document.write( "Question 1006333: A jar contains nickles and pennies. If there are 56 coins in all and the total value is $1.52, How many nickles are in the jar? \n" ); document.write( "
Algebra.Com's Answer #622479 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A jar contains nickles and pennies. If there are 56 coins in all and the total value is $1.52, How many nickles are in the jar? \n" ); document.write( "-----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let me solve the problem by an unusual way, without using equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let us suppose for a moment that all 56 coins are pennies. \r \n" ); document.write( "\n" ); document.write( "Then their value would be 56 cents. It is less than $1.52 in   96 cents. \r \n" ); document.write( "\n" ); document.write( "It is clear that the difference is due to presence of 5-cent coins that we intently counted as 1-cent coins.\r \n" ); document.write( "\n" ); document.write( "It is also clear that the number of these 5-cent coins is \n" ); document.write( "\n" ); document.write( "So, the answer is: there are 24 nickels and  56-24 = 32 of pennies in the jar.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution is completed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Surely, the problem can be solved by reduction to a linear equation, or to a system of linear equations, \r \n" ); document.write( "\n" ); document.write( "as it was demonstrated in my lessons on coins in this site \r \n" ); document.write( "\n" ); document.write( "Coin problems and More Coin problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "But it also can be solved without using equations, with the use of mental Math only.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |