document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=318765>Question 318765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Sam is 10 years older than Jack. Twice Sam's age subtracted from 6 times Jack's age is 7 more than Jack's age. Find Jack and Sam's age.\r<BR>\n" );
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document.write( "2. Separate 65 into two parts such that 3 times the larger will be 6 more than 6 times the smaller. (HINT: let x and 65-x represent your two numbers)\r<BR>\n" );
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document.write( "3. Gill has $3.75 is quarters, dimes, and nickels. He has twice as many quarters as dimes and three more dimes than nickels. Find how much of each coin Bill has. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #228184 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=228184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Sam is 10 years older than Jack. Twice Sam's age subtracted from 6 times Jack's age is 7 more than Jack's age. Find Jack and Sam's age.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "s = j+10<BR>\n" );
document.write( "6j-2s = j+7<BR>\n" );
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document.write( "Substitute for \"s\" and solve for \"j\".<BR>\n" );
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document.write( " <BR>\n" );
document.write( "2. Separate 65 into two parts such that 3 times the larger will be 6 more than 6 times the smaller. (HINT: let x and 65-x represent your two numbers)<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "You don't know which is larger so use either as the largest.<BR>\n" );
document.write( "3x =6(65-x)+6<BR>\n" );
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document.write( " <BR>\n" );
document.write( "3. Gill has $3.75 is quarters, dimes, and nickels. He has twice as many quarters as dimes and three more dimes than nickels. Find how much of each coin Bill has.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "q = 2d<BR>\n" );
document.write( "d = n+3<BR>\n" );
document.write( "5n + 10d + 25q = 375 cents<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Substitute for \"d\" and for \"n\" and solve for \"q\":<BR>\n" );
document.write( "d = q/2<BR>\n" );
document.write( "n = d-3 = (q/2)-3<BR>\n" );
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document.write( "5[(q/2)-3] + 10(q/2) + 25q = 375<BR>\n" );
document.write( "(5/2)q - 15 + 5q + 25q = 375<BR>\n" );
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document.write( "Multiply thru by 2 to get:<BR>\n" );
document.write( "5q - 30 + 60q = 750<BR>\n" );
document.write( "65q = 780<BR>\n" );
document.write( "q = 12<BR>\n" );
document.write( "d = 6<BR>\n" );
document.write( "n = 3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========================== </SPAN>\n" );
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