document.write( "Question 1205528: Bod wants to put his footballs into boxes.
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document.write( "If he uses big boxes, he can put 7 footballs in each box with 4 footballs left over.
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document.write( "If he uses small boxes, he can put 5 footballs in each box with 4 footballs left over.\r
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document.write( "What is the smallest number of footballs that Bob could own? \n" );
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Algebra.Com's Answer #842396 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The number of footballs is 4 more than a multiple of 7 and also 4 more than a multiple of 5. Since 5 and 7 are relatively prime, the number of footballs is 4 more than a multiple of 7*5=35. \n" ); document.write( "The smallest number that is 4 more than a multiple of 35 is 35(1)+4 = 35+4=39. \n" ); document.write( "That of course does not consider the absurd case where the number of footballs is 35(0)+4 = 4. \n" ); document.write( "ANSWER: 39 \n" ); document.write( " \n" ); document.write( " |