document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120493>Question 120493</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072538953/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> If someone can help explain these two word problems in explicit detail I would greatly appreciate it!!!! \r<BR>\n" );
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document.write( "1. 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 remainder 2.25%, then how much did she invest at each rate? \r<BR>\n" );
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document.write( "2. Tickets for a concert were sold to adults for $3 and to students for $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 #88318 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=88318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. 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 remainder 2.25%, then how much did she invest at each rate?<BR>\n" );
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document.write( "Let amt. at 4% be \"x\" ; interest on this is 0.04x dollars<BR>\n" );
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document.write( "Amt at 2.25% is \"33000-x\" ; interest is 0.0225(33000-x)= 742.50-0.0225x dollars<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "interest + interest = 970 dollars <BR>\n" );
document.write( "0.04x + 742.50-0.0225x = 970<BR>\n" );
document.write( "0.0175x = 227.50<BR>\n" );
document.write( "x = 13000 (amt invested at 4%)<BR>\n" );
document.write( "33000-x = 20000 (amt invested at 2.25%)<BR>\n" );
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document.write( "2. Tickets for a concert were sold to adults for $3 and to students for $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( "Let # of adult tiks sold be \"2x\" ; value = 3*2x = 6x dollars<BR>\n" );
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document.write( "# of stud tiks sold is \"x\" ; value is 2x dollars<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "value + value = 824<BR>\n" );
document.write( "6x + 2x = 824<BR>\n" );
document.write( "8x = 824<BR>\n" );
document.write( "x = 103 (# of student tickets sold)<BR>\n" );
document.write( "2x = 206 (# of adult tickets sold) <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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