document.write( "Question 1059773: When a child breaks open her piggy bank, she finds a total of 50 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $6. If the nickels were dimes, and the dimes were nickels, the value of the coins would be $5. How many nickels, dimes, and quarters were in the piggy bank? \n" ); document.write( "

Algebra.Com's Answer #674826 by stanbon(75887) $\"\"$ $\"About$

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When a child breaks open her piggy bank, she finds a total of 50 coins, consisting of nickels, dimes, and quarters. The total value of the coins is $6. If the nickels were dimes, and the dimes were nickels, the value of the coins would be $5. How many nickels, dimes, and quarters were in the piggy bank?
\n" ); document.write( "---------------------
\n" ); document.write( "n + d + q = 50 coins
\n" ); document.write( "5n + 10d + 25q = 600 cents
\n" ); document.write( "10n + 5d + 25q = 500 cents
\n" ); document.write( "-----------------------
\n" ); document.write( "Modify::
\n" ); document.write( "n + d + q = 50
\n" ); document.write( "n + 2d + 5q = 120
\n" ); document.write( "2n + d + 5q = 100
\n" ); document.write( "------------------------
\n" ); document.write( "Use any method you know to solve the system to get::
\n" ); document.write( "n = 10
\n" ); document.write( "d = 30
\n" ); document.write( "q = 10 \n" ); document.write( "

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