document.write( "Question 148698: Mike has 19 coins (Nickels, Dimes and quarters) in his piggy bank with a total value of $2.35. There are 2 more dimes than nickels. How many of each type of coins does mike have?\r
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document.write( "I know I have to make 3 equations\r
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document.write( "N + D + Q= 2.35\r
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document.write( "D= N +2 ( I think)\r
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document.write( "Not sure on the third one. \n" );
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Algebra.Com's Answer #109038 by oscargut(2103)![]() ![]() You can put this solution on YOUR website! 1 Nickel =0.05 N= number of nickels \n" ); document.write( "1 Dimes =0.1 D= number of dimes \n" ); document.write( "1 quarter =0.25 Q=number of quarters\r \n" ); document.write( "\n" ); document.write( "Mike has 19 coins then \r \n" ); document.write( "\n" ); document.write( "N+D+Q=19\r \n" ); document.write( "\n" ); document.write( "total value of $2.35 then\r \n" ); document.write( "\n" ); document.write( " 0.05N+0.1D+0.25Q=2.35\r \n" ); document.write( "\n" ); document.write( "There are 2 more dimes than nickels then\r \n" ); document.write( "\n" ); document.write( " D=N+2\r \n" ); document.write( "\n" ); document.write( "3 equations are: \n" ); document.write( "N+D+Q=19 \n" ); document.write( "0.05N+0.1D+0.25Q=2.35 \n" ); document.write( "D=N+2\r \n" ); document.write( "\n" ); document.write( "using the third eq in 1 and 2\r \n" ); document.write( "\n" ); document.write( "N+N+2+Q=19 \n" ); document.write( "0.05N+0.1(N+2)+0.25Q=2.35\r \n" ); document.write( "\n" ); document.write( "2N+Q=17 then Q=17-2N \n" ); document.write( "0.15N+0.25Q=2.15\r \n" ); document.write( "\n" ); document.write( "0.15N+0.25(17-2N)=2.15\r \n" ); document.write( "\n" ); document.write( "0.15N+4.25-0.5N=2.15\r \n" ); document.write( "\n" ); document.write( "-0.35N=-2.1\r \n" ); document.write( "\n" ); document.write( "N=2.1/0.35=6\r \n" ); document.write( "\n" ); document.write( "Q=17-2(6)=5\r \n" ); document.write( "\n" ); document.write( "D=19-5-6=8\r \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "N=6,D=8,Q=5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |