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? 4. 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.

Number of drummers in original ensemble  

Number of flutists in original ensemble

Step-by-step explanation:

The ratio of flutists to drummers is

Let number of flutists and drummers be and .

As 2 drummers join the group and 6 flutists quit,

Number of drummers =

Number of flutists =

New ratio of flutists to drummers =

So,

So,

Number of drummers in original ensemble  

Number of flutists in original ensemble

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

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step-by-step explanation:

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