document.write( "Question 959305: How many ways can you make $10.75 using halves and quarters? \n" ); document.write( "
Algebra.Com's Answer #586378 by Edwin McCravy(20063)\"\" \"About 
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How many ways can you make $10.75 using halves and quarters?
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document.write( "You can use from 0 up to 21 halves and the rest quarters.\r\n" );
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document.write( "Counting no halves that makes 22 ways.\r\n" );
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document.write( "You don't need any algebra, but if your teacher insiste that\r\n" );
document.write( "you show some algebra, then:\r\n" );
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document.write( "0.25q + 0.50h = 10.75\r\n" );
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document.write( "    25q + 50h = 1075\r\n" );
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document.write( "       q + 2h = 43\r\n" );
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document.write( "            q = 43 - 2h\r\n" );
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document.write( "there must be at least 1 quarter and no more than 21 halves\r\n" );
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document.write( "          1 ≤ q ≤ 43\r\n" );
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document.write( "       1 ≤ 43 - 2h ≤ 43\r\n" );
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document.write( "Subtract 43 from all 3 sides\r\n" );
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document.write( "     -42 ≤ -2h ≤ 0\r\n" );
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document.write( "Divide all three sides by -2, reversing the inequality symbols,\r\n" );
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document.write( "       21 ≥ h ≥ 0 \r\n" );
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document.write( "There are 22 integers inclusively from 0 to 21.\r\n" );
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document.write( "Answer: 22 ways.\r\n" );
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document.write( "Here they all are:\r\n" );
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document.write( "1 halves and 41 quarters.\r\n" );
document.write( "2 halves and 39 quarters.\r\n" );
document.write( "3 halves and 37 quarters.\r\n" );
document.write( "4 halves and 35 quarters.\r\n" );
document.write( "5 halves and 33 quarters.\r\n" );
document.write( "6 halves and 31 quarters.\r\n" );
document.write( "7 halves and 29 quarters.\r\n" );
document.write( "8 halves and 27 quarters.\r\n" );
document.write( "9 halves and 25 quarters.\r\n" );
document.write( "10 halves and 23 quarters.\r\n" );
document.write( "11 halves and 21 quarters.\r\n" );
document.write( "12 halves and 19 quarters.\r\n" );
document.write( "13 halves and 17 quarters.\r\n" );
document.write( "14 halves and 15 quarters.\r\n" );
document.write( "15 halves and 13 quarters.\r\n" );
document.write( "16 halves and 11 quarters.\r\n" );
document.write( "17 halves and 9 quarters.\r\n" );
document.write( "18 halves and 7 quarters.\r\n" );
document.write( "19 halves and 5 quarters.\r\n" );
document.write( "20 halves and 3 quarters.\r\n" );
document.write( "21 halves and 1 quarters.\r\n" );
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document.write( "Edwin
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