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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\n" ); document.write( "\n" ); document.write( "I know I have to make 3 equations\r
\n" ); document.write( "\n" ); document.write( "N + D + Q= 2.35\r
\n" ); document.write( "\n" ); document.write( "D= N +2 ( I think)\r
\n" ); document.write( "\n" ); document.write( "Not sure on the third one.
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Algebra.Com's Answer #109039 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
You're on the right track amigo, and we'll help you along the way.
\n" ); document.write( "To continue, we mark the following eqns okay,
\n" ); document.write( "> There are 2 more dimes than nickels, \"D=N%2B2\" -------> eqn 1
\n" ); document.write( "> Since the total coins is 19, so \"N%2BD%2BQ=19\" -------> eqn 2
\n" ); document.write( "> Then, when we multiply each coin to their value and add them up we get $2.35,
\n" ); document.write( "to show, \"0.05N%2B0.10D%2B0.25Q=2.35\" ---------> eqn 3
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\n" ); document.write( "We substitute \"D\" from eqn 1 to eqn 2 we get, \"N%2BN%2B2%2BQ=19\", and from this eqn we get \"Q=19-2N-2=17-2N\" ----> eqn 4
\n" ); document.write( "Now we substitute value of \"D\" from eqn 1, also of \"Q\" from eqn 4 to eqn 3:
\n" ); document.write( "\"0.05N%2B0.10highlight%28N%2B2%29%2B0.25highlight%2817-2N%29=2.35\"
\n" ); document.write( "\"0.05N%2B0.10N%2B0.20%2B4.25-0.50N=2.35\"
\n" ); document.write( "\"0.15N%2B4.45-0.50N=2.35\"
\n" ); document.write( "\"4.45-2.35=0.50N-0.15N\"
\n" ); document.write( "\"2.10=0.35N\" --------------> \"N=6\", # of nickels
\n" ); document.write( "For # of dimes go back eqn 1,
\n" ); document.write( "D=6+2= 8
\n" ); document.write( "For # of quarters go back eqn 2,
\n" ); document.write( "Q=19-8-6= 5
\n" ); document.write( "In doubt? go back to eqn 3,
\n" ); document.write( "\"0.05%2A6%2B0.10%2A8%2B0.25%2A5=2.35\"
\n" ); document.write( "\"0.30%2B0.80%2B1.25=2.35\"
\n" ); document.write( "\"2.35=2.35\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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