Sovereign Gold

gold fo all occasions puzzle?

Which is worth more, a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces?
the ans given is bucket full of half a sovereign gold pieces...
hw come its possible pls explain in detail

The weight is all that matters. Let's suppose the two types of coins are equal in purity, and that the half sovereign is just a smaller circular cylinder than the sovereign.

You can pack half sovereigns more closely than you can pack sovereigns. That is, there will be less space between coins, since the coins are smaller. [Rigorously proving this statement is probably extremely hard, and I imagine there can be strange bucket shapes such that the full sovereign is the one you want, but in reality the half sovereigns would pack more closely.] As motivation, try tiling a rectangle with circles of a given radius, and then try again with circles of a smaller radius. You'll find you can fit more area in using the smaller circles, since they "mesh" better with the edges.

In any case, a tighter packing means a higher density of gold, so the bucket full of half sovereigns wins.

Find Popular Sovereign Gold At eBay Below:

Victorian 9kt Gold BRACELET w Victoria Half1820 George III Full SOVEREIGN COINS
Victorian 9kt Gold BRACELET w Victoria Half1820 George III Full SOVEREIGN COINS
$995.00
British Queen Elizabeth Sovereign 2010 Gold plated 1 OZ Fine Coin  Br 1
British Queen Elizabeth Sovereign 2010 Gold plated 1 OZ Fine Coin Br 1
$2.99
2013 P GOLD SOVEREIGN PCGS PR70DCAM WITH ORIGINAL JARRA HOLDER BOX
2013 P GOLD SOVEREIGN PCGS PR70DCAM WITH ORIGINAL JARRA HOLDER BOX
$455.00
2009 Great Britain 1 4 Gold Sovereign MS69 917 Gold
2009 Great Britain 1 4 Gold Sovereign MS69 917 Gold
$129.00
2013 ROYAL MINT CORONATION 60TH ANNIVERSARY BU GOLD SOVEREIGN 3 COIN SET BOX COA
2013 ROYAL MINT CORONATION 60TH ANNIVERSARY BU GOLD SOVEREIGN 3 COIN SET BOX COA
$3,999.95
2014 Gold half Sovereign struck in India 3994 grams grams by royal mint
2014 Gold half Sovereign struck in India 3994 grams grams by royal mint
$388.00
1887 2002 GOLDEN JUBILEE ELIZ II VICTORIA GOLD SOVEREIGN 8 COIN SET BOX COA
1887 2002 GOLDEN JUBILEE ELIZ II VICTORIA GOLD SOVEREIGN 8 COIN SET BOX COA
$16,799.95
Medieval English Hammered Gold Pound Sovereign Coin of Queen Elizabeth I 1594
Medieval English Hammered Gold Pound Sovereign Coin of Queen Elizabeth I 1594
$14,500.00
GREAT BRITAIN 1827 KING GEORGE IV SOVEREIGN GOLD COIN SCARCENICE CHOICE VF
GREAT BRITAIN 1827 KING GEORGE IV SOVEREIGN GOLD COIN SCARCENICE CHOICE VF
$415.60
1913 Great Britain George V Gold Sovereign Gold Coin
1913 Great Britain George V Gold Sovereign Gold Coin
$339.99
1911 Great Britain George V Gold Sovereign Gold Coin
1911 Great Britain George V Gold Sovereign Gold Coin
$339.99
1918 P Great Britain George V Gold Sovereign Gold Coin
1918 P Great Britain George V Gold Sovereign Gold Coin
$339.99
1937 GEORGE VI CORONATION GOLD PROOF 5 FIVE POUND SOVEREIGN COIN PCGS PR62 CAM
1937 GEORGE VI CORONATION GOLD PROOF 5 FIVE POUND SOVEREIGN COIN PCGS PR62 CAM
$7,999.95
1892 Great Britain Jubilee Shield 1 2 Sovereign Gold NGC AU 55
1892 Great Britain Jubilee Shield 1 2 Sovereign Gold NGC AU 55
