document.write( "Question 1151583: Suppose there is a pile of quarters, dimes, and pennies with a total of $1.07.
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\n" ); document.write( "b)Explain why $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar \n" ); document.write( "
Algebra.Com's Answer #773387 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            I will solve and answer part  (a)  only.\r
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document.write( "ANSWER.  There are two and only two possible collections :\r\n" );
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document.write( "          - one is  { 2 pennies, 3 quarters and 3 dimes } \r\n" );
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document.write( "          - and the other is  { 2 pennies, 1 quarter and 8 dimes }.\r\n" );
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document.write( "Explanation.  \r\n" );
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document.write( "1)  The only alternative to 2 pennies is to have 7 pennies, or 12 pennies, or 17 pennies (and so on . . . ) to make a total of $1.07.\r\n" );
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document.write( "    But these alternatives contradict to be not able to make a change for a dollar.\r\n" );
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document.write( "    So, 2 pennies is the only option, regarding pennies.\r\n" );
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document.write( "2)  OK.  It leaves us with $1.05.\r\n" );
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document.write( "    Then we must be able to make $1.05 using quarters and dimes only, without being able to make change for a dollar.\r\n" );
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document.write( "    Again, it is obvious that there are only two such opportunities : \r\n" );
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document.write( "        - one quarter and  8 dimes,\r\n" );
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document.write( "    and/or\r\n" );
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document.write( "        - three quarters and 3 dimes.\r\n" );
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