document.write( "Question 16650: Mrs. Lynch has 21 coins in nickles and dimes. Thier total value is $1.65. How many of each coin is there \n" ); document.write( "
Algebra.Com's Answer #8158 by bam878s(77)\"\" \"About 
You can put this solution on YOUR website!
let x = number of nickels and y = number of dimes.
\n" ); document.write( "then x + y = 21
\n" ); document.write( "and
\n" ); document.write( ".05x + .10y = 1.65
\n" ); document.write( "From the first equation, we can solve ofr either x or y and plug into the second
\n" ); document.write( "x + y = 21 => x = 21 - y.
\n" ); document.write( ".05(21 - y) + .10y = 1.65
\n" ); document.write( "1.05 - .05y + .10y = 1.65
\n" ); document.write( "1.05 + .05y = 1.65
\n" ); document.write( ".05y = .6
\n" ); document.write( "y = 12
\n" ); document.write( "Now use this value in the first equation and solve for x
\n" ); document.write( "x + 12 = 21 => x = 21 -12 = 9
\n" ); document.write( "So she has 9 nickels and 12 dimes
\n" ); document.write( "check:
\n" ); document.write( "9 nickels = .45 and 12 dimes = 1.20
\n" ); document.write( "1.20 + .45 = 1.65 \n" ); document.write( "
\n" );