document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177715>Question 177715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> #1.Paul invested his $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did he invest at each rate?\r<BR>\n" );
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document.write( "#2. Adult tickets were sold for $3 and student tickets sold at $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132719 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=132719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1.Paul invested his $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did he invest at each rate? <BR>\n" );
document.write( "Interest Equation:<BR>\n" );
document.write( "interest + interest = interest<BR>\n" );
document.write( "0.04x + 0.0225(33000-x) = 970<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "4x + 2.25(33000) -2.25x = 97000<BR>\n" );
document.write( "4x + 74250 - 2.25x = 97000<BR>\n" );
document.write( "1.75x = 22750<BR>\n" );
document.write( "x = 13000 (amt. invested at 4%)<BR>\n" );
document.write( "33000-x = 20,000 (amt. invested at 2.25%)<BR>\n" );
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document.write( "#2. Adult tickets were sold for $3 and student tickets sold at $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?<BR>\n" );
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document.write( "Since adult tickets are more numerous a = 2s<BR>\n" );
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document.write( "ValueEquation:<BR>\n" );
document.write( "2s + 3(2s) = 824<BR>\n" );
document.write( "8s = 824<BR>\n" );
document.write( "s = 103 (# of students tickets sold)<BR>\n" );
document.write( "a = 2s = 206 (# of adult tickets sold)<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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