document.write( "Question 895738: letty has $5 in nickels, dimes and quarters. She has 3 times as many nickels as dimes. She has 5 times as much money in quarters as she does in nickels. How many of each does she have? \n" ); document.write( "
Algebra.Com's Answer #542991 by josgarithmetic(39618)\"\" \"About 
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The count of each coin assigned variables n,d, q.\r
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\n" ); document.write( "\n" ); document.write( "\"0.05n%2B0.1d%2B0.25q=5\", accounts for dollar money quantity and should be simplified;
\n" ); document.write( "\"n%2B2d%2B5q=100\".\r
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\n" ); document.write( "\n" ); document.write( "\"n%2Fd=3\" according to description, so \"n=3d\".\r
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\n" ); document.write( "\n" ); document.write( "\"0.25q%2F%280.05n%29=5\" according to description, so \"5q%2Fn=5\", \"q%2Fn=1\" meaning \"q=n\".\r
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\n" ); document.write( "\n" ); document.write( "System to solve is this:\r
\n" ); document.write( "\n" ); document.write( "\"highlight_green%28system%28n%2B2d%2B5q=100%2Cn=3d%2Cq=n%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "More than one solution path you can take.\r
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\n" ); document.write( "\n" ); document.write( "Substitute for n:
\n" ); document.write( "\"q%2B2d%2B5q=100\"
\n" ); document.write( "\"2d%2B6q=100\"
\n" ); document.write( "\"d%2B3q=50\"
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\n" ); document.write( "\"q=3d\", when substitute for n in the second equation of the listed system.\r
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\n" ); document.write( "\n" ); document.write( "System now after eliminating n is:
\n" ); document.write( "\"highlight%28system%28d%2B3q=50%2Cq=3d%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Continuing,
\n" ); document.write( "\"d%2B3%283d%29=50\"
\n" ); document.write( "\"d%2B9d=50\"
\n" ); document.write( "\"10d=50\"
\n" ); document.write( "\"highlight%28d=5%29\"\r
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\n" ); document.write( "\n" ); document.write( "You can work through the other equations to solve for n and q.\r
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\n" ); document.write( "\n" ); document.write( "n=15, and therefore q=15.
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