document.write( "Question 480609: Megan has a total of 26 coins. The coins are dimes and nickles and have a total value of $2.20. how many of each coin does she have?
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Algebra.Com's Answer #329135 by emargo19(101) $\"\"$ $\"About$

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let dimes= d
\n" ); document.write( "value of dimes= 10d
\n" ); document.write( "let nickels=n
\n" ); document.write( "value of nickels=5n\r
\n" ); document.write( "\n" ); document.write( " $\"d%2Bn=26\"$ ---eq(1)\r
\n" ); document.write( "\n" ); document.write( "Convert $2.20 into cents so it is all in the same units. So as 1 dollar=100 cents.
\n" ); document.write( "2.20*100=220 cents
\n" ); document.write( " $\"10d%2B5n=220\"$ -----eq(2)\r
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\n" ); document.write( "\n" ); document.write( " $\"d%2Bn=26\"$ ----eq(1) multiply by 5
\n" ); document.write( " $\"5d%2B5n=120\"$ ------eq(1)
\n" ); document.write( " $\"10d%2B5n=220\"$ -----eq(2)
\n" ); document.write( " change the signs for the eq(2)\r
\n" ); document.write( "\n" ); document.write( "So
\n" ); document.write( " $\"5d%2B5n=120\"$ ------eq(1)
\n" ); document.write( " $\"-10d-5n=-220\"$ -----eq(2)
\n" ); document.write( "--------------------
\n" ); document.write( " $\"-5n\"$ = $\"-100\"$
\n" ); document.write( " $\"n=20\"$ \r
\n" ); document.write( "\n" ); document.write( "Substitute n=20 in eq (1)\r
\n" ); document.write( "\n" ); document.write( " $\"d%2B20=26\"$
\n" ); document.write( " $\"d=6\"$ \r
\n" ); document.write( "\n" ); document.write( "There are 20 nickels and 6 dimes\r
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