Mathematics: 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?

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On the track team, 35of the members are boys.

bayleeharris8p78txa

14.01.2022

The number of runners is $\dfrac{4 }{35}$ 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 = $\dfrac{3}{5}$ of x

I.e number of boys in team = $\dfrac{3 x}{5}$

Again

The number of sixth-grade boys = $\dfrac{4}{7}$ of total boys in team

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

Or, The number of sixth-grade boys = $\dfrac{12 x}{35}$

Again

The number of runners = $\dfrac{1}{3}$ of number of sixth-grade boys

i.e The number of runners = $\dfrac{1}{3}$ × $\dfrac{12 x}{35}$

Or, The number of runners = $\dfrac{4 x}{35}$

So, The number of runners = $\dfrac{4 }{35}$ of Total number of the member in team

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

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