document.write( "Question 951120: I am having a problem breaking down word problems.\r
\n" );
document.write( "\n" );
document.write( "This is the problem i am trying to solve:\r
\n" );
document.write( "\n" );
document.write( "I have a mixture of 742 coins which are a mixture of pennies, nickels, dimes and quarters. There are 10 times as many pennies as dimes and half as many quarters as dimes. If i have $24.60 how many dimes are there?\r
\n" );
document.write( "\n" );
document.write( "I know i have to pull out the following terms \r
\n" );
document.write( "\n" );
document.write( "742 total coins
\n" );
document.write( "10x pennies as dimes
\n" );
document.write( "1/2 quarters as dimes
\n" );
document.write( "and the total of 24.60
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #580775 by quada(2)![]() ![]() ![]() You can put this solution on YOUR website! Let d = number of dimes. \n" ); document.write( "Then 10d = number of pennies, and d/2 = number of quarters. Let n = number of nickels. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1(10d) + 10(d) + 25(d/2) + 5n = 2660 \n" ); document.write( "10d + 10d + 12.5d + 5n = 2660 \n" ); document.write( "32.5d + 5n = 2660 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, all types of coins added up = 742, so \n" ); document.write( "10d + n + d + d/2 = 742 \n" ); document.write( "11.5d + n = 742 \n" ); document.write( "n = 742 - 11.5d \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "32.5d + 5(742-11.5d) = 2660 \n" ); document.write( "32.5d + 3710 - 57.5d = 2660 \n" ); document.write( "-25d = -1050 \n" ); document.write( "d = 42 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "42 dimes, 420 pennies, 21 quarters, which leave \n" ); document.write( "259 nickels. \n" ); document.write( " |