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!
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