document.write( "Question 370326: 1. There are 40 dimes and quarters in the drawer. Peggy counted them and found that their total value was $4.75. How many coins of each type were there?\r
\n" ); document.write( "\n" ); document.write( "That is the question, I know you need to make a chart with dimes, quarters, values, ect.. But I cant seem to set up the chart. Please Help?
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Algebra.Com's Answer #263943 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You don't need to make a chart.\r
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\n" ); document.write( "\n" ); document.write( "Since \"There are 40 dimes and quarters in the drawer\", we know that \"d%2Bq=40\" where 'd' is the number of dimes and 'q' is the number of quarters.\r
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\n" ); document.write( "\n" ); document.write( "Also, because \"their total value was $4.75\", this means that \"0.10d%2B0.25q=4.75\"\r
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\n" ); document.write( "\n" ); document.write( "So solving the system \r
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\n" ); document.write( "\n" ); document.write( "\"system%28d%2Bq=40%2C0.10d%2B0.25q=4.75%29\"\r
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\n" ); document.write( "\n" ); document.write( "will give you the number of dimes and quarters.\r
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\n" ); document.write( "\n" ); document.write( "\"0.10d%2B0.25q=4.75\" Start with the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"10d%2B25q=475\" Multiply EVERY term by 100 to make every number a whole number.\r
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\n" ); document.write( "\n" ); document.write( "\"d%2Bq=40\" Move back to the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"d=40-q\" Subtract 'q' from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"10d%2B25q=475\" Go back the to the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"10%2840-q%29%2B25q=475\" Plug in \"d=40-q\"\r
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\n" ); document.write( "\n" ); document.write( "\"400-10q%2B25q=475\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"15q%2B400=475\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"15q=475-400\" Subtract \"400\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"15q=75\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"q=%2875%29%2F%2815%29\" Divide both sides by \"15\" to isolate \"q\".\r
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\n" ); document.write( "\n" ); document.write( "\"q=5\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So this means that there are 5 quarters.\r
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\n" ); document.write( "\n" ); document.write( "\"d=40-q\" Now move onto the equation where we've isolated 'd'.\r
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\n" ); document.write( "\n" ); document.write( "\"d=40-5\" Plug in \"q=5\"\r
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\n" ); document.write( "\n" ); document.write( "\"d=35\" Subtract\r
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\n" ); document.write( "\n" ); document.write( "So there are 35 dimes.
\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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