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:

Australia 1866 Victoria Gold Sovereign NGC MS 61 Scarce in Mint State
Australia 1866 Victoria Gold Sovereign NGC MS 61 Scarce in Mint State
$1,799.99
1893 British gold sovereign QUEEN VICTORIA FREE SHIPPING
1893 British gold sovereign QUEEN VICTORIA FREE SHIPPING
$359.99
1900 M Australia Melbourne gold sovereign QUEEN VICTORIA FREE SHIPPING
1900 M Australia Melbourne gold sovereign QUEEN VICTORIA FREE SHIPPING
$359.99
1899 Great Britain Queen Victoria gold half sovereign
1899 Great Britain Queen Victoria gold half sovereign
$225.00
1905 M Australia Gold Sovereign S 3971 PCGS AU 58 Secure Plus
1905 M Australia Gold Sovereign S 3971 PCGS AU 58 Secure Plus
$449.99
GREAT BRITAIN QUEEN VICTORIA GOLD SOVEREIGN 1873 799 gr 02354 oz 0917 gold
GREAT BRITAIN QUEEN VICTORIA GOLD SOVEREIGN 1873 799 gr 02354 oz 0917 gold
$470.00
Great Britain 2012 NGC FULL GOLD SOVEREIGN COIN DIAMOND JUBILEE DESIGN MS62
Great Britain 2012 NGC FULL GOLD SOVEREIGN COIN DIAMOND JUBILEE DESIGN MS62
$419.00
58010 AUSTRALIA Sovereign 1866 Sydney KM 4 AU50 53 Gold 800
58010 AUSTRALIA Sovereign 1866 Sydney KM 4 AU50 53 Gold 800
$845.00
24562 GREAT BRITAIN 1 2 Sovereign 1817 KM 673 EF40 45 Gold 388
24562 GREAT BRITAIN 1 2 Sovereign 1817 KM 673 EF40 45 Gold 388
$676.00
1913 S Australia Gold 1 Sovereign
1913 S Australia Gold 1 Sovereign
$374.88
Australia Gold Sovereign 1870 AU 58 NGC
Australia Gold Sovereign 1870 AU 58 NGC
$595.00
Australia Gold Sovereign 1867 AU 58 PCGS
Australia Gold Sovereign 1867 AU 58 PCGS
$495.00
1911 George V Bare Head Coronation Gold Proof Half Sovereign Coin PCGS PR64 CAM
1911 George V Bare Head Coronation Gold Proof Half Sovereign Coin PCGS PR64 CAM
$2,399.95
1902 Edward VII Coronation Gold Matt Proof Half Sovereign Coin PCGS PR61
1902 Edward VII Coronation Gold Matt Proof Half Sovereign Coin PCGS PR61
$1,399.95
Great Britain Gold Coin  1 2 Sovereign 1909 Edward VII  KM 804
Great Britain Gold Coin 1 2 Sovereign 1909 Edward VII KM 804
$280.00
Great Britain 1845 Roman I Victoria gold Sovereign NGC AU 58 RRR
Great Britain 1845 Roman I Victoria gold Sovereign NGC AU 58 RRR
$2,799.99
1899 Great Britain QueenVictoriaFull Sovereign Gold Coin Pendant
1899 Great Britain QueenVictoriaFull Sovereign Gold Coin Pendant
$495.00
GREAT BRITAIN QUEEN VICTORIA SOVEREIGN 1864 in 14k Gold Rope Bezel NO RESERVE
GREAT BRITAIN QUEEN VICTORIA SOVEREIGN 1864 in 14k Gold Rope Bezel NO RESERVE
$799.99
22kt gold sovereign half soveriegns coims tokens
22kt gold sovereign half soveriegns coims tokens
$975.00
Set of 4 2008 Great Britain Sovereigns Proof Coins in OGP SKU42997
Set of 4 2008 Great Britain Sovereigns Proof Coins in OGP SKU42997
$3,295.00
2011 Great Britain Gold 1 4 Sovereign PR 69 PCGS 1st Strike SKU 73778
2011 Great Britain Gold 1 4 Sovereign PR 69 PCGS 1st Strike SKU 73778
$144.84
1925 BRITISH SOVEREIGN KING GEORGIVS VDG BRITT OMN REX FD INDIMP GOLD COIN
1925 BRITISH SOVEREIGN KING GEORGIVS VDG BRITT OMN REX FD INDIMP GOLD COIN
$335.00
1879 M Australia 1 Sovereign Gold Coin NGC XF 45 St George
1879 M Australia 1 Sovereign Gold Coin NGC XF 45 St George
$525.00
Great Britain Gold Coin 1 2 Sovereign 1903 Edward VII  KM 804
Great Britain Gold Coin 1 2 Sovereign 1903 Edward VII KM 804
$269.00
QUEEN VICTORIA 1894 Veiled Head FULL GOLD SOVEREIGN Charm 14K Bezel
QUEEN VICTORIA 1894 Veiled Head FULL GOLD SOVEREIGN Charm 14K Bezel
$539.95
Great Britain 1857 Gold Shield Sovereign Victoria Circulated
Great Britain 1857 Gold Shield Sovereign Victoria Circulated
$449.99
2000 Great Britan Gold 1 2 Sovereign MS68 PCGS Milllennium 1st Strike
2000 Great Britan Gold 1 2 Sovereign MS68 PCGS Milllennium 1st Strike
$350.00
1866 AUSTRALIA Victoria Gold Shield Sovereign SYDNEY MINT Issued 1857 to 1870
1866 AUSTRALIA Victoria Gold Shield Sovereign SYDNEY MINT Issued 1857 to 1870
