document.write( "Question 357564: Please HELP!!!!\r
\n" ); document.write( "\n" ); document.write( "Peter Parker has a piggy that bank contains only nickels and dimes. The total value of the coins in Pete's bank is $2.75. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.25. Find the number of nickels in Parker's bank.
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Algebra.Com's Answer #255357 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
a piggy that bank contains only nickels and dimes.
\n" ); document.write( " The total value of the coins in Pete's bank is $2.75.
\n" ); document.write( " If the nickels were dimes and the dimes were nickels, the total value of the
\n" ); document.write( "coins would be $3.25.
\n" ); document.write( " Find the number of nickels:
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\n" ); document.write( "Let n = no. of nickels
\n" ); document.write( "Let d = no. of dimes
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"The total value of the coins in Pete's bank is $2.75.\"
\n" ); document.write( ".05n + .10d = 2.75
\n" ); document.write( ":
\n" ); document.write( "\"If the nickels were dimes and the dimes were nickels, the total value of the
\n" ); document.write( " coins would be $3.25.\"
\n" ); document.write( ".10n + .05d = 3.25
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\n" ); document.write( "Multiply the above equation by 2, subtract the 1st equation
\n" ); document.write( ".20n + .10d = 6.50
\n" ); document.write( ".05n + .10d = 2.75
\n" ); document.write( "-----------------------subtraction eliminates d, find n
\n" ); document.write( ".15n = 3.75
\n" ); document.write( "n = \"3.75%2F.15\"
\n" ); document.write( "n = 25 nickels
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\n" ); document.write( "Check solution:
\n" ); document.write( "find d using the 1st equation
\n" ); document.write( ".05(25) + .10d = 2.75
\n" ); document.write( "1.25 + .10d = 2.75
\n" ); document.write( ".10d = 2.75 - 1.25
\n" ); document.write( ".10d = 1.50
\n" ); document.write( "d = \"1.50%2F.10\"
\n" ); document.write( "d = 15 dimes
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\n" ); document.write( "Find the total using the 2nd equation
\n" ); document.write( ".10(25) + .05(15) =
\n" ); document.write( "2.50 + .75 = 3.25; confirms our solution\r
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