document.write( "Question 87978: there are 155 coin nickels,dimes, quarters= 24.95 the number of dimes is t more than twice the number of nickels \n" ); document.write( "
Algebra.Com's Answer #63903 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation for each phrase:
\n" ); document.write( ":
\n" ); document.write( "\"there are 155 coin nickels,dimes, quarters\"
\n" ); document.write( "n + d + q = 155
\n" ); document.write( ":
\n" ); document.write( "\"nickels, dimes, quarters = 24.95 \"
\n" ); document.write( ".05n + .10d + .25q = 24.95
\n" ); document.write( ":
\n" ); document.write( "\"the number of dimes is two more than twice the number of nickels\"
\n" ); document.write( " d = 2n + 2
\n" ); document.write( ":
\n" ); document.write( "Replace (2n+2) for d in the coin# and $amt equations:
\n" ); document.write( ":
\n" ); document.write( "1st equation:
\n" ); document.write( "n + (2n+2) + q = 155
\n" ); document.write( "3n + 2 + q = 155
\n" ); document.write( "3n + q = 155 - 2
\n" ); document.write( "3n + q = 153
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\n" ); document.write( "2nd Equation
\n" ); document.write( ".05n + .10(2n+2) + .25q = 24.95
\n" ); document.write( ".05n + .2n + .2 + .25q = 24.95
\n" ); document.write( ".25n + .25q = 24.95 - .2
\n" ); document.write( ".25n + .25q = 24.75
\n" ); document.write( ":
\n" ); document.write( "Multiply the 2nd equation by 4 and subtract from the 1st equation
\n" ); document.write( "3n + q = 153
\n" ); document.write( "1n + q = 99
\n" ); document.write( "-------------subtracting eliminates q
\n" ); document.write( "2n = 54
\n" ); document.write( "n = 54/2
\n" ); document.write( "n = 27 nickels
\n" ); document.write( ":
\n" ); document.write( "Given d = 2n+2
\n" ); document.write( "d = 2(27) + 2
\n" ); document.write( "d = 56 dimes
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\n" ); document.write( "Find q using the coin# equation
\n" ); document.write( "27 + 56 + q = 155
\n" ); document.write( "q = 155 - 83
\n" ); document.write( "q = 72 quarters
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\n" ); document.write( "Check solution using $amt equation:
\n" ); document.write( ".05(27) + .10(56) + .25(72) = 24.95
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