The members of a band are arranged in a rectangular formation. When they are arranged in 8 rows, there are 2 positions unoccupied in the formation. When they are arranged in 9 rows, there are 3 positions unoccupied. How many members are in the band if the membership is between 100 and 200?
Look at guests answer below LOL I need more modulo practice
N mod 8 = 2
N mod 9 = 3
N =72 m + 66, where m=9, 1, 2, 3.........etc.
There are 66 members in the band.
Oops! Between 100 and 200.
A lesson learned... read the question carefully!