document.write( "Question 266930: Translate the problem into a pair of linear equations in two variables. Solve using elimination or substitution. \r
\n" ); document.write( "\n" ); document.write( "Joe has a collection of nickels and dimes that is worth $5.65 . If the number of dimes was doubled and the number of nickels was increased by 2, then the value of the coins would be $10.15 . How many dimes does he have?
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Algebra.Com's Answer #196030 by JBarnum(2146)\"\" \"About 
You can put this solution on YOUR website!
take it sentence by sentence
\n" ); document.write( "\"Joe has a collection of nickels and dimes that is worth $5.65 \"
\n" ); document.write( "this means: \"N%2BD=5.65\"
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\n" ); document.write( "\"If the number of dimes was doubled and the number of nickels was increased by 2, then the value of the coins would be $10.15\"
\n" ); document.write( "this means: \"2D%2B%28N%2B.10%29=10.15\" (2nickels=$.10)
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\n" ); document.write( "I would use Substitution method
\n" ); document.write( "\"N%2BD=5.65\"
\n" ); document.write( "\"D=5.65-N\"
\n" ); document.write( "Plug D in to other equation
\n" ); document.write( "\"2D%2B%28N%2B.10%29=10.15\"
\n" ); document.write( "\"2%285.65-N%29%2B%28N%2B10%29=10.15\"
\n" ); document.write( "\"11.3-2N%2BN%2B.10=10.15\"
\n" ); document.write( "\"11.4-N-11.4=10.15-11.4\"
\n" ); document.write( "\"-N=-1.25\"
\n" ); document.write( "\"N=1.25\" this equals value of the nickels, divide by .05 for answer
\n" ); document.write( "25 nickels
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\n" ); document.write( "Plug N=1.25 into 1st equation
\n" ); document.write( "\"N%2BD=5.65\"
\n" ); document.write( "\"1.25%2BD=5.65\"
\n" ); document.write( "\"1.25%2BD-1.25=5.65-1.25\"
\n" ); document.write( "\"D=4.4\" this equals value of the dimes divide by .10 for answer
\n" ); document.write( "44 dimes
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