SOLUTION: The marching band has more than 100 members but fewer than 200 members. When they line up in rows of 4 there is one extra person. When they line up in rows of 5 there are two extr

Question 1049067: The marching band has more than 100 members but fewer than 200 members. When they line up in rows of 4 there is one extra person. When they line up in rows of 5 there are two extra people. When they line up in rows of 7 there are 3 extra people. How many members are in the marching band?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of members of the marching band.
If the band enrolled more members,
they would have members.
Then, they could group there members in lines of 4, 5, or 7,
And they would have full, even lines.
That means that is a multiple of r, 5, and u.
The smallest such number is ,
and the other such numbers are multiples of 140, all much greater than 20p.
So, ,and
the band has members.
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