document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060028>Question 1060028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Shari has 17 coins consisting of dimes and quarters worth $3.35. How many quarters and how many dimes 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 #675062 by </B><A HREF=/tutors/aboutme.mpl?userid=acw1213><B>acw1213(28)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=acw1213><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=acw1213><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let \"d\" represent the amount of dimes Shari has.<BR>\n" );
document.write( "Let \"q\" represent the amount of quarters Shari has.\r<BR>\n" );
document.write( "\n" );
document.write( "The amount a dime and a quarter can be represented by decimals.\r<BR>\n" );
document.write( "\n" );
document.write( ".10 = a dime<BR>\n" );
document.write( ".25 = a quarter\r<BR>\n" );
document.write( "\n" );
document.write( "Write a systems of equations and solve.\r<BR>\n" );
document.write( "\n" );
document.write( ".10d + .25q = 3.35<BR>\n" );
document.write( "d + q = 17\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I'm going to solve this using the substitution method.\r<BR>\n" );
document.write( "\n" );
document.write( "d + q = 17<BR>\n" );
document.write( "subtract \"q\" from both sides\r<BR>\n" );
document.write( "\n" );
document.write( "d = 17 - q\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute 17 - q for \"d\" in the first equation.\r<BR>\n" );
document.write( "\n" );
document.write( ".10(17 - q) + .25q = 3.35\r<BR>\n" );
document.write( "\n" );
document.write( "Distribute\r<BR>\n" );
document.write( "\n" );
document.write( "1.7 - .10q + .25q = 3.35\r<BR>\n" );
document.write( "\n" );
document.write( "Combine like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1.7 + 0.15q = 3.35\r<BR>\n" );
document.write( "\n" );
document.write( "Solve for \"q\"\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 1.7 on both sides\r<BR>\n" );
document.write( "\n" );
document.write( "0.15q = 1.65\r<BR>\n" );
document.write( "\n" );
document.write( "Divide by 0.15 on both sides\r<BR>\n" );
document.write( "\n" );
document.write( "She has 11 quarters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Plug in 11 for \"q\" in the second equation.\r<BR>\n" );
document.write( "\n" );
document.write( "d + 11 = 17\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 11 on both sides\r<BR>\n" );
document.write( "\n" );
document.write( "d = 6\r<BR>\n" );
document.write( "\n" );
document.write( "She has 11 quarters and 6 dimes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );