document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132459>Question 132459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:     Sanjay spent a long time searching for just the right birthday card for his mother.  He narrowed his choice down to two different cards, a humorous one and a serious one.  He finally decided to buy both for a total of $3.34.  He gave the clerk $4.00. How many possible combinations of coins can you find for Sanjay's change? \r<BR>\n" );
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document.write( "I know that the change is $.66 and i can also use the fifty cent piece.  But i have no clue what to do next... please help me..  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96837 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't have to know the exact amount of each combination, just<BR>\n" );
document.write( "how many combinations there are, so I can ignore the pennies, and<BR>\n" );
document.write( "just be aware that I'll need pennies to fill in the shortfalls <BR>\n" );
document.write( "when I have less that 66c<BR>\n" );
document.write( "nickels<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "(0-13)<BR>\n" );
document.write( "I can have no nickels up to 13 nickels. 14 nickels would make <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2A5+=+70 ALIGN=MIDDLE  ALT=\"14%2A5+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" >c which exceeds the change<BR>\n" );
document.write( "How many dimes can I possibly have with each of (0-13) nickels?<BR>\n" );
document.write( "and not exceed 66c?\r<BR>\n" );
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document.write( "nickels   dimes   subtotal<BR>\n" );
document.write( "-------   -----   --------<BR>\n" );
document.write( "0         (1-6)      6<BR>\n" );
document.write( "1         (1-6)     12<BR>\n" );
document.write( "2         (1-5)     17<BR>\n" );
document.write( "3         (1-5)     22<BR>\n" );
document.write( "4         (1-4)     26<BR>\n" );
document.write( "5         (1-4)     30<BR>\n" );
document.write( "6         (1-3)     33<BR>\n" );
document.write( "7         (1-3)     36<BR>\n" );
document.write( "8         (1-2)     38<BR>\n" );
document.write( "9         (1-2)     40<BR>\n" );
document.write( "10        (1)       41<BR>\n" );
document.write( "11        (1)       42<BR>\n" );
document.write( "12        (0)<BR>\n" );
document.write( "13        (0)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "To tally up what I have so far, <BR>\n" );
document.write( "(1) (0 nickels, 66 pennies)<BR>\n" );
document.write( "(2) (1 nickel, 61 pennies)<BR>\n" );
document.write( ". . . .<BR>\n" );
document.write( "(14) (13 nickels, 1 penny)<BR>\n" );
document.write( "(15) (0 nickels, 1 dime, 56 pennies)<BR>\n" );
document.write( ". . . .<BR>\n" );
document.write( "(56) (11 nickels, 1 dime, 1 penny)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Now I have to take into account the <BR>\n" );
document.write( "combinations that use quarters<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "nickels    dimes: (1)    (2)    (3)   (4)<BR>\n" );
document.write( "-------    ------------------------------<BR>\n" );
document.write( "0      quarters: (1-2)   (1)    (1)   (1)<BR>\n" );
document.write( "1                (1-2)   (1)    (1)   (0)<BR>\n" );
document.write( "2                (1-2)   (1)    (1) <BR>\n" );
document.write( "3                 (1)    (1)    (0)<BR>\n" );
document.write( "4                 (1)    (1)<BR>\n" );
document.write( "5                 (1)    (0)<BR>\n" );
document.write( "6                 (1)<BR>\n" );
document.write( "7                 (0)<BR>\n" );
document.write( "This table adds 19 more possibilities, bringing the<BR>\n" );
document.write( "subtotal to 75<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Now for the 50c as part of the change:<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "nickels     dimes:  (0)   (1)<BR>\n" );
document.write( "-------     -----------------<BR>\n" );
document.write( "0             50c:  (1)   (1)<BR>\n" );
document.write( "1                   (1)   (1)<BR>\n" );
document.write( "2                   (1)   (0)<BR>\n" );
document.write( "3                   (1)<BR>\n" );
document.write( "4                   (0)<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "This table sadds 6 more combinations.<BR>\n" );
document.write( "The final grand total is 81, unless I <BR>\n" );
document.write( "messed up somewhere. </SPAN>\n" );
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