Answer
Eight lots of 11p, 17p and 21p, and nine lots of 3p and 9p.
Reasoning
For three denominations of stamp I was asked to buy 8 of each, and for the other two denominations I had to buy 9 of each.
So I had to buy at least 8 of all five denominations.
This would be for a total of 8 x (3 + 9 + 11 + 17 + 21) = 488p = £4.88.
The remaining 12p has to buy the remaining 2 stamps, which must have been 3p and 9p.
Double-Checking
9 x 3 = 27
9 x 9 = 81
8 x 11 = 88
8 x 17 = 136
8 x 21 = 168
For a total of 27 + 81 + 88 + 136 + 168 = 500p = £5.
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Puzzle 734
My 6, 7, 3 is a tear to a newspaper.
My 5, 4, 1 is damper than moist.
My 1, 7, 6, 4 is to become weary.
My 5, 7, 6, 9 helps electricity to flow.
My 8, 10, 2 is an attempt at this puzzle.
My whole could have been used to create this puzzle.
The number of days in each month starting from October. The answer could also be 29 for a leap year.
The answer can't be 30, as the question specifically says that the answer is not 30, so it can't be the sequence starting with May.
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Puzzle 736
A woman had three old coins: a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin.
What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total?
For this puzzle it can be assumed that 1/2 a coin is worth 1/2 of its value.