document.write( "Question 157309: A collecton of 197 coins consists of nickels, dimes, and quarters. The number if dimes is 2 more than one-third the number of nickels, and the number of quarters is three times the number of dimes. How many dimes are there?\r
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\n" ); document.write( "\n" ); document.write( "I did some work but I cant figure it out
\n" ); document.write( "D+N+Q=197
\n" ); document.write( "D=1/3N+2 3D=N+6
\n" ); document.write( "Q=3D\r
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Algebra.Com's Answer #115949 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"D%2BN%2BQ=197\" Start with the first equation\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F3%29N%2B2%2BN%2B3D=197\" Plug in \"D=%281%2F3%29N%2B2\" and \"Q=3D\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F3%29N%2B2%2BN%2B3%28%281%2F3%29N%2B2%29=197\" Plug in \"D=%281%2F3%29N%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F3%29N%2B2%2BN%2B3%28%281%2F3%29N%29%2B3%282%29=197\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F3%29N%2B2%2BN%2BN%2B6=197\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F3%29N%2B2N%2B8=197\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"N%2B6N%2B24=591\" Multiply EVERY term by the LCD 3 to clear out the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"7N%2B24=591\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "From here you have a simple linear equation. Once you have N, plug this into the second equation to get D. Finally, plug D into the third equation to get Q. Let me know if you need any further help. \r
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\n" ); document.write( "\n" ); document.write( "Note: you should get D=29, N=81, and Q=87 as an answer.
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