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:

1922P Australia Gold Sovereign NGC MS63 George V
1922P Australia Gold Sovereign NGC MS63 George V
$495.00
1913S Australia Gold Sovereign NGC MS64 George V
1913S Australia Gold Sovereign NGC MS64 George V
$525.00
1895 G BRITAIN GOLD 1 SOVEREIGN NGC MS63 Queen Victoria Veiled Head
1895 G BRITAIN GOLD 1 SOVEREIGN NGC MS63 Queen Victoria Veiled Head
$3,000.00
Great Britain 1910 Gold Sovereign NGC AU 58
Great Britain 1910 Gold Sovereign NGC AU 58
$399.99
1892 GREAT BRITAIN GOLD 1 2 SOVEREIGN
1892 GREAT BRITAIN GOLD 1 2 SOVEREIGN
$199.00
1914 GREAT BRITAIN GOLD 1 2 SOVEREIGN
1914 GREAT BRITAIN GOLD 1 2 SOVEREIGN
$149.00
GREAT BRITAIN 1826 GOLD SOVEREIGN OUTSTANDING PROOF ULTRA CAMEO
GREAT BRITAIN 1826 GOLD SOVEREIGN OUTSTANDING PROOF ULTRA CAMEO
$5,100.00
1925 GOLD FULL BRITISH SOVEREIGN COIN KING GEORGE
1925 GOLD FULL BRITISH SOVEREIGN COIN KING GEORGE
$359.99
1886 AUSTRALIA MELBURN MINT GOLD COIN SOVEREIGN VICTORIA YOUNG HEAD
1886 AUSTRALIA MELBURN MINT GOLD COIN SOVEREIGN VICTORIA YOUNG HEAD
$549.00
1884 S GREAT BRITAIN QUEEN VICTORIA AN EARLY HEAD GOLD SOVEREIGN LUSTROUS DETAIL
1884 S GREAT BRITAIN QUEEN VICTORIA AN EARLY HEAD GOLD SOVEREIGN LUSTROUS DETAIL
$329.99
AUSTRALIAN 1896 MELBOURNE MINT QUEEN VICTORIA VEILED HEAD GOLD SOVEREIGN A GEM
AUSTRALIAN 1896 MELBOURNE MINT QUEEN VICTORIA VEILED HEAD GOLD SOVEREIGN A GEM
$329.99
1899 P AUSTRALIA QUEEN VICTORIA GOLD SOVEREIGN AU KEY DATE PERTH MINT KM13
1899 P AUSTRALIA QUEEN VICTORIA GOLD SOVEREIGN AU KEY DATE PERTH MINT KM13
$939.99
1910 BRITISH GOLD 1 2 SOVEREIGN
1910 BRITISH GOLD 1 2 SOVEREIGN
$199.95
1913 GOLD COIN Sovereign Great Britain King St George V slaying dragon
1913 GOLD COIN Sovereign Great Britain King St George V slaying dragon
$293.98
GREAT BRITAIN 1981 GOLD COIN SOVEREIGN 799 gr 02354 oz 0917 gold AU
GREAT BRITAIN 1981 GOLD COIN SOVEREIGN 799 gr 02354 oz 0917 gold AU
$297.00
1900 S VICTORIA GOLD HALF SOVEREIGN AUSTRALIA RARE
1900 S VICTORIA GOLD HALF SOVEREIGN AUSTRALIA RARE
$355.00
1918 P AUSTRALIA G V GOLD COIN SOVEREIGN  NGC CERT GENUINE MS 61 BOLD LUSTER a
1918 P AUSTRALIA G V GOLD COIN SOVEREIGN NGC CERT GENUINE MS 61 BOLD LUSTER a
$459.95
1913 S British Gold Full Sovereign UNC
1913 S British Gold Full Sovereign UNC
$320.00
1917 P British Full Gold Sovereign UNC
1917 P British Full Gold Sovereign UNC
$304.00
1883 M GREAT BRITAIN QUEEN VICTORIA AN EARLY HEAD GOLD SOVEREIGN LUSTROUS DETAIL
1883 M GREAT BRITAIN QUEEN VICTORIA AN EARLY HEAD GOLD SOVEREIGN LUSTROUS DETAIL
$329.99
1925GOLD SOVEREIGN GREAT BRITAIN BRILLIANT UNC
1925GOLD SOVEREIGN GREAT BRITAIN BRILLIANT UNC
$470.00
1915 SGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
1915 SGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
$470.00
1922 PGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
1922 PGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
$470.00
1918 PGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
1918 PGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
$470.00
1913 MGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
1913 MGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
$470.00
1912 SGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
1912 SGOLD SOVEREIGN AUSTRALIA BRILLIANT UNC
$470.00
24605 Belgium Brabant Philippe IV of Spain Double Sovereign
24605 Belgium Brabant Philippe IV of Spain Double Sovereign
$14,269.00
1908 GOLD BRITAIN COIN EDWARDVS VII D G BRITT OMN REX FD IND SOVEREIGN
1908 GOLD BRITAIN COIN EDWARDVS VII D G BRITT OMN REX FD IND SOVEREIGN
$290.00
UK 1857 Sovereign Victoria EF
UK 1857 Sovereign Victoria EF
$480.00
UK 1832 Sovereign William IV VF
UK 1832 Sovereign William IV VF
$1,200.00
UK 1887 Half Sovereign Victoria VF+
UK 1887 Half Sovereign Victoria VF+
$260.00
UK 1873 Sovereign Victoria S EF+
UK 1873 Sovereign Victoria S EF+
$480.00
UK 1853 Sovereign Victoria WW Incuse F+
UK 1853 Sovereign Victoria WW Incuse F+
$480.00
UK 1852 Half Sovereign Vitoria Wide Date VF
UK 1852 Half Sovereign Vitoria Wide Date VF
$420.00
UK 1855 Sovereign Victoria DOUBLE GRATIA VF
UK 1855 Sovereign Victoria DOUBLE GRATIA VF
$465.00
UK 1852 Sovereign Victoria VF+
UK 1852 Sovereign Victoria VF+
$470.00
UK 1843 Sovereign Victoria Small 4 F+
UK 1843 Sovereign Victoria Small 4 F+
$600.00
UK 1862 Sovereign Victoria Wide date EF
UK 1862 Sovereign Victoria Wide date EF
$480.00
UK 1869 Sovereign Victoria DEI DBL Strike VF
UK 1869 Sovereign Victoria DEI DBL Strike VF
$420.00
Australia Sovereign 1867
Australia Sovereign 1867
$600.00



