document.write( "Question 1001498: Aiden has a collection of 63 nickles and quarters in his piggy bank.if the total value of the coins is $10.75 how many nickles does he have? \n" ); document.write( "
Algebra.Com's Answer #618712 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Call nickels and quarters, n and q. \n" ); document.write( "Thus \n" ); document.write( "n + q = 63 coins \n" ); document.write( "The value equation is \n" ); document.write( "5n + 25q = 1075 (do this in cents) \n" ); document.write( "We could divide this by five, but let's multiply the first equation by five and subtract it from the second and we get \n" ); document.write( "5n + 25q = 1075 \n" ); document.write( "-(5n + 5q = 315) \n" ); document.write( "and then \n" ); document.write( "20q = 760 \n" ); document.write( "q = 38 quarters \n" ); document.write( "and \n" ); document.write( "n = 25 nickels \n" ); document.write( " |