document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530447>Question 530447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> oe has a collection of nickels and dimes that is worth $7.65. If the number of dimes was doubled and the number of nickels was increased by 35, the value of the coins would be $14.30. How many nickels and dimes does he have? </SPAN>\n" );
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document.write( "Joe has a collection of nickels and dimes that is worth $7.65. If the number of dimes was doubled and the number of nickels was increased by 35, the value of the coins would be $14.30. How many nickels and dimes does he have?\r<BR>\n" );
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document.write( "Let amount of dimes be D, and amount of nickels, N\r<BR>\n" );
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document.write( "Then: . 1(D) + .05(N) = 7.65 ------ 10D + 5N = 765 ----- Multiplying by 100 to clear decimals ----- eq (i)\r<BR>\n" );
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document.write( "Also, .1(2D) + .05(N + 35) = 14.3 ----- .2D + .05N + 1.75 = 14.3 ------- .2D + .05N = 12.55 ------- 20D + 5N = 1,255 ----- Multiplying by 100 to clear decimals ----- eq (ii)\r<BR>\n" );
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document.write( "10D + 5N = 765 ------- eq (i)<BR>\n" );
document.write( "20D + 5N = 1,255 ----- eq (ii) <BR>\n" );
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document.write( "- 10D = - 490 ----- Subtracting eq (ii) from (i)\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=%28-+490%29%2F-+10 ALIGN=MIDDLE  ALT=\"%28-+490%29%2F-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=490%2F10 ALIGN=MIDDLE  ALT=\"490%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2849%29 ALIGN=MIDDLE  ALT=\"highlight_green%2849%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "10(49) + 5N = 765 ------- Substituting 49 for D in eq (i)<BR>\n" );
document.write( "490 + 5N = 765<BR>\n" );
document.write( "5N = 765 – 490<BR>\n" );
document.write( "5N = 275\r<BR>\n" );
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document.write( "N, or amount of nickels = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=275%2F5 ALIGN=MIDDLE  ALT=\"275%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2855%29 ALIGN=MIDDLE  ALT=\"highlight_green%2855%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll leave the check up to you to perform.\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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