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

 

A sloth is swimming in the Charles River at 20 feet per minute. How fast is the sloth swimming in smoots per hour? One smoot is equal to 5 feet, 7 inches. Write your final answer as a simplified fraction.

 

Can I also have a solution? Thanks so much!

 Sep 28, 2020
 #1
avatar+27774 
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x = original band member #

 

7 out of (7+1) = 7/8 x    were floutists

 

they lose 6       7/8x -6

and the band number is now  x -6+2  = x-4   of which 3 out of (3+1)   or  3/4 are floutists

 

7/8x -6 = 3/4 (x-4)   solve for x

1/8 x = 3

x = 24     original members

 Sep 28, 2020
 #2
avatar+27774 
+1

20 ft/ min   x 12 in/ft    /   67 in/smoot     x   60 min / 1 hr    =  

 

20 x 12   / 67    *   60     smoot/hr = ...........

 Sep 28, 2020

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