document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205528>Question 1205528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bod wants to put his footballs into boxes.<BR>\n" );
document.write( "If he uses big boxes, he can put 7 footballs in each box with 4 footballs left over.<BR>\n" );
document.write( "If he uses small boxes, he can put 5 footballs in each box with 4 footballs left over.\r<BR>\n" );
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document.write( "What is the smallest number of footballs that Bob could own? </SPAN>\n" );
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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.<br><BR>\n" );
document.write( "The smallest number that is 4 more than a multiple of 35 is 35(1)+4 = 35+4=39.<br><BR>\n" );
document.write( "That of course does not consider the absurd case where the number of footballs is 35(0)+4 = 4.<br><BR>\n" );
document.write( "ANSWER: 39<br><BR>\n" );
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