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Every musician in the band plays either the fife or the drum (but not both). The ratio of fifers to drummers is 7 : 1. If 2 drummers join the group and 6 fifers quit, the ratio of fifers to drummers would be 3 : 1. How many musicians were in the original ensemble?

 Oct 8, 2021
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D==Drummers,   F==Fifers

 

F / D ==7 / 1

 

[F  -  6] / [D  +  2] ==3 / 1, solve for D, F

 

D==3 - original drummers.

F ==21 - original fifers.

 Oct 8, 2021

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