document.write( "Question 900694: You have 30 fair tickets and each rides cost 1through 5 tickets. How many combinations are there? Explain the equation and make a chart/graph plus show all work \n" ); document.write( "
Algebra.Com's Answer #546144 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
You have 30 fair tickets and each rides cost 1through 5 tickets. How many combinations are there? Explain the equation and make a chart/graph plus show all work
\n" ); document.write( "
\r\n" );
document.write( "Let a = the number of rides that cost 1 ticket.\r\n" );
document.write( "Let b = the number of rides that cost 2 tickets.\r\n" );
document.write( "Let c = the number of rides that cost 3 tickets.\r\n" );
document.write( "Let d = the number of rides that cost 4 tickets.\r\n" );
document.write( "Let e = the number of rides that cost 5 tickets.\r\n" );
document.write( "\r\n" );
document.write( "a+2b+3c+4d+5e = 30\r\n" );
document.write( "\r\n" );
document.write( "Here's a chart of all 674 different ways you can spend \r\n" );
document.write( "your 30 fair tickets, starting with 6 5-ticket rides\r\n" );
document.write( "all the way through 30 1-ticket rides.  That's a pretty\r\n" );
document.write( "big assignment!\r\n" );
document.write( "\r\n" );
document.write( " a  b  c  d  e\r\n" );
document.write( "--------------\r\n" );
document.write( " 0  0  0  0  6\r\n" );
document.write( " 0  0  0  5  2\r\n" );
document.write( " 0  0  1  3  3\r\n" );
document.write( " 0  0  2  1  4\r\n" );
document.write( " 0  0  2  6  0\r\n" );
document.write( " 0  0  3  4  1\r\n" );
document.write( " 0  0  4  2  2\r\n" );
document.write( " 0  0  5  0  3\r\n" );
document.write( " 0  0  6  3  0\r\n" );
document.write( " 0  0  7  1  1\r\n" );
document.write( " 0  0 10  0  0\r\n" );
document.write( " 0  1  0  2  4\r\n" );
document.write( " 0  1  0  7  0\r\n" );
document.write( " 0  1  1  0  5\r\n" );
document.write( " 0  1  1  5  1\r\n" );
document.write( " 0  1  2  3  2\r\n" );
document.write( " 0  1  3  1  3\r\n" );
document.write( " 0  1  4  4  0\r\n" );
document.write( " 0  1  5  2  1\r\n" );
document.write( " 0  1  6  0  2\r\n" );
document.write( " 0  1  8  1  0\r\n" );
document.write( " 0  2  0  4  2\r\n" );
document.write( " 0  2  1  2  3\r\n" );
document.write( " 0  2  2  0  4\r\n" );
document.write( " 0  2  2  5  0\r\n" );
document.write( " 0  2  3  3  1\r\n" );
document.write( " 0  2  4  1  2\r\n" );
document.write( " 0  2  6  2  0\r\n" );
document.write( " 0  2  7  0  1\r\n" );
document.write( " 0  3  0  1  4\r\n" );
document.write( " 0  3  0  6  0\r\n" );
document.write( " 0  3  1  4  1\r\n" );
document.write( " 0  3  2  2  2\r\n" );
document.write( " 0  3  3  0  3\r\n" );
document.write( " 0  3  4  3  0\r\n" );
document.write( " 0  3  5  1  1\r\n" );
document.write( " 0  3  8  0  0\r\n" );
document.write( " 0  4  0  3  2\r\n" );
document.write( " 0  4  1  1  3\r\n" );
document.write( " 0  4  2  4  0\r\n" );
document.write( " 0  4  3  2  1\r\n" );
document.write( " 0  4  4  0  2\r\n" );
document.write( " 0  4  6  1  0\r\n" );
document.write( " 0  5  0  0  4\r\n" );
document.write( " 0  5  0  5  0\r\n" );
document.write( " 0  5  1  3  1\r\n" );
document.write( " 0  5  2  1  2\r\n" );
document.write( " 0  5  4  2  0\r\n" );
document.write( " 0  5  5  0  1\r\n" );
document.write( " 0  6  0  2  2\r\n" );
document.write( " 0  6  1  0  3\r\n" );
document.write( " 0  6  2  3  0\r\n" );
document.write( " 0  6  3  1  1\r\n" );
document.write( " 0  6  6  0  0\r\n" );
document.write( " 0  7  0  4  0\r\n" );
document.write( " 0  7  1  2  1\r\n" );
document.write( " 0  7  2  0  2\r\n" );
document.write( " 0  7  4  1  0\r\n" );
document.write( " 0  8  0  1  2\r\n" );
document.write( " 0  8  2  2  0\r\n" );
document.write( " 0  8  3  0  1\r\n" );
document.write( " 0  9  0  3  0\r\n" );
document.write( " 0  9  1  1  1\r\n" );
document.write( " 0  9  4  0  0\r\n" );
document.write( " 0 10  0  0  2\r\n" );
document.write( " 0 10  2  1  0\r\n" );
document.write( " 0 11  0  2  0\r\n" );
document.write( " 0 11  1  0  1\r\n" );
document.write( " 0 12  2  0  0\r\n" );
document.write( " 0 13  0  1  0\r\n" );
document.write( " 0 15  0  0  0\r\n" );
document.write( " 1  0  0  1  5\r\n" );
document.write( " 1  0  0  6  1\r\n" );
document.write( " 1  0  1  4  2\r\n" );
document.write( " 1  0  2  2  3\r\n" );
document.write( " 1  0  3  0  4\r\n" );
document.write( " 1  0  3  5  0\r\n" );
document.write( " 1  0  4  3  1\r\n" );
document.write( " 1  0  5  1  2\r\n" );
document.write( " 1  0  7  2  0\r\n" );
document.write( " 1  0  8  0  1\r\n" );
document.write( " 1  1  0  3  3\r\n" );
document.write( " 1  1  1  1  4\r\n" );
document.write( " 1  1  1  6  0\r\n" );
document.write( " 1  1  2  4  1\r\n" );
document.write( " 1  1  3  2  2\r\n" );
document.write( " 1  1  4  0  3\r\n" );
document.write( " 1  1  5  3  0\r\n" );
document.write( " 1  1  6  1  1\r\n" );
document.write( " 1  1  9  0  0\r\n" );
document.write( " 1  2  0  0  5\r\n" );
document.write( " 1  2  0  5  1\r\n" );
document.write( " 1  2  1  3  2\r\n" );
document.write( " 1  2  2  1  3\r\n" );
document.write( " 1  2  3  4  0\r\n" );
document.write( " 1  2  4  2  1\r\n" );
document.write( " 1  2  5  0  2\r\n" );
document.write( " 1  2  7  1  0\r\n" );
document.write( " 1  3  0  2  3\r\n" );
document.write( " 1  3  1  0  4\r\n" );
document.write( " 1  3  1  5  0\r\n" );
document.write( " 1  3  2  3  1\r\n" );
document.write( " 1  3  3  1  2\r\n" );
document.write( " 1  3  5  2  0\r\n" );
document.write( " 1  3  6  0  1\r\n" );
document.write( " 1  4  0  4  1\r\n" );
document.write( " 1  4  1  2  2\r\n" );
document.write( " 1  4  2  0  3\r\n" );
document.write( " 1  4  3  3  0\r\n" );
document.write( " 1  4  4  1  1\r\n" );
document.write( " 1  4  7  0  0\r\n" );
document.write( " 1  5  0  1  3\r\n" );
document.write( " 1  5  1  4  0\r\n" );
document.write( " 1  5  2  2  1\r\n" );
document.write( " 1  5  3  0  2\r\n" );
document.write( " 1  5  5  1  0\r\n" );
document.write( " 1  6  0  3  1\r\n" );
document.write( " 1  6  1  1  2\r\n" );
document.write( " 1  6  3  2  0\r\n" );
document.write( " 1  6  4  0  1\r\n" );
document.write( " 1  7  0  0  3\r\n" );
document.write( " 1  7  1  3  0\r\n" );
document.write( " 1  7  2  1  1\r\n" );
document.write( " 1  7  5  0  0\r\n" );
document.write( " 1  8  0  2  1\r\n" );
document.write( " 1  8  1  0  2\r\n" );
document.write( " 1  8  3  1  0\r\n" );
document.write( " 1  9  1  2  0\r\n" );
document.write( " 1  9  2  0  1\r\n" );
document.write( " 1 10  0  1  1\r\n" );
document.write( " 1 10  3  0  0\r\n" );
document.write( " 1 11  1  1  0\r\n" );
document.write( " 1 12  0  0  1\r\n" );
document.write( " 1 13  1  0  0\r\n" );
document.write( " 2  0  0  2  4\r\n" );
document.write( " 2  0  0  7  0\r\n" );
document.write( " 2  0  1  0  5\r\n" );
document.write( " 2  0  1  5  1\r\n" );
document.write( " 2  0  2  3  2\r\n" );
document.write( " 2  0  3  1  3\r\n" );
document.write( " 2  0  4  4  0\r\n" );
document.write( " 2  0  5  2  1\r\n" );
document.write( " 2  0  6  0  2\r\n" );
document.write( " 2  0  8  1  0\r\n" );
document.write( " 2  1  0  4  2\r\n" );
document.write( " 2  1  1  2  3\r\n" );
document.write( " 2  1  2  0  4\r\n" );
document.write( " 2  1  2  5  0\r\n" );
document.write( " 2  1  3  3  1\r\n" );
document.write( " 2  1  4  1  2\r\n" );
document.write( " 2  1  6  2  0\r\n" );
document.write( " 2  1  7  0  1\r\n" );
document.write( " 2  2  0  1  4\r\n" );
document.write( " 2  2  0  6  0\r\n" );
document.write( " 2  2  1  4  1\r\n" );
document.write( " 2  2  2  2  2\r\n" );
document.write( " 2  2  3  0  3\r\n" );
document.write( " 2  2  4  3  0\r\n" );
document.write( " 2  2  5  1  1\r\n" );
document.write( " 2  2  8  0  0\r\n" );
document.write( " 2  3  0  3  2\r\n" );
document.write( " 2  3  1  1  3\r\n" );
document.write( " 2  3  2  4  0\r\n" );
document.write( " 2  3  3  2  1\r\n" );
document.write( " 2  3  4  0  2\r\n" );
document.write( " 2  3  6  1  0\r\n" );
document.write( " 2  4  0  0  4\r\n" );
document.write( " 2  4  0  5  0\r\n" );
document.write( " 2  4  1  3  1\r\n" );
document.write( " 2  4  2  1  2\r\n" );
document.write( " 2  4  4  2  0\r\n" );
document.write( " 2  4  5  0  1\r\n" );
document.write( " 2  5  0  2  2\r\n" );
document.write( " 2  5  1  0  3\r\n" );
document.write( " 2  5  2  3  0\r\n" );
document.write( " 2  5  3  1  1\r\n" );
document.write( " 2  5  6  0  0\r\n" );
document.write( " 2  6  0  4  0\r\n" );
document.write( " 2  6  1  2  1\r\n" );
document.write( " 2  6  2  0  2\r\n" );
document.write( " 2  6  4  1  0\r\n" );
document.write( " 2  7  0  1  2\r\n" );
document.write( " 2  7  2  2  0\r\n" );
document.write( " 2  7  3  0  1\r\n" );
document.write( " 2  8  0  3  0\r\n" );
document.write( " 2  8  1  1  1\r\n" );
document.write( " 2  8  4  0  0\r\n" );
document.write( " 2  9  0  0  2\r\n" );
document.write( " 2  9  2  1  0\r\n" );
document.write( " 2 10  0  2  0\r\n" );
document.write( " 2 10  1  0  1\r\n" );
document.write( " 2 11  2  0  0\r\n" );
document.write( " 2 12  0  1  0\r\n" );
document.write( " 2 14  0  0  0\r\n" );
document.write( " 3  0  0  3  3\r\n" );
document.write( " 3  0  1  1  4\r\n" );
document.write( " 3  0  1  6  0\r\n" );
document.write( " 3  0  2  4  1\r\n" );
document.write( " 3  0  3  2  2\r\n" );
document.write( " 3  0  4  0  3\r\n" );
document.write( " 3  0  5  3  0\r\n" );
document.write( " 3  0  6  1  1\r\n" );
document.write( " 3  0  9  0  0\r\n" );
document.write( " 3  1  0  0  5\r\n" );
document.write( " 3  1  0  5  1\r\n" );
document.write( " 3  1  1  3  2\r\n" );
document.write( " 3  1  2  1  3\r\n" );
document.write( " 3  1  3  4  0\r\n" );
document.write( " 3  1  4  2  1\r\n" );
document.write( " 3  1  5  0  2\r\n" );
document.write( " 3  1  7  1  0\r\n" );
document.write( " 3  2  0  2  3\r\n" );
document.write( " 3  2  1  0  4\r\n" );
document.write( " 3  2  1  5  0\r\n" );
document.write( " 3  2  2  3  1\r\n" );
document.write( " 3  2  3  1  2\r\n" );
document.write( " 3  2  5  2  0\r\n" );
document.write( " 3  2  6  0  1\r\n" );
document.write( " 3  3  0  4  1\r\n" );
document.write( " 3  3  1  2  2\r\n" );
document.write( " 3  3  2  0  3\r\n" );
document.write( " 3  3  3  3  0\r\n" );
document.write( " 3  3  4  1  1\r\n" );
document.write( " 3  3  7  0  0\r\n" );
document.write( " 3  4  0  1  3\r\n" );
document.write( " 3  4  1  4  0\r\n" );
document.write( " 3  4  2  2  1\r\n" );
document.write( " 3  4  3  0  2\r\n" );
document.write( " 3  4  5  1  0\r\n" );
document.write( " 3  5  0  3  1\r\n" );
document.write( " 3  5  1  1  2\r\n" );
document.write( " 3  5  3  2  0\r\n" );
document.write( " 3  5  4  0  1\r\n" );
document.write( " 3  6  0  0  3\r\n" );
document.write( " 3  6  1  3  0\r\n" );
document.write( " 3  6  2  1  1\r\n" );
document.write( " 3  6  5  0  0\r\n" );
document.write( " 3  7  0  2  1\r\n" );
document.write( " 3  7  1  0  2\r\n" );
document.write( " 3  7  3  1  0\r\n" );
document.write( " 3  8  1  2  0\r\n" );
document.write( " 3  8  2  0  1\r\n" );
document.write( " 3  9  0  1  1\r\n" );
document.write( " 3  9  3  0  0\r\n" );
document.write( " 3 10  1  1  0\r\n" );
document.write( " 3 11  0  0  1\r\n" );
document.write( " 3 12  1  0  0\r\n" );
document.write( " 4  0  0  4  2\r\n" );
document.write( " 4  0  1  2  3\r\n" );
document.write( " 4  0  2  0  4\r\n" );
document.write( " 4  0  2  5  0\r\n" );
document.write( " 4  0  3  3  1\r\n" );
document.write( " 4  0  4  1  2\r\n" );
document.write( " 4  0  6  2  0\r\n" );
document.write( " 4  0  7  0  1\r\n" );
document.write( " 4  1  0  1  4\r\n" );
document.write( " 4  1  0  6  0\r\n" );
document.write( " 4  1  1  4  1\r\n" );
document.write( " 4  1  2  2  2\r\n" );
document.write( " 4  1  3  0  3\r\n" );
document.write( " 4  1  4  3  0\r\n" );
document.write( " 4  1  5  1  1\r\n" );
document.write( " 4  1  8  0  0\r\n" );
document.write( " 4  2  0  3  2\r\n" );
document.write( " 4  2  1  1  3\r\n" );
document.write( " 4  2  2  4  0\r\n" );
