document.write( "Question 549651: A collection of 40 coins consisting of dimes and quarters has a value of $5.95. Find the number of each kind of coin. \n" ); document.write( "

Algebra.Com's Answer #357999 by mananth(16946) $\"\"$ $\"About$

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dimes ----x
\n" ); document.write( "quarters --y\r
\n" ); document.write( "\n" ); document.write( "x+y=40
\n" ); document.write( "10x+25y=595\r
\n" ); document.write( "\n" ); document.write( " x numbers dimes
\n" ); document.write( " y numbers quarters
\n" ); document.write( "
\n" ); document.write( "x +y=40 .............1
\n" ); document.write( "10 x + 25 y = 595 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -25
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "-25 x -25 y = -1000
\n" ); document.write( "10 x + 25 y = 595
\n" ); document.write( "Add the two equations
\n" ); document.write( "-15 x = -405.00
\n" ); document.write( "/ -15
\n" ); document.write( "x = 27
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + y = 40
\n" ); document.write( "27 + y = 40
\n" ); document.write( " y = 40
\n" ); document.write( " y = 13
\n" ); document.write( " y = 13
\n" ); document.write( "dimes 27
\n" ); document.write( "quarters 13
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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