1958 AMC 12 Question 14 - thichhoctoan.com

Question 14

At a dance party a group of boys and girls exchange dances as follows: one boy dances with $5$ girls, a second boy dances with $6$ girls, and so on, the last boy dancing with all the girls. If $b$ represents the number of boys and $g$ the number of girls, then:

$b=g$
$b=\dfrac g5$
$b=g-4$
$b=g-5$
It is impossible to determine a relation between $b$ and
$g$ without knowing $b+g$