A Dance Party
Source:
June 13, 2009
Problem Statement
At a dance party a group of boys and girls exchange dances as follows: one boy dances with girls, a second boy dances with girls, and so on, the last boy dancing with all the girls. If represents the number of boys and the number of girls, then:
(A)\ b \equal{} g\qquad
(B)\ b \equal{} \frac{g}{5}\qquad
(C)\ b \equal{} g \minus{} 4\qquad
(D)\ b \equal{} g \minus{} 5\qquad \\
(E)\ \text{It is impossible to determine a relation between }{b}\text{ and }{g}\text{ without knowing }{b \plus{} g.}