$355.00
PROOF 1984 Great Britain Half Sovereign Original Box United Kingdom
PROOF 1984 Great Britain Half Sovereign Original Box United Kingdom
$375.00
1899 AUSTRALIA MELBURNE MINT GOLD SOVEREIGN COIN VICTORIA AU
1899 AUSTRALIA MELBURNE MINT GOLD SOVEREIGN COIN VICTORIA AU
$549.00
1874 M Australia Full Gold Sovereign XF AU
1874 M Australia Full Gold Sovereign XF AU
$499.99
1877 M Australia Full Gold Sovereign XF AU WOW
1877 M Australia Full Gold Sovereign XF AU WOW
$499.99
1880 London England UK Full Gold Sovereign XF AU WOW 22k
1880 London England UK Full Gold Sovereign XF AU WOW 22k
$499.99
1880 M Australia Full Gold Sovereign XF AU WOW
1880 M Australia Full Gold Sovereign XF AU WOW
$499.99
1882 S Australia Full Gold Sovereign XF AU WOW
1882 S Australia Full Gold Sovereign XF AU WOW
$499.99
1886 S Australia Full Gold Sovereign XF AU WOW
1886 S Australia Full Gold Sovereign XF AU WOW
$499.99
1887 S Australia Full Gold Sovereign XF AU WOW
1887 S Australia Full Gold Sovereign XF AU WOW
$499.99
Rare 1917 British Full 22k Gold Sovereign Coin VGEORGIVS V D G BRITT OMN REX
Rare 1917 British Full 22k Gold Sovereign Coin VGEORGIVS V D G BRITT OMN REX
$305.00
1928 S Gold Great Britain Sovereign George V 22k fine Coin British
1928 S Gold Great Britain Sovereign George V 22k fine Coin British
$320.00
Gold Coin British Sovereign 1912 8 Gram 22 Karat
Gold Coin British Sovereign 1912 8 Gram 22 Karat
$304.00
1925 GREAT BRITAIN GOLD KING GEORGE SOVEREIGN CH GEM BU
1925 GREAT BRITAIN GOLD KING GEORGE SOVEREIGN CH GEM BU
$304.00
1900 M AUSTRALIA GOLD SOVEREIGN  KM 13 Free Shipping  5418
1900 M AUSTRALIA GOLD SOVEREIGN KM 13 Free Shipping 5418
$375.00
1912 GREAT BRITAIN GOLD 1 2 SOVEREIGN  KM 819  HIGH GRADE  5226
1912 GREAT BRITAIN GOLD 1 2 SOVEREIGN KM 819 HIGH GRADE 5226
$189.00
1915 GREAT BRITAIN GOLD SOVEREIGN  KM 820 Free Shipping  5247
1915 GREAT BRITAIN GOLD SOVEREIGN KM 820 Free Shipping 5247
$359.00
Great Britain 1824 George IIII Sovereign Very Sharp Nice Luster
Great Britain 1824 George IIII Sovereign Very Sharp Nice Luster
$875.00
1913 GRBRITAIN GEO V GOLD COIN SOVEREIGN  NGC CERT GENUINE GRADE AU 58 SUPERB
1913 GRBRITAIN GEO V GOLD COIN SOVEREIGN NGC CERT GENUINE GRADE AU 58 SUPERB
$403.71
1911 S Australia Gold Sovereign NGC MS 63 Samaszko Carson City Gold Hoard
1911 S Australia Gold Sovereign NGC MS 63 Samaszko Carson City Gold Hoard
$599.00
South Africa Gold Sovereign 1928 SA NGC MS62
South Africa Gold Sovereign 1928 SA NGC MS62
$339.00
South Africa Gold Sovereign 1926 SA NGC MS62
South Africa Gold Sovereign 1926 SA NGC MS62
$339.00
1914 British HALF Sovereign Gold Coin in 14k Gold Pendant Bezel 49g SHIPS FREE
1914 British HALF Sovereign Gold Coin in 14k Gold Pendant Bezel 49g SHIPS FREE
$249.95
1890 VICTORIA JUBILEE BRITISH SOVEREIGN GOLD COIN
1890 VICTORIA JUBILEE BRITISH SOVEREIGN GOLD COIN
$575.00
1911 S AUSTRALIA GOLD SOVEREIGN MS64 NGC
1911 S AUSTRALIA GOLD SOVEREIGN MS64 NGC
$495.00
AUSTRALIA SOVEREIGN 1917S KM29 aUNC
AUSTRALIA SOVEREIGN 1917S KM29 aUNC
$450.00
Great Britain Sovereign 1827 SCARCE DATE GEORGE IV
Great Britain Sovereign 1827 SCARCE DATE GEORGE IV
$1,299.00