$312.08
1896GOLD SOVEREIGN OLD PORTRAIT GREAT BRITAIN 8 GRAMS
1896GOLD SOVEREIGN OLD PORTRAIT GREAT BRITAIN 8 GRAMS
$362.00
Australia 1892 S Gold Coin Sovereign NGC VF 25 Certified JP110
Australia 1892 S Gold Coin Sovereign NGC VF 25 Certified JP110
$400.00
KAPPYSCOINS 1837 GREAT BRITAIN GOLD SOVEREIGN WILLIAM IV EX EXTRA FINE
KAPPYSCOINS 1837 GREAT BRITAIN GOLD SOVEREIGN WILLIAM IV EX EXTRA FINE
$1,499.99
Great BritainKM 7361Sovereign1856  GOLD  YH  Shield Back  EF AU
Great BritainKM 7361Sovereign1856 GOLD YH Shield Back EF AU
$690.00
1899 S Australia Gold Sovereign MS61 PCGS SOV COIN
1899 S Australia Gold Sovereign MS61 PCGS SOV COIN
$415.00
1979 Great Britain United Kingdom Proof Sovereign
1979 Great Britain United Kingdom Proof Sovereign
$389.00
1888 S Australia Young Victoria Gold Sovereign AU50 Det Free Ship USA x00164
1888 S Australia Young Victoria Gold Sovereign AU50 Det Free Ship USA x00164
$529.99
1832 Great Britain Sovereign Gold Coin High Quality Scans C864
1832 Great Britain Sovereign Gold Coin High Quality Scans C864
$1,258.07
1913 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON
1913 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON
$259.00
1866 SYDNEY AUSTRALIA SOVEREIGN MS62 NGC CATALOG VAL 2000 MS60 4200 MS63
1866 SYDNEY AUSTRALIA SOVEREIGN MS62 NGC CATALOG VAL 2000 MS60 4200 MS63
$2,600.00
P4 1911 GREAT BRITAIN GOLD SOVEREIGN 80 GRAMS NR
P4 1911 GREAT BRITAIN GOLD SOVEREIGN 80 GRAMS NR
$92.64
P5 1904 GREAT BRITAIN GOLD SOVEREIGN 79 GRAMS NR
P5 1904 GREAT BRITAIN GOLD SOVEREIGN 79 GRAMS NR
$93.74



List Of Recently Purchased Sovereign Gold:


australia 1866 victoria gold sovereign ngc ms61 scarce in mint state, 1893 british gold sovereign queen victoria free shipping, 1900m australia melbourne gold sovereign queen victoria free shipping, 1899 great britain queen victoria gold half sovereign, 1905 m australia gold sovereign s3971 pcgs au 58 secure plus, great britain queen victoria gold sovereign 1873 799 gr 02354 oz 0917 gold, great britain 2012 ngc full gold sovereign coin diamond jubilee design ms62, 58010 australia sovereign 1866 sydney km 4 au5053 gold 800, 24562 great britain 12 sovereign 1817 km 673 ef4045 gold 388, 1913s australia gold 1 sovereign , australia gold sovereign 1870 au 58 ngc, australia gold sovereign 1867 au 58 pcgs, 1911 george v bare head coronation gold proof half sovereign coin pcgs pr64 cam, 1902 edward vii coronation gold matt proof half sovereign coin pcgs pr61, great britain gold coin 12 sovereign 1909 edward vii km 804 , great britain 1845 roman i victoria gold sovereign ngc au58 rrr, 1899 great britain queenvictoriafull sovereign gold coin pendant, great britain queen victoria sovereign 1864 in 14k gold rope bezel no reserve, 22kt gold sovereign half soveriegns coims tokens , set of 4 2008 great britain sovereigns proof coins in ogp sku42997, 2011 great britain gold 14 sovereign pr69 pcgs 1st strike sku 73778, 1925 british sovereign king georgivs vdg britt omn rex fd indimp gold coin, 1879 m australia 1 sovereign gold coin ngc xf45 st george, great britain gold coin 12 sovereign 1903 edward vii km 804 , queen victoria 1894 veiled head full gold sovereign charm 14k bezel, great britain 1857 gold shield sovereign victoria circulated, 2000 great britan gold 12 sovereign ms68 pcgs milllennium 1st strike, 1866 australia victoria gold shield sovereign sydney mint issued 1857 to 1870, 1896gold sovereign old portrait great britain 8 grams, australia 1892 s gold coin sovereign ngc vf 25 certified jp110, kappyscoins 1837 great britain gold sovereign william iv ex extra fine, great britainkm7361sovereign1856 gold yh shield back efau , 1899s australia gold sovereign ms61 pcgs sov coin, 1979 great britain united kingdom proof sovereign, 1888s australia young victoria gold sovereign au50 det free ship