document.write( "Question 1026972: If I have 78 coins of all nickel and dimes and the value is $6.20. How many nickels and how many dimes do I have? \n" ); document.write( "
Algebra.Com's Answer #642281 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "I have 78 coins of all nickel and dimes.
\n" ); document.write( "Make nickels = x
\n" ); document.write( "Make dimes = y
\n" ); document.write( "x + y = 78.......(1)
\n" ); document.write( "the value is $6.20
\n" ); document.write( "5x + 10y = 620...(2)
\n" ); document.write( ".........
\n" ); document.write( "x + y = 78.......(1)
\n" ); document.write( "5x + 10y = 620...(2)
\n" ); document.write( "Multiply Eq(1) by 10
\n" ); document.write( "10x + 10y = 780...(1)
\n" ); document.write( "5x + 10y = 620....(2)
\n" ); document.write( "Subtract Eq(2) from Eq(1)
\n" ); document.write( "5x = 160
\n" ); document.write( "x = 32
\n" ); document.write( "Substitute x = 32 into Eq(1)
\n" ); document.write( "x + y = 78
\n" ); document.write( "32 + y = 78
\n" ); document.write( "y = 78 - 32
\n" ); document.write( "y = 46
\n" ); document.write( "You have 32 Nickels
\n" ); document.write( "and 46 Dimes.
\n" ); document.write( "Hope this helps :-)
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