Bunuel wrote:
The ratio of violinists to cellists at a conservatory is 3 to 1. If 180 of the violinists depart, and all the cellists remain, the result is a new ratio of 3 violinists to 2 cellists. How many cellists are enrolled at the conservatory?
A. 100
B. 120
C. 240
D. 300
E. 360
V:C = 3:1
—> Values of V & C respectively = 3k & k
180 V departs —> Remaining V = 3k - 180
New ratio = 3:2
—> (3k - 180)/k = 3/2
—> 6k - 360 = 3k
—> 3k = 360
—> k = 120
Cellists = k = 120
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