usa x00164, 1832 great britain sovereign gold coin high quality scans c864, 1913 england gold coin 12 sovereign george v london , 1866 sydney australia sovereign ms62 ngc catalog val $2000 ms60 $4200 ms63, p4 1911 great britain gold sovereign 80 grams nr, p5 1904 great britain gold sovereign 79 grams nr, p6 1888 great britain gold sovereign 80 grams nr, p7 1817 great britain george iii gold sovereign 79 grams nr, p8 1909 great britain gold sovereign 80 grams nr, p9 1911 great britain gold sovereign 80 grams nr, p10 1909 great britain gold half sovereign 39 grams nr, p11 1899 great britain gold sovereign 80 grams nr, p12 1909 great britain gold half sovereign 40 grams nr, p13 1899 great britain gold half sovereign 38 grams nr, p14 1894 great britain gold sovereign 79 grams nr, p15 1909 great britain gold half sovereign 40 grams nr, p16 1905 great britain gold half sovereign 40 grams nr, p17 1902 great britain gold half sovereign 40 grams nr, 1883 young queen victoria great britain gold 12 half sovereign coin, p22 1892 great britain gold sovereign 79 grams nr, p23 1898 great britain gold sovereign 79 grams nr, p24 1958 great britain gold sovereign 80 grams nr, p25 1884 great britain gold sovereign 79 grams nr, great britain 1988 sovereign gold ngc pf70 ultra cameo, 1905 british sovereign gold bullion coin, 1913 great britain 12 sovereign gold george v brilliant great condition, 1820 great britain gold sovereign icg graded ef 45 lot 2246, beautiful stunning 1963 great britain full sovereign gold coin excellent , beautiful stunning 1974 great britain full sovereign gold coin excellent , south africa 1925 sa gold 12 sovereign ngc au58, goldgreat britain sovereign 1853, 1907 king edwardvs vii st george great britain full sovereign 8 grams gold coin, australia 1879s gold sovereign ngc ms62 shield sydney mint, great britain 1866 gold sovereign ngc ms63 shield, great britain 1852 gold shield sovereign au victoria , great britain 1851 gold shield sovereign victoria circulated, great britain 1866 gold shield sovereign victoria circulated, 58012 australia sovereign 1867 sydney km 4 au5558 gold 799, great britain gold sovereign 1965 km908, great britain gold sovereign unc 1962 queen elizabeth ii km908, australia sovereign 1911 sydney mintking george v bu gold coin, rare victoria shield sovereign 1851 doubled date doubled gratia, 450859 great britain edward vii sovereign 1903 au5558 gold km805, 450861 south africa george v sovereign 1925 au5053 gold km21, 450858 great britain george v sovereign 1915 au5558 gold km820, 450860 south africa george v 12 sovereign 1926 au5558 gold km20, uk gold proof 1986 sovereign coins set double full half scottish thistle box coa, 1888s gold sovereign from ww 2 us army air corps pilot pack free usa ship, 2002 golden jubilee 5 five pound sovereign gold proof coin ngc pf70 ultra cameo, 1880 great britain gold half sovereign nice high grade no die number, random date 19572015 britain elizabeth gold sovereign 2354 oz agw sku30537, 1984 st george and the dragon 5 five pound sovereign gold proof coin pcgs pr69 , 1981 st george and the dragon 5 five pound sovereign gold proof coin pcgs pr69 , 1989 500th anniversary 14891989 proof gold double sovereign in original cap, australia 1908m gold sovereign ngc ms63 melbourne mint, australia 1873s gold sovereign ngc xf45 shield sydney mint, great britain 1913 gold sovereign ngc au58, south africa 1928 sa gold sovereign ngc ms64, south africa 1927 sa gold sovereign ngc ms63, great britain victoria 1887 av halfsovereign ngc pr64 ucam km 766 jubilee, great britain victoria 1887 av sovereign ngc pr61 cameo km 767, great britain victoria 1887 av halfsovereign ngc pr63 ultra cameo km 766, great britain george iii 1820 av halfsovereign pcgs ms63 s3786; friedberg 372



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