document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040250>Question 1040250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 90 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $1.5 and total receipts for the concert was $163.5, how many of each went to the concert?\r<BR>\n" );
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document.write( "Ngoc invests a total of $22,000 in two accounts paying 8% and 11% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $1,835.00.\r<BR>\n" );
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document.write( " $ was invested at 8% and <BR>\n" );
document.write( "$ was invested at 11%.\r<BR>\n" );
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document.write( "Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 7164 dollars. How much did she invest at each rate? \r<BR>\n" );
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document.write( " Amount invested at 4 percent interest is $ <BR>\n" );
document.write( " Amount invested at 10 percent interest is $ \r<BR>\n" );
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document.write( "If 78 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $3 and total receipts for the concert was $267, how many of each went to the concert?\r<BR>\n" );
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document.write( " adults\r<BR>\n" );
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document.write( " children\r<BR>\n" );
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document.write( "If 90 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $1.5 and total receipts for the concert was $163.5, how many of each went to the concert?\r<BR>\n" );
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document.write( " adults\r<BR>\n" );
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document.write( " children\r<BR>\n" );
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document.write( "Alan invests $10700 in two different accounts. The first account paid 10 %, the second account paid 6 % in interest. At the end of the first year he had earned $858 in interest. How much was in each account?\r<BR>\n" );
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document.write( " $  at 10 %\r<BR>\n" );
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document.write( " $  at 6 %\r<BR>\n" );
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document.write( "Scott invests $9100 in two different accounts. The first account paid 12 %, the second account paid 10 % in interest. At the end of the first year he had earned $1028 in interest. How much was in each account?\r<BR>\n" );
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document.write( " $  at 12 %\r<BR>\n" );
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document.write( " $  at 10 %\r<BR>\n" );
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document.write( "Guadalupe invests $1100 in one account and $2500 in an account paying 1 % higher interest. At the end of one year she had earned $277 in interest. At what rates did she invest?\r<BR>\n" );
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document.write( " $1100 invested at %\r<BR>\n" );
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document.write( " $2500 invested at %\r<BR>\n" );
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document.write( "Your help i greatly appreciated.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655052 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=655052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a+c = 90 subtract c from both sides:<BR>\n" );
document.write( "a = 90-c<BR>\n" );
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document.write( "2.25a+1.50c = 163.50 substitute for a:<BR>\n" );
document.write( "2.25(90-c)+1.50c = 163.50<BR>\n" );
document.write( "202.5-2.25c+1.50c = 163.50<BR>\n" );
document.write( "-0.75c = -39<BR>\n" );
document.write( "c = 52 were children, and 90-52 = 38 were adults<BR>\n" );
document.write( "-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o<BR>\n" );
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document.write( "0.08x+0.11(22,000-x) = 1,835<BR>\n" );
document.write( "0.08x+2,420-0.11x = 1,835<BR>\n" );
document.write( "-0.03x = -585<BR>\n" );
document.write( "x = 19,500 is invested at 8% and 22,000-19,500 = 2,500 is invested at 11% <BR>\n" );
document.write( "-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o<BR>\n" );
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document.write( "0.04(2x)+0.10x = 7,164<BR>\n" );
document.write( "0.08x+0.10x = 7,164<BR>\n" );
document.write( "0.18x = 7,164<BR>\n" );
document.write( "x = 39,800 is invested at 4% and this is 2 times as much as she has invested at 10%: 39,800/2 = 19,900 is invested at 10% </SPAN>\n" );
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