document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121102>Question 1121102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A grocery stores sells tomatoes in boxes of 4 or 10. If a shopper buys x boxes of 4 and y <BR>\n" );
document.write( "boxes of 10, where x &#8805; 1 and y &#8805;  1, for a total of 60 tomatoes, what is one possible value of x? </SPAN>\n" );
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document.write( "Informally....<br><BR>\n" );
document.write( "The total number of tomatoes is a multiple of 10; and y boxes of 10 each will be a number of tomatoes that is a multiple of 10.  Therefore, the total number of tomatoes in the boxes of 4 each must be a multiple of 10.<br><BR>\n" );
document.write( "Multiples of 4 that are multiples of 10, and less than or equal to 60, are 0, 20, 40, and 60.<br><BR>\n" );
document.write( "So the possible numbers of boxes of 4 is 0, 5, 10, or 15.<br><BR>\n" );
document.write( "15 boxes of 4 each would mean 0 boxes of 10 each.  Since the problem specifies having at least one box of each size, the possible numbers of boxes of 4 each are 5 and 10.<br><BR>\n" );
document.write( "Answer: the 2 possible values for x are 5 and 10.<br><BR>\n" );
document.write( "The same process, using the formal mathematical method....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B10y+=+60 ALIGN=MIDDLE  ALT=\"4x%2B10y+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve for y:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10y+=+60-4x ALIGN=MIDDLE  ALT=\"10y+=+60-4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+6+-+%282%2F5%29x ALIGN=MIDDLE  ALT=\"y+=+6+-+%282%2F5%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "y must be a positive integer; and 6 is an integer.  That means(2/5)x must be an integer; and that means x must be a multiple of 5.<br><BR>\n" );
document.write( "The conditions of the problem say x must be a positive integer, and that the value of x must be less than 15.  Since we have determined that it also must be a multiple of 5, the only 2 possible values of x are 5 and 10. </SPAN>\n" );
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