document.write( "Question 380481: Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes was doubled and the number of nickels was increased by 6, the value of the coins would be $9.90. How many dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #270055 by mananth(16946)\"\" \"About 
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let nickels be x
\n" ); document.write( "dimes = y
\n" ); document.write( "..
\n" ); document.write( "5x+10y=600
\n" ); document.write( "/5
\n" ); document.write( "x+2y=120...................1
\n" ); document.write( "..
\n" ); document.write( "dimes 2y
\n" ); document.write( "nickels increased by 6 = x+6
\n" ); document.write( "..
\n" ); document.write( "5(x+6)+10*2y=900
\n" ); document.write( "5x+30+20y=900
\n" ); document.write( "5x+20y=900-30
\n" ); document.write( "5x+20y=870
\n" ); document.write( "/5
\n" ); document.write( "x+4y=174......................2
\n" ); document.write( "...
\n" ); document.write( "multiply (1) by -1
\n" ); document.write( "-x-2y=-120
\n" ); document.write( "add this to (2)
\n" ); document.write( "x-x+4y-2y=174-120
\n" ); document.write( "2y=54
\n" ); document.write( "/2
\n" ); document.write( "y=27 the number of dimes
\n" ); document.write( "plug value of y in (1)
\n" ); document.write( "x+2y=120
\n" ); document.write( "x+54=120
\n" ); document.write( "x=66 -------- nickels
\n" ); document.write( "..
\n" ); document.write( "CHECK
\n" ); document.write( "5*66+10*27=330+270=600
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "
\n" );