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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?

 Nov 5, 2019
 #1
avatar+2482 
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Look at guests answer below LOL I need more modulo practice

 Nov 5, 2019
edited by CalculatorUser  Nov 5, 2019
edited by CalculatorUser  Nov 5, 2019
edited by CalculatorUser  Nov 5, 2019
edited by CalculatorUser  Nov 5, 2019
 #2
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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.

 Nov 5, 2019
 #3
avatar+2482 
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Oops! Between 100 and 200.

 

A lesson learned... read the question carefully! laugh

CalculatorUser  Nov 5, 2019
 #4
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Sorry, I missed that too !!

 

So, 72 + 66 =138 members  in the band.

Guest Nov 5, 2019

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