document.write( "Question 1133586: Gavin has nickels dimes and quarters in the ratio of 8,1,2 if 30 Of Gavin’s coins are quarters how many nickels and dimes does Gavin have \n" ); document.write( "
Algebra.Com's Answer #750840 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the ratio of nickels to dimes to quarters is 8 to 1 to 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means there are 8 nickels for every dime and 1 dime for every 2 quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "out of a total of 8 + 1 + 2 = 11 coins, 8 are nickels, 1 is a dime, and 2 are quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30 of the coins are quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the ratio of dimes to quarters is 1 to 2, this means that are 15 dimes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the ratio of nickels to dimes is 8 to 1, this means there are 120 nickels.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "gavin would have 120 nickels and 15 dimes and 30 quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total number of coins is 165.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide that by 11 and you get 15 sets of 11 coins each.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "each set of 11 coins contains 8 nickels and 1 dime and 2 quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15 sets therefore contain 15 * (8 nickels and 1 dime and 2 quarters) for a total of 120 nickels and 15 dimes and 30 quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that gavin has 120 nickels and 15 dimes.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |