document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116413>Question 1116413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Roland has in his coin purse quarters and $1 coins. He has four more quarters than dollar coins and the total value of the coins is $4.75. How many of each does Roland have? </SPAN>\n" );
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document.write( "(1) set aside the 4 \"extra\" quarters.  Now he has equal numbers of dollar coins and quarters, and the total value is $4.75-$1 = $3.75.<br><BR>\n" );
document.write( "(2) one dollar coin and one quarter have a total value of $1.25.  $3.75 is 3 times $1.25, so he has 3 dollar coins and 3 quarters.<br><BR>\n" );
document.write( "(3) bring back the 4 \"extra\" quarters.  He now has the full total of $4.75, consisting of 3 dollar coins and 3+4=7 quarters.<br><BR>\n" );
document.write( "Algebraically....<br><BR>\n" );
document.write( "let x = number of dollar coins<BR>\n" );
document.write( "then x+4 = number of quarters<br><BR>\n" );
document.write( "The total value of the coins is $4.75, or 475 cents:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28100%29%2B%28x%2B4%29%2825%29+=+475 ALIGN=MIDDLE  ALT=\"x%28100%29%2B%28x%2B4%29%2825%29+=+475\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x%2B25x%2B100+=+475 ALIGN=MIDDLE  ALT=\"100x%2B25x%2B100+=+475\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125x+=+375 ALIGN=MIDDLE  ALT=\"125x+=+375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number of dollar coins is x = 3; the number of quarters is x+4 = 3+4 = 7.<br><BR>\n" );
document.write( "Note that the formal algebraic solution uses exactly the same arithmetic as the informal solution.... </SPAN>\n" );
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