document.write( "Question 198518: Twenty-five coins, whose value is $2.75 are made up of nickels, dimes, and quarters. If the nickels were dimes, the dimes were quarters, and the quarters were nickels, the total value would be $3.75. How many coins of each type are there? \n" ); document.write( "
Algebra.Com's Answer #149051 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Twenty-five coins, whose value is $2.75 are made up of nickels, dimes, and quarters. If the nickels were dimes, the dimes were quarters, and the quarters were nickels, the total value would be $3.75. How many coins of each type are there?\r
\n" ); document.write( "\n" ); document.write( "Twenty-five coins,\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "so we write:\r\n" );
document.write( "\r\n" );
document.write( "N +   D +   Q =  25\r\n" );
document.write( "

\n" ); document.write( "whose value is $2.75 are made up of nickels, dimes, and quarters.
\n" ); document.write( "
\r\n" );
document.write( "so we write:\r\n" );
document.write( "\r\n" );
document.write( "5N + 10D + 25Q = 275\r\n" );
document.write( "

\n" ); document.write( "If the nickels were dimes,
\n" ); document.write( "
\r\n" );
document.write( "we'd have 10N cents\r\n" );
document.write( "

\n" ); document.write( "the dimes were quarters,
\n" ); document.write( "
\r\n" );
document.write( "we'd have 25D cents\r\n" );
document.write( "

\n" ); document.write( "and the quarters were nickels,
\n" ); document.write( "
\r\n" );
document.write( "we'd have 5Q cents.\r\n" );
document.write( "

\n" ); document.write( "the total value would be $3.75.
\n" ); document.write( "
\r\n" );
document.write( "So 10N + 25D + 5Q = 375\r\n" );
document.write( "\r\n" );
document.write( "So the system is\r\n" );
document.write( "\r\n" );
document.write( "  N +   D +   Q =  25\r\n" );
document.write( " 5N + 10D + 25Q = 275\r\n" );
document.write( "10N + 25D +  5Q = 375\r\n" );
document.write( "\r\n" );
document.write( "Solve that and get 10 nickels, 10 dimes and 5 quarters.\r\n" );
document.write( "\r\n" );
document.write( "10 nickels =  50 cents\r\n" );
document.write( "10 dimes =   100 cents\r\n" );
document.write( "5 quarters = 125 cents\r\n" );
document.write( "             ---------\r\n" );
document.write( "             275 cents or $2.75\r\n" );
document.write( "\r\n" );
document.write( "If we had\r\n" );
document.write( "\r\n" );
document.write( "10 dimes =    100 cents\r\n" );
document.write( "10 quarters = 250 cents\r\n" );
document.write( "5 nickels =    25 cents\r\n" );
document.write( "             ---------\r\n" );
document.write( "              375 cents or $3.75   \r\n" );
document.write( "\r\n" );
document.write( "So it checks.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );