document.write( "Question 104837: In a collection of nickels and dimes the number of dimes is 3 more than twice the number of nickels. If the value of the collection is $1.80, how many coins are there? \n" ); document.write( "
Algebra.Com's Answer #89240 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! n = number of nickels \n" ); document.write( "d = number of dimes\r \n" ); document.write( "\n" ); document.write( "value of one nickel is 5 cents, so the value of n nickels is 5n cents \n" ); document.write( "value of one dime is 10 cents, so the value of d dimes is 10d cents\r \n" ); document.write( "\n" ); document.write( "The number of dimes (d) is (=) 3 more (+3) than twice the number of nickels (2n), so\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The value of the collection, that is the value of the dimes plus the value of the nickels is $1.80 or 180 cents, so\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute the expression for d from the first equation into the second equation:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify and solve:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So there are \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "and |