document.write( "Question 251148: a piggy bank has 50 coins. the coins are only nickles and dimes. The bank has $4.55 in total. How many coins are nickles, how many dimes?
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Algebra.Com's Answer #182896 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! a piggy bank has 50 coins. the coins are only nickles and dimes. The bank has $4.55 in total. How many coins are nickles, how many dimes?\r \n" ); document.write( "\n" ); document.write( "---------------------------------------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Equation: n + d = 50 \n" ); document.write( "Value Equation::: 5n+ 10d = 455 \n" ); document.write( "--------------------------------- \n" ); document.write( "Multiply thru the Quantity Eq by 5 to get: \n" ); document.write( "5n + 5d = 250 \n" ); document.write( "--- \n" ); document.write( "Subtract that from the Value equation and solve for \"d\": \n" ); document.write( "5d = 205 \n" ); document.write( "d = 41 (# of dimes) \n" ); document.write( "---- \n" ); document.write( "Substitute into n+d = 50 and solve for \"n\": \n" ); document.write( "n+41 = 50 \n" ); document.write( "n = 9 (# of nickels) \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |