document.write( "Question 338853: In summer camp, counselors split the campers into 3,5 or 6 equal groups, but always ended up with 1 extra camper. Today, they split the campers into 7 equal sized groups, and no campers were left over. What is the smallest number of campers at this camp? \n" ); document.write( "
Algebra.Com's Answer #242890 by ankor@dixie-net.com(22740)\"\" \"About 
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In summer camp, counselors split the campers into 3,5 or 6 equal groups,
\n" ); document.write( " but always ended up with 1 extra camper.
\n" ); document.write( "Today, they split the campers into 7 equal sized groups, and no campers were left over.
\n" ); document.write( "What is the smallest number of campers at this camp?
\n" ); document.write( ":
\n" ); document.write( "Find a number that is a multiple of 7 that is 1 more than a multiple of 5
\n" ); document.write( "the units digit will be 1 or 6
\n" ); document.write( "Divide that by 6 to see if the remainder is 1 (this also takes care of 3)
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\n" ); document.write( "Multiple of 7, 49, 56, 63, 70, 77, 84, 91 Bingo!
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\n" ); document.write( "91/7 = 13
\n" ); document.write( "91/6 = 15 Remainder 1
\n" ); document.write( "91/5 = 18 remainder 1
\n" ); document.write( "91/3 = 30 remainder 1
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