document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390414>Question 390414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Teresa is taking a vacation in Mexico. She wants to buy<BR>\n" );
document.write( "souvenirs that cost $10.00, $3.00, or $0.50. If she wants to<BR>\n" );
document.write( "spend exactly $100.00 and buy at least one of each type of<BR>\n" );
document.write( "souvenir, how many items at each price should she buy?\r<BR>\n" );
document.write( "\n" );
document.write( "I know to set it up  10(a) + 3 (b) + 1/2(c)= 100<BR>\n" );
document.write( "but how do I solve this type of equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276846 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Teresa is taking a vacation in Mexico. <BR>\n" );
document.write( "She wants to buy souvenirs that cost $10.00, $3.00, or $0.50. <BR>\n" );
document.write( "If she wants to spend exactly $100.00 <BR>\n" );
document.write( "and buy at least one of each type of<BR>\n" );
document.write( "souvenir, how many items at each price should she buy?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Value Eq.: 10a + 3b + (1/2)c = 100<BR>\n" );
document.write( "3b+(1/2)c must be a multiple of 10<BR>\n" );
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document.write( "Solve 3b+(1/2)c = 10k where k is a positive whole number.<BR>\n" );
document.write( "6b + c = 20k<BR>\n" );
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document.write( "Now 6b+c must be a multiple of 20.<BR>\n" );
document.write( "b = 3 and c = 2<BR>\n" );
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document.write( "If b = 3 that is $9<BR>\n" );
document.write( "If c = 2 that is $1<BR>\n" );
document.write( "Then a must be 9.<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========== <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );