document.write( "Question 251713: A coin bank contains only dimes and nickels. The bank has 46 coins.
\n" );
document.write( "If 5 dimes and 2 nickels were removed, the total value of the coins would be $3.40. Find the number of dimes and the number of nickels.\r
\n" );
document.write( "\n" );
document.write( "PLEASE HELP.
\n" );
document.write( "im so confused of how to even start it.
\n" );
document.write( "im very bad with word probs. \n" );
document.write( "
Algebra.Com's Answer #183411 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! We know the bank has nickels and dimes and that there are 46 coins \n" ); document.write( "n+d=46 \n" ); document.write( "The number of nickels and dimes adds up to 46\r \n" ); document.write( "\n" ); document.write( "5(n-2)+10(d-5)=340 \n" ); document.write( "Now that we are talking dollar amounts we are taking the value of the coins. \n" ); document.write( "So if I take away 2 nickels i am taking away 10 cents and if I take away 5 dimes I am taking away 50 cents \n" ); document.write( "and after all that is done I have $3.40 cents \n" ); document.write( "Each nickel is worth 5 cents and of course each dime is 10 cents \n" ); document.write( "5n is the value of the nickels and 10d is the value of the dimes. \n" ); document.write( "but we don't know how much there was but how much there is now after some were removed. \n" ); document.write( "so we can say there are 7 fewer coins =39 \n" ); document.write( "and 5n+10d=340 \n" ); document.write( "n+d=39 \n" ); document.write( "So there would be 29 dimes and 10 nickels NOW\r \n" ); document.write( "\n" ); document.write( "or we can say \n" ); document.write( "n+d=46 \n" ); document.write( "5(n-2)+10(d-5)=340\r \n" ); document.write( "\n" ); document.write( "See how we are removing two nickels and 5 dimes \n" ); document.write( "-5(2) and 5 dimes -5(10) \n" ); document.write( "and we find that there WERE 34 dimes and 12 nickels \n" ); document.write( "So I did the problem two different ways and came up with the results for before and after \n" ); document.write( "The problem doesn't really say if it wants to know NOW or BEFORE. \n" ); document.write( " \n" ); document.write( " |