document.write( "Question 1092998: Jim started with an empty piggy bank.Each day, he put a penny, a dime and a quarter into his piggy bank. He kept this up until the bank contained and exact number of dollars, not s penny more or less, how many days did this take, and how many dollars did the bank finally contain? \n" ); document.write( "

Algebra.Com's Answer #707599 by KMST(5328) $\"\"$ $\"About$

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The amount of many Jim put in his Piggy bank each day, in cents, is
\n" ); document.write( " $\"1%2B10%2B25=36\"$
\n" ); document.write( "After $\"n\"$ days, with $\"n\"$ being a positive integer,
\n" ); document.write( "Jim had $\"36n\"$ cents in his piggy bank,
\n" ); document.write( "and that was exactly $\"d\"$ dollars, with $\"d\"$ being a positive integer.
\n" ); document.write( "Those $\"d\"$ dollars were exactly $\"100d\"$ cents.
\n" ); document.write( "At that point it was true that $\"36n=100d\"$ .
\n" ); document.write( "If we factor the numbers we know, we can write that equation as
\n" ); document.write( " $\"4%2A9%2An=4%2A25%2Ad\"$ ---> $\"9%2An=25%2Ad\"$ .
\n" ); document.write( "As $\"9\"$ and $\"25\"$ have no common factors other than $\"1\"$ ,
\n" ); document.write( "and $\"n\"$ and $\"d\"$ are positive integers,
\n" ); document.write( " $\"n\"$ must be a multiple of $\"25\"$ ,
\n" ); document.write( "and the first time that could happen it would be after $\"n=highlight%2825%29\"$ days.
\n" ); document.write( "At that point, Jim's piggy bank would have held
\n" ); document.write( " $\"4%2A9%2A25cents=900cents=highlight%289dollars%29\"$ . \n" ); document.write( "

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