the ratio of participants on the girls track team to the number of boys on the track team is 5:7. If the boys have 22 more participants than the girls, how many girls are on the track team?

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02-06-2019
Mathematics

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the ratio of participants on the girls track team to the number of boys on the track team is 5:7. If the boys have 22 more participants than the girls, how many girls are on the track team?

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jdoe0001 jdoe0001 · Answer 1 · 2019-06-02T23:02:09+02:00

jdoe0001 jdoe0001

02-06-2019

[tex]\bf girls:boys\qquad 5:7\qquad \cfrac{girls}{boys}=\cfrac{5}{7}\qquad ~\hspace{8em}\cfrac{\stackrel{\textit{girls}}{g}}{\underset{\textit{22 more than \underline{g}}}{g+22}}=\cfrac{5}{7} \\\\\\ 7g=5(g+22)\implies 7g=5g+110\implies 2g=110\implies g=\cfrac{110}{2}\implies g=55[/tex]

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