HELP ASAP!

when colonel bill counts his army's soldiers, he uses the following method. He orders them to lineup in rows of 11, then in rows of 13, and finally in rows of 17. Each time he counts the number of soldiers not in a row. One morning he finds that there are 3 soldiers left out when the rest are in rows of 11, 4 left in rows of 13, and 9 left in rows of 17. He knows that there are 1,000 soldiers in his army. How many soldiers are present this morning?

11 soldiers leaces

Question

HELP ASAP!

when colonel bill counts his army's soldiers, he uses the following method. He orders them to lineup in rows of 11, then in rows of 13, and finally in rows of 17. Each time he counts the number of soldiers not in a row. One morning he finds that there are 3 soldiers left out when the rest are in rows of 11, 4 left in rows of 13, and 9 left in rows of 17.  He knows that there are 1,000 soldiers in his army. How many soldiers are present this morning?

11 soldiers leaces

anonymous · Answer

Sorry for any confusion, the line at the bottom that says "11 soldiers leaces" is irrelevant. Thank You for your help!

paxpolaris · Answer

927

anonymous · Answer

@PaxPolaris Can you help me with how you got that answer, please?

paxpolaris · Answer

no idea ... i cheated ... unless this is a computing question?

anonymous · Answer

@Pax Polaris What did you do? (to cheat?)

paxpolaris · Answer

you could write a computer program i suppose... to test every n, when n<1000, 
such that 
   * n-3 is divisible by 11
   * n-4 is  divisible by 13
   * n-9 is divisible by 17

I just used MS excel

anonymous · Answer

I don't have any idea what that means, I'm 13..

paxpolaris · Answer

attachment

anonymous · Answer

@paxpolaris okay..

paxpolaris · Answer

Is the question from a specific chapter or sub-section

anonymous · Answer

no. it's something my teacher composed.

anonymous · Answer

@PaxPolaris *see above message*