document.write( "Question 647397: You have 3 quarters, 8 dimes, 5 nickels, 7 pennies how many combinations add up to $1 & list all combinations. \n" ); document.write( "
Algebra.Com's Answer #406197 by Edwin McCravy(20060)\"\" \"About 
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document.write( "1. If you don't use any quarters, you have to use 7 or 8 dimes, because if you\r\n" );
document.write( "used only 6, you'd have only 60 cents, and you couldn't make the remaining 40\r\n" );
document.write( "cents with only 5 nickels and 7 pennies.\r\n" );
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document.write( "If you use 7 dimes, you have 30 cents to make, and you can only do that with \r\n" );
document.write( "5 nickels and 5 pennies.   That's 1 way.\r\n" );
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document.write( "If you use 8 dimes, you have 20 cents to make, and you can do that with\r\n" );
document.write( "either 4 nickels, or 3 nickels and 5 pennies.   That's 2 ways.\r\n" );
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document.write( "That's 1+2 or 3 ways to not use any quarters.\r\n" );
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document.write( "2. If you use 1 quarter, you have 75 cents left. So you have to use 5, 6 or 7\r\n" );
document.write( "dimes, because if you used only 4, you'd have only 40 cents, and you couldn't\r\n" );
document.write( "make the remaining 35 cents with only 5 nickels and 7 pennies, for that's only\r\n" );
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document.write( "32 cents.\r\n" );
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document.write( "If you use 5 dimes, you have 25 cents to make, and you can make that with\r\n" );
document.write( "either 5 nickels or with 4 nickels and 5 pennies.   That's 2 ways.\r\n" );
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document.write( "If you use 6 dimes, you have 15 cents to make, and you can make that with\r\n" );
document.write( "3 nickels or with 2 nickels and 5 pennies.   That's 2 ways.\r\n" );
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document.write( "If you use 7 dimes, you have 5 cents to make, and you can make that with\r\n" );
document.write( "1 nickels or 5 pennies.   That's 2 ways.\r\n" );
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document.write( "So that's 2+2+2 or 6 ways to use exactly 1 quarter.\r\n" );
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document.write( "3, If you use 2 quarters, you have 50 cents left. So you have to use 2, 3, 4 or\r\n" );
document.write( "5 dimes, because if you used only 1, you'd have only 10 cents, and you couldn't\r\n" );
document.write( "make the remaining 40 cents with only 5 nickels and 7 pennies, for that's only\r\n" );
document.write( "32 cents.\r\n" );
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document.write( "If you use 2 dimes, you have 30 cents to make, and you can only make that with\r\n" );
document.write( "either 5 nickels and 5 pennies.   That's 1 way.\r\n" );
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document.write( "If you use 3 dimes, you have 20 cents to make, and you can make that with \r\n" );
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document.write( "4 nickels or with 3 nickels and 5 pennies.   That's 2 ways.\r\n" );
document.write( "If you use 4 dimes, you have 10 cents to make, and you can make that with\r\n" );
document.write( "2 nickels or 1 nickel and 5 pennies.   That's 2 ways.\r\n" );
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document.write( "If you use 5 dimes, then that the whole 50 cents.  So that's 1 way\r\n" );
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document.write( "So that's 1+2+2+1 = 6 ways to use exactly 2 quarters.\r\n" );
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document.write( "4. If you use 3 quarters, you have 25 cents left. So you don't have to use any\r\n" );
document.write( "dimes or you can use 1 or two dimes. \r\n" );
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document.write( "If you don't use any dimes, then you can use 5 nickels, or 4 nickels and 5\r\n" );
document.write( "pennies.  That's 2 ways.\r\n" );
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document.write( "If you use 1 dime, you have 15 cents to make, and you can make that with either\r\n" );
document.write( "3 nickels or 2 nickels and 5 pennies.   That's 2 ways.\r\n" );
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document.write( "If you use 2 dimes, you have 5 cents to make, and you can make that with\r\n" );
document.write( "1 nickel or 5 pennies.   That's 2 ways.\r\n" );
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document.write( "So that's 2+2+2 or 6 ways to use exactly 3 quarters.\r\n" );
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document.write( "So the total number of ways to have $1 is 3+6+6+6 = 21 ways.\r\n" );
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document.write( "Edwin
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