document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200700>Question 200700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 92.)	Investing her bonus.  Donna invested her $33,000 bonus and received a total of $970 in interest after one year.  If part of the money returned 4% and the reminder 2.25% then how much did she invest at each rate?\r<BR>\n" );
document.write( "\n" );
document.write( "100.)Ticket of Sales.  Thickets for a concert were sold to adutls for $3.00 and to students for $2.00.  If the total receipts were $824.00 and twice as many adult 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 #150944 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Donna invested her $33,000 bonus and received a total of $970 in interest<BR>\n" );
document.write( " after one year. If part of the money returned 4% and the reminder 2.25% then<BR>\n" );
document.write( " how much did she invest at each rate?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x amt invested at 4%<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(33000-x) = amt invested at 2.25%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation using the decimal values for the rates:<BR>\n" );
document.write( ".04x + .0225(33000-x) = 970<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".04x + 742.5 - .0225x = 970<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".04x - .0225x = 970 - 742.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".0175x = 227.5<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=227.5%2F.0175 ALIGN=MIDDLE  ALT=\"227.5%2F.0175\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = $13,000 invested at 4%<BR>\n" );
document.write( "then<BR>\n" );
document.write( "33000 - 13000 = $20,000 invested at 2.25%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution;<BR>\n" );
document.write( ".04(13000) + .0225(20000) = <BR>\n" );
document.write( "520 + 450 =970<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "100.)Ticket of Sales. Tickets for a concert were sold to adults for $3.00<BR>\n" );
document.write( " and to students for $2.00. If the total receipts were $824.00 and twice as<BR>\n" );
document.write( " many adult tickets were sold, then how many of each were sold?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3a + 2s = 824<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"twice as many adult tickets were sold,\"<BR>\n" );
document.write( "a = 2s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Replace a with 2s in the 1st equation, find s<BR>\n" );
document.write( "3(2s) + 2s = 824<BR>\n" );
document.write( "6s + 2s = 824<BR>\n" );
document.write( "8s = 824<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=824%2F8 ALIGN=MIDDLE  ALT=\"824%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 103 students<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can find the no. of adults<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );