document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765394>Question 765394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3) Aaron has two times as many pennies as nickles. If Aaron had nine more nickles and seven fewer pennies, he would have the same number of each coin. How many money does he have?\r<BR>\n" );
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document.write( " 7) Jasmine's dimes and nickles total $5.25. If the dimes were replaced by nickles and nickles were replaced by dimes, then she would have $7.50. How many of each coin does she have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466256 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=466256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3) Aaron has two times as many pennies as nickles.<BR>\n" );
document.write( " If Aaron had nine more nickles and seven fewer pennies, he would <BR>\n" );
document.write( "have the same number of each coin.<BR>\n" );
document.write( " How many money does he have?<BR>\n" );
document.write( "Let p = no. pennies<BR>\n" );
document.write( "Let n = no. of nickels<BR>\n" );
document.write( "Write an equation for what it says<BR>\n" );
document.write( "\"Aaron has two times as many pennies as nickles.\"<BR>\n" );
document.write( "p = 2n<BR>\n" );
document.write( "\"If Aaron had nine more nickles and seven fewer pennies, he would have the same number of each coin.\"<BR>\n" );
document.write( "n + 9 = p - 7<BR>\n" );
document.write( "Replace p with 2n<BR>\n" );
document.write( "n + 9 = 2n - 7<BR>\n" );
document.write( "9 + 7 = 2n - n<BR>\n" );
document.write( "16 = n, sixteen nickels<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2(16) = 32 pennies<BR>\n" );
document.write( "You can check this yourself in the 2nd equation<BR>\n" );
document.write( ":<BR>\n" );
document.write( "7) Jasmine's dimes and nickles total $5.25.<BR>\n" );
document.write( "If the dimes were replaced by nickles and nickles were replaced<BR>\n" );
document.write( " by dimes, then she would have $7.50.<BR>\n" );
document.write( "How many of each coin does she have?<BR>\n" );
document.write( "let x = no. nickels<BR>\n" );
document.write( "let y = no. of dimes<BR>\n" );
document.write( "Write an equation for each scenario<BR>\n" );
document.write( ".05x + .10y = 5.25<BR>\n" );
document.write( ".10x + .05y = 7.50<BR>\n" );
document.write( "multiply the 1st equation by 2, subtract the 2nd<BR>\n" );
document.write( ".10x + .20y = 10.50<BR>\n" );
document.write( ".10x + .05y = 7.50<BR>\n" );
document.write( "----------------------Subtraction eliminates x, find y<BR>\n" );
document.write( "0 + .15y = 3.00<BR>\n" );
document.write( "y = 3.00/.15<BR>\n" );
document.write( "y = 20 dimes<BR>\n" );
document.write( "Find x<BR>\n" );
document.write( ".05x + .10(20) = 5.25<BR>\n" );
document.write( ".05x = 5.25 - 2<BR>\n" );
document.write( ".05x = 3.25<BR>\n" );
document.write( "x = 3.25/.05<BR>\n" );
document.write( "x = 65 nickels<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you check this solution.  </SPAN>\n" );
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