document.write( "Question 183629: Raleigh has a total of 66 coins, all of which are either dimes or nickles. The total value of the coins is $5.75. Find the number of each type of coin. \n" ); document.write( "
Algebra.Com's Answer #137872 by eperette(173)\"\" \"About 
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Let n = number of nickels
\n" ); document.write( "d = number of dimes\r
\n" ); document.write( "\n" ); document.write( "n + d = 66
\n" ); document.write( "0.05n + 0.10d = 5.75\r
\n" ); document.write( "\n" ); document.write( "We will solve by using substitution\r
\n" ); document.write( "\n" ); document.write( "n + d = 66
\n" ); document.write( "n + d - d = 66 - d
\n" ); document.write( "n = 66 - d\r
\n" ); document.write( "\n" ); document.write( "then
\n" ); document.write( "0.05n + 0.10d = 5.75
\n" ); document.write( "0.05(66 - d) + 0.10d = 5.75
\n" ); document.write( "3.3 - 0.05d + 0.10d = 5.75
\n" ); document.write( "3.3 + 0.05d = 5.75
\n" ); document.write( "3.3- 3.3 + 0.05d = 5.75 - 3.3
\n" ); document.write( "0.05d = 2.45
\n" ); document.write( "0.05d/0.05= 2.45/0.05
\n" ); document.write( "d = 49\r
\n" ); document.write( "\n" ); document.write( "and n = 66 -d = 66 - 49 = 17\r
\n" ); document.write( "\n" ); document.write( "answer: there are 49 dimes and 17 nickels
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