document.write( " 4  2  3  2  1\r\n" );
document.write( " 4  2  4  0  2\r\n" );
document.write( " 4  2  6  1  0\r\n" );
document.write( " 4  3  0  0  4\r\n" );
document.write( " 4  3  0  5  0\r\n" );
document.write( " 4  3  1  3  1\r\n" );
document.write( " 4  3  2  1  2\r\n" );
document.write( " 4  3  4  2  0\r\n" );
document.write( " 4  3  5  0  1\r\n" );
document.write( " 4  4  0  2  2\r\n" );
document.write( " 4  4  1  0  3\r\n" );
document.write( " 4  4  2  3  0\r\n" );
document.write( " 4  4  3  1  1\r\n" );
document.write( " 4  4  6  0  0\r\n" );
document.write( " 4  5  0  4  0\r\n" );
document.write( " 4  5  1  2  1\r\n" );
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document.write( " 4  6  2  2  0\r\n" );
document.write( " 4  6  3  0  1\r\n" );
document.write( " 4  7  0  3  0\r\n" );
document.write( " 4  7  1  1  1\r\n" );
document.write( " 4  7  4  0  0\r\n" );
document.write( " 4  8  0  0  2\r\n" );
document.write( " 4  8  2  1  0\r\n" );
document.write( " 4  9  0  2  0\r\n" );
document.write( " 4  9  1  0  1\r\n" );
document.write( " 4 10  2  0  0\r\n" );
document.write( " 4 11  0  1  0\r\n" );
document.write( " 4 13  0  0  0\r\n" );
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document.write( " 5  0  2  1  3\r\n" );
document.write( " 5  0  3  4  0\r\n" );
document.write( " 5  0  4  2  1\r\n" );
document.write( " 5  0  5  0  2\r\n" );
document.write( " 5  0  7  1  0\r\n" );
document.write( " 5  1  0  2  3\r\n" );
document.write( " 5  1  1  0  4\r\n" );
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document.write( " 5  1  2  3  1\r\n" );
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document.write( " 5  1  6  0  1\r\n" );
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document.write( " 5  2  2  0  3\r\n" );
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document.write( " 5  4  0  3  1\r\n" );
document.write( " 5  4  1  1  2\r\n" );
document.write( " 5  4  3  2  0\r\n" );
document.write( " 5  4  4  0  1\r\n" );
document.write( " 5  5  0  0  3\r\n" );
document.write( " 5  5  1  3  0\r\n" );
document.write( " 5  5  2  1  1\r\n" );
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document.write( " 5  6  0  2  1\r\n" );
document.write( " 5  6  1  0  2\r\n" );
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document.write( " 5  7  1  2  0\r\n" );
document.write( " 5  7  2  0  1\r\n" );
document.write( " 5  8  0  1  1\r\n" );
document.write( " 5  8  3  0  0\r\n" );
document.write( " 5  9  1  1  0\r\n" );
document.write( " 5 10  0  0  1\r\n" );
document.write( " 5 11  1  0  0\r\n" );
document.write( " 6  0  0  1  4\r\n" );
document.write( " 6  0  0  6  0\r\n" );
document.write( " 6  0  1  4  1\r\n" );
document.write( " 6  0  2  2  2\r\n" );
document.write( " 6  0  3  0  3\r\n" );
document.write( " 6  0  4  3  0\r\n" );
document.write( " 6  0  5  1  1\r\n" );
document.write( " 6  0  8  0  0\r\n" );
document.write( " 6  1  0  3  2\r\n" );
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