

The number of sixth-grade boys = [tex]\dfrac{4}{7}[/tex] of total boys in team

I.e The number of sixth-grade boys = [tex]\dfrac{4}{7}[/tex] × [tex]\dfrac{3 x}{5}[/tex]

Or, The number of sixth-grade boys = [tex]\dfrac{12 x}{35}[/tex]

Again

The number of runners =  [tex]\dfrac{1}{3}[/tex] of number of sixth-grade boys

i.e The number of runners =  [tex]\dfrac{1}{3}[/tex] × [tex]\dfrac{12 x}{35}[/tex]

Or, The number of runners =  [tex]\dfrac{4 x}{35}[/tex]

So, The number of runners = [tex]\dfrac{4 }{35}[/tex] of Total number of the member in team

Hence,The number of runners is [tex]\dfrac{4 }{35}[/tex] of Total number of the member in team . Answer

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