List Of Recently Purchased Sovereign Gold:


victorian 9kt gold bracelet wvictoria halfamp;1820 george iii full sovereign coins, british queen elizabeth sovereign 2010 gold plated 1 oz fine coin br1 , 2013p gold sovereignpcgs pr70dcamwith original jarra holder box , 2009 great britain 14 gold sovereign ms69 917 gold, 2013 royal mint coronation 60th anniversary bu gold sovereign 3 coin set box coa, 2014 gold half sovereign struck in india 3994 grams grams by royal mint, 1887 2002 golden jubilee eliz ii victoria gold sovereign 8 coin set box coa, medieval english hammered gold pound sovereign coin of queen elizabeth i 1594, great britain 1827 king george iv sovereign gold coin scarcenice choice vf, 1913 great britain george v gold sovereign gold coin, 1911 great britain george v gold sovereign gold coin, 1918p great britain george v gold sovereign gold coin, 1937 george vi coronation gold proof 5 five pound sovereign coin pcgs pr62 cam, 1892 great britain jubilee shield 12 sovereign gold ngc au 55, proof 1984 great britain half sovereign original box united kingdom, 1899 australia melburne mint gold sovereign coin victoria au, 1874 m australia full gold sovereign xfau, 1877 m australia full gold sovereign xfau wow, 1880 london england uk full gold sovereign xfau wow 22k, 1880 m australia full gold sovereign xfau wow, 1882 s australia full gold sovereign xfau wow, 1886 s australia full gold sovereign xfau wow, 1887 s australia full gold sovereign xfau wow, rare 1917 british full 22k gold sovereign coin vgeorgivs v d g britt omn rex, 1928s gold great britain sovereign george v 22k fine coin british, gold coin british sovereign 1912 8 gram 22 karat, 1925 great britain gold king george sovereign chgem bu, 1900m australia gold sovereign km 13 free shipping 5418, 1912 great britain gold 12 sovereign km 819 high grade 5226, 1915 great britain gold sovereign km 820 free shipping 5247, great britain 1824 george iiii sovereign very sharp nice luster, 1913 grbritain geo v gold coin sovereign ngc cert genuine grade au 58 superb, 1911s australia gold sovereign ngc ms63 samaszko carson city gold hoard, south africa gold sovereign 1928 sa ngc ms62, south africa gold sovereign 1926 sa ngc ms62, 1914 british half sovereign gold coin in 14k gold pendant bezel 49g ships free, 1890 victoria jubilee british sovereign gold coin, 1911s australia gold sovereign ms64 ngc , australia sovereign 1917s km29 aunc, great britain sovereign 1827 scarce date george iv, rare 1937 proof half sovereign british gold coin george vi only 5001 struck, 22 k elizabeth full sovereign gold coin 1963 , 2000 millenium gold united kingdom queen elizabeth ii proof half sovereign rare, 1928 sa sovereign ms 61 ngc gold, 1926 sa sovereign ms 61 ngc gold, gold full sovereign 1912 , 1915 great britain george v sovereign 22k gold coin with 14k pendant bail nr, 1870 australia gold victoria sovereign, south africa 1925 gold sovereign ngc ms63, 1884m australia gold victoria sovereign, south africa 1928 gold sovereign ngc ms64, 1907 great britain gold king edward sovereign, 1910 great britain gold king edward sovereign, 1917p australia gold king george sovereign chgem bu, 1900 british half sovereign gold coinqueen victoria, 1930sa south africa gold king george sovereign chgem bu, 1931sa south africa gold king george sovereign chgem bu, 1918 australia gold george v sovereign gold coin w coa low opening bid, the 2008 royal mint uk gold proof full sovereign coin low opening bid, the 1984 royal mint uk gold proof full sovereign coin low opening bid, the 2008 royal mint uk gold proof full sovereign coin low opening bid, 1896 s sovereign sidney mint nice , 1925sa south africa gold half sovereign george v, australia 1866 sydney mint sovereign gold coin , cyprus 1966 half sovereign gold proof archbishop makanos iii rare , 2006 great britain two sovereign ngc pf69 pr69 gold , 1885m australia sovereign ngc au58 stgeorge slaying dragon, 1912 gold sovereign, australia1914s george v gold half sovereign a nice coin 22k, prince george royal birth sovereign gold coin 2013 struck on 22nd july 2013, great britain australia 12 gold sovereign 1906 399 gr 01177 oz 0917 gold, 1911 c canada g v gold coin sovereign ngc certif genuine ms 62 fabulous luster, 1925 united kingdom gold sovereign ngc ms65 2354oz, british india 1918 gold sovereign ngc ms64, south africa 1925sa king george v gold sovereign as shown, south africa 1928sa king george v gold sovereign as shown, australia 1902m melbourne king edward vii gold sovereign as shown, great britain 1965 queen elizabeth ii gold sovereign as shown, great britain 1911 king george v gold sovereign as shown, great britain 1908 king edward vii gold sovereign as shown, australia 1919p perth king george v gold sovereign as shown, south africa 1926sa king george v gold sovereign as shown, great britain 1871 queen victoria jubilee gold sovereign as shown, great britain 1925 king george v gold sovereign as shown, australia 1907m melbourne king edward vii gold sovereign as shown, great britain 1909 king edward vii gold sovereign as shown, great britain 1986 three piece gold sovereign set with case and coa as shown, australia 1908p perth king edward vii gold sovereign as shown, great britain 1889 queen victoria jubilee gold sovereign as shown, australia 1881m melbourne young queen victoria gold sovereign as shown, great britain 1991 three piece gold sovereign set with case and coa as shown, south africa 1927sa king george v gold sovereign as shown, australia 1895m melbourne veiled queen victoria gold sovereign as shown, great britain 1900 veiled queen victoria gold sovereign as shown, australia 1889s sydney jubilee queen victoria gold sovereign as shown, australia 1912m melbourne king george v gold sovereign as shown, great britain 1963 queen elizabeth ii gold sovereign coin as shown



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