Question 158679
let N=number of dancers


"There are 40 5th graders in the school, but they did not all dance" __ N<40


"When the dancers rehearsed in rows of 2, one dancer was left to dance alone"
__ N is odd


"When the dancers rehearsed in rows of 5, finally every dancers was in a row!"
__ N is divisible by 5 __ 5, 15, 25, or 35


"When the dancers rehearsed in rows of 3, two dancers were left to dance together"
__ when N is divided by 3, the remainder is 2 __ 5 or 35


"When the dancers rehearsed in rows of 4, three dancers were left to dance together"
__ when N is divided by 4, the remainder is 3


N must equal 35