document.write( "Question 547498: A coin bank contains only dimes and quarters. The ToTal value of The coins in The bank is $3.70 . If the dimes were quarters and quarters were dimes, the total value of the coIns would be $2.95 . Find the number of quarters in the bank. \n" ); document.write( "
Algebra.Com's Answer #356399 by mananth(16946)\"\" \"About 
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dimes = x numbers
\n" ); document.write( "quarters = y numbers
\n" ); document.write( "convert $ to cents\r
\n" ); document.write( "\n" ); document.write( "10x+25y=370
\n" ); document.write( "25x+10y=295\r
\n" ); document.write( "\n" ); document.write( "dimes x
\n" ); document.write( "Quarters y
\n" ); document.write( "
\n" ); document.write( "10 x + 25 y = 370 .............1
\n" ); document.write( "25 x + 10 y = 295 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 2
\n" ); document.write( "Multiply (2) by -5
\n" ); document.write( "20 x 50 y = 740
\n" ); document.write( "-125 x + -50 y = -1475
\n" ); document.write( "Add the two equations
\n" ); document.write( "-105 x = -735.00
\n" ); document.write( "/ -105
\n" ); document.write( "x = 7
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "10 x + 25 y = 370
\n" ); document.write( "70 + 25 y = 370
\n" ); document.write( " 25 y = 370 -70
\n" ); document.write( " 25 y = 300
\n" ); document.write( " y = 12
\n" ); document.write( "dimes = 7
\n" ); document.write( "Quarters= 12
\n" ); document.write( "m.ananth@hotmail.ca \r
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