SOLUTION: Its about Divisibility. Use this hints to figure out how many dancers there were. There are 40 5th graders in the school, but they did not all dance.When the dancers rehearsed in r

Question 158679: Its about Divisibility. Use this hints to figure out how many dancers there were. There are 40 5th graders in the school, but they did not all dance.When the dancers rehearsed in rows of 2, one dancer was left to dance alone. When the dancers rehearsed in rows of 3, two dancers were left to dance together. When the dancers rehearsed in rows of 4, three dancers were left to dance together. When the dancers rehearsed in rows of 5, finally every dancers was in a row! How many dancers could have been in the dance scene? Explain how you got your answer.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
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
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