document.write( "Question 889185: bobs bank contains only nickels, dimes and quarters. there are 51 coins in all valued at 4.15. the number of nickels is 5 short of being three times the sum of the number of dimes and quarters. how many dimes are in the bank \n" ); document.write( "
Algebra.Com's Answer #537973 by josgarithmetic(39620)\"\" \"About 
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n+d+q=51;
\n" ); document.write( "n=-5+3(d+q);
\n" ); document.write( "0.05n+0.10d+0.25q=4.15.\r
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\n" ); document.write( "\n" ); document.write( "Simplify two of the equations.
\n" ); document.write( "n=-5+3d+3q
\n" ); document.write( "n-3d-3q=-5.
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\n" ); document.write( "n+2d+5q=83.\r
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\n" ); document.write( "\n" ); document.write( "Solve the system:
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\n" ); document.write( "n+d+q=51
\n" ); document.write( "-
\n" ); document.write( "n-3d-3q=-5
\n" ); document.write( "-
\n" ); document.write( "n+2d+5q=83
\n" ); document.write( "---------------------\r
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\n" ); document.write( "\n" ); document.write( "One method to start can be add three times the \"51\" equation to the second equation and quickly get a value for n.
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