document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625312>Question 625312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 27 nickels, dimes, and quarters in the drawer with a value of $3. How many coins of each type are there if there are three times as many nickels as there are dimes? </SPAN>\n" );
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document.write( "There are 27 nickels, dimes, and quarters in the drawer with a value of $3. How many coins of each type are there if there are three times as many nickels as there are dimes?\r<BR>\n" );
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document.write( "Let amount of nickels, dimes, and quarters be N, D, and Q, respectively\r<BR>\n" );
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document.write( "Then: N + D + Q = 27\r<BR>\n" );
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document.write( "Also, N = 3D, since there are 3 times as many nickels as dimes\r<BR>\n" );
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document.write( "Substituting 3D for N, we now have: 3D + D + Q = 27, or 4D + Q = 27 ----- eq (i)\r<BR>\n" );
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document.write( "Also, .05(3D) + .1(D) + .25(Q) = 3 ---- .15D + .1D + .25Q = 3 ---- .25D + .25Q = 3 ---- eq (ii)\r<BR>\n" );
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document.write( "4D + Q = 27 ----- eq (i)<BR>\n" );
document.write( "- 4D - 4Q = - 48 ---- Multiplying eq (ii) by - 16 ----- eq (iii)<BR>\n" );
document.write( "- 3Q = - 21 ------ Adding eqs (iii) & (i)\r<BR>\n" );
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document.write( "Q, or amount of quarters = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-+21%29%2F-+3 ALIGN=MIDDLE  ALT=\"%28-+21%29%2F-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287%29 ALIGN=MIDDLE  ALT=\"highlight_green%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4D + 7 = 27 ------ Substituting 7 for Q in eq (i)\r<BR>\n" );
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document.write( "4D = 20\r<BR>\n" );
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document.write( "D, or amount of dimes = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F4 ALIGN=MIDDLE  ALT=\"20%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285%29 ALIGN=MIDDLE  ALT=\"highlight_green%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since there are 5 dimes, then there are 3 * 5, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2815%29 ALIGN=MIDDLE  ALT=\"highlight_green%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > nickels\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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