document.write( "Question 167769: Sam found a number of nickels, dimes and quarters in his room. He found 3 more dimes than nickels but twices as many quarters as dimes. The total value of the coins was $5.05. How many coins of each type did Sam find? \n" ); document.write( "
Algebra.Com's Answer #123704 by nerdybill(7384)\"\" \"About 
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Sam found a number of nickels, dimes and quarters in his room. He found 3 more dimes than nickels but twice as many quarters as dimes. The total value of the coins was $5.05. How many coins of each type did Sam find?
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\n" ); document.write( "Let n = number of nickels
\n" ); document.write( "then from \"He found 3 more dimes than nickels\"
\n" ); document.write( "n+3 = number of dimes
\n" ); document.write( "and from \"twice as many quarters as dimes\"
\n" ); document.write( "2(n+3) = number of quarters
\n" ); document.write( ".
\n" ); document.write( "From the total we get:
\n" ); document.write( "5.05 = .05n + .10(n+3) + .25(2(n+3))
\n" ); document.write( "5.05 = .05n + .10n + .3 + .25(2n+6)
\n" ); document.write( "5.05 = .05n + .10n + .3 + .50n + 1.5
\n" ); document.write( "5.05 = .15n + .3 + .50n + 1.5
\n" ); document.write( "5.05 = .65n + .3 + 1.5
\n" ); document.write( "5.05 = .65n + 1.8
\n" ); document.write( "3.25 = .65n
\n" ); document.write( "5 = n (number of nickels)
\n" ); document.write( ".
\n" ); document.write( "dimes:
\n" ); document.write( "n+3 = 5+3 = 8 (number of dimes)
\n" ); document.write( ".
\n" ); document.write( "quarters:
\n" ); document.write( "2(n+3) = 2(5+3) = 2(8) = 16 (number of quarters)\r
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