document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255053>Question 255053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lonnie has a large supply of quarters , dimes, nickels, and pennies. In how many ways could she make change for 50 cents?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187348 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1 quarter = 25 cents<BR>\n" );
document.write( "1 dime = 10 cents<BR>\n" );
document.write( "1 nickel = 5 cents<BR>\n" );
document.write( "1 penny = 1 cent\r<BR>\n" );
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document.write( "it would make sense to make a table of this working our way down from the highest denomination to the lowest denomination.\r<BR>\n" );
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document.write( "the total value of each row is equal to 50 cents.\r<BR>\n" );
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document.write( "           quarters       dimes      nickels      pennies\r\n" );
document.write( "              2             0          0            0 \r\n" );
document.write( "              1             2          1            0           \r\n" );
document.write( "              1             2          0            5           \r\n" );
document.write( "              1             1          3            0 \r\n" );
document.write( "              1             1          2            5\r\n" );
document.write( "              1             1          1            10   *** example 1\r\n" );
document.write( "              1             1          0            15\r\n" );
document.write( "              1             0          5            0\r\n" );
document.write( "              1             0          4            5\r\n" );
document.write( "              1             0          3            10\r\n" );
document.write( "              1             0          2            15\r\n" );
document.write( "              1             0          1            20\r\n" );
document.write( "              1             0          0            25\r\n" );
document.write( "              0             5          0            0\r\n" );
document.write( "              0             4          2            0\r\n" );
document.write( "              0             4          1            5\r\n" );
document.write( "              0             4          0            10\r\n" );
document.write( "              0             3          4            0\r\n" );
document.write( "              0             3          3            5   *** example 2\r\n" );
document.write( "              0             3          2            10\r\n" );
document.write( "              0             3          1            15\r\n" );
document.write( "              0             3          0            20\r\n" );
document.write( "              0             2          6            0\r\n" );
document.write( "              0             2          5            5\r\n" );
document.write( "              0             2          4            10\r\n" );
document.write( "              0             2          3            15\r\n" );
document.write( "              0             2          2            20\r\n" );
document.write( "              0             2          1            25\r\n" );
document.write( "              0             2          0            30\r\n" );
document.write( "              0             1          8            0\r\n" );
document.write( "              0             1          7            5\r\n" );
document.write( "              0             1          6            10\r\n" );
document.write( "              0             1          5            15\r\n" );
document.write( "              0             1          4            20\r\n" );
document.write( "              0             1          3            25\r\n" );
document.write( "              0             1          2            30\r\n" );
document.write( "              0             1          1            35\r\n" );
document.write( "              0             1          0            40\r\n" );
document.write( "              0             0          10           0\r\n" );
document.write( "              0             0          9            5\r\n" );
document.write( "              0             0          8            10\r\n" );
document.write( "              0             0          7            15\r\n" );
document.write( "              0             0          6            20\r\n" );
document.write( "              0             0          5            25   *** example 3\r\n" );
document.write( "              0             0          4            30\r\n" );
document.write( "              0             0          3            35\r\n" );
document.write( "              0             0          2            40\r\n" );
document.write( "              0             0          1            45\r\n" );
document.write( "              0             0          0            50\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "this counts out to be 49 possible combinations.\r<BR>\n" );
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document.write( "I couldn't figure out a formula to use so I just tabulated all the possible combinations I could think of.\r<BR>\n" );
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document.write( "The total is 49.\r<BR>\n" );
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document.write( "I believe I have them all covered.\r<BR>\n" );
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document.write( "Any combination you can think of should be in the table.\r<BR>\n" );
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document.write( "Example 1:\r<BR>\n" );
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document.write( "1 quarter 1 dime 1 nickel 10 pennies.\r<BR>\n" );
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document.write( "start with the quarter column and scan down until you see 1.<BR>\n" );
document.write( "shift to the dime column and scan further down until you find 1.<BR>\n" );
document.write( "shift to the nickel column and scan further down until  you find 1.<BR>\n" );
document.write( "shift to the penny column and you should see 10.\r<BR>\n" );
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document.write( "Example 2:\r<BR>\n" );
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document.write( "3 dimes 3 nickels 5 pennies.\r<BR>\n" );
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document.write( "start with the quarter column and scan down  until you see 0.<BR>\n" );
document.write( "shift to the dime column and scan further down until you find 3.<BR>\n" );
document.write( "shift to the nickel column and scan further down until you find 3.<BR>\n" );
document.write( "shift to the penny column ahd you should see 5.\r<BR>\n" );
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document.write( "Example 3:\r<BR>\n" );
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document.write( "5 nickels 25 pennies.\r<BR>\n" );
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document.write( "start with the quarter column and scan down until you see 0.<BR>\n" );
document.write( "shift to the dime column and scan further down  until you find 0.<BR>\n" );
document.write( "shift to the nickel column and scan further down until  you find 5.<BR>\n" );
document.write( "shift to the penny column and you should see 25.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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