List Of Recently Purchased Sovereign Gold:


1922p australia gold sovereign ngc ms63 george v, 1913s australia gold sovereign ngc ms64 george v, 1895 g britain gold 1 sovereign ngc ms63 queen victoria veiled head, great britain 1910 gold sovereign ngc au58, 1892 great britain gold 12 sovereign, 1914 great britain gold 12 sovereign, great britain 1826 gold sovereign outstanding proof ultra cameo, 1925 gold full british sovereign coin king george, 1886 australia melburn mint gold coin sovereign victoria young head , 1884s great britain queen victoriaan early head gold sovereignlustrousdetail, australian 1896 melbourne mint queen victoria veiled head gold sovereigna gem, 1899p australia queen victoria gold sovereign au key date perth mint km13, 1910 british gold 12 sovereign, 1913 gold coin sovereign great britain king st george v slaying dragon, great britain 1981 gold coin sovereign 799 gr 02354 oz 0917 gold au, 1900 s victoria gold half sovereign australia rare, 1918 p australia g v gold coin sovereign ngc cert genuine ms 61 bold luster a, 1913s british gold full sovereignunc, 1917p british full gold sovereignunc, 1883m great britain queen victoriaan early head gold sovereignlustrousdetail, 1925gold sovereign great britain brilliant unc, 1915sgold sovereign australia brilliant unc, 1922pgold sovereign australia brilliant unc, 1918pgold sovereign australia brilliant unc, 1913mgold sovereign australia brilliant unc, 1912sgold sovereign australia brilliant unc, 24605 belgium brabant philippe iv of spain double sovereign, 1908 gold britain coin edwardvs vii d g britt omn rex fd ind sovereign, uk 1857 sovereign victoria ef, uk 1832 sovereign william iv vf, uk 1887 half sovereign victoria vf, uk 1873 sovereign victoria s ef, uk 1853 sovereign victoria ww incuse f, uk 1852 half sovereign vitoria wide date vf, uk 1855 sovereign victoria double gratia vf, uk 1852 sovereign victoria vf, uk 1843 sovereign victoria small 4 f, uk 1862 sovereign victoria wide date ef, uk 1869 sovereign victoria dei dbl strike vf, australia sovereign 1867, 1914 king george v gold sovereign 02354 ozt, 1901 british sovereign m gold coin 02354 ozt, gold full sovereigns, 1910 king edward vii great britain gold sovereign au or better , 1912 georgivs v dg brittomn rex imp king george v british sovereign gold coin, 1911 c canada g v gold coin sovereign ngc cert genuine ms 62 amazing luster a, australia 1912 s sydney gold coin full sovereign king george v ngc au58, great britain sovereign victoria gold 1899 st george km 785, 1899p australia gold sovereign ngc au 50 queen victoria veiled head perth, 1887 queen victoria half sovereign gold coin great britain london jubilee head, australia 1920 perth mint gold coin full sovereign king george v ngc au58, 1958 great britain elizabeth gold sovereign 1s pcgs ms65 gem bu rare grade, 1987 danbury mint our royal sovereigns british monarchs 925 22kt gold coins, 1926 sa gold south africa king george v sovereign ngc mint state 63, 1910 edwardvs vii d g britt omn rex f d ind impgold 12 sovereign coin , 1869 gold great britain shield sovereign coin ngc extremely fine 45, 1917cgold full sovereign, australia gold victoria 1866 12 half sovereign low mintage 154000 sydney km 3 , 1989 gold double proof sovereign500 anniversary original box and coa , 1958 great britain elizabeth gold sovereign 1s pcgs ms64 bu rare grade, 1989 great britain 500th anniversary 3 gold sovereign coins set wpcgs pr , one 1989 double sovereign 500th anniversary ngcpf69 ultra cameo gold coin , 2008 gold great britain 12 sovereign ngc proof 70 ultra cameo, 1987 united kingdom great britain proof 1 sovereign gold deep ultra cameo, 1908 gold great britain sovereign dragon slayer ngc mint state 63, king edward vii great britain 1910 gold sovereign coin, great britain 1888 victoria sovereign gold coin, great britain 1900 victoria sovereign gold coin, australia 1879m victoria gold sovereign ngc ms61, 1957 great britain gold sovereign chgem bu, 1910 great britain gold king edward sovereign, great britain 1925 sovereign necklace george v , 1908 edward vii half sovereign gold coin 1177 ounces of gold, 1917 p australia unc gold george v sovereign the hard money that built an empire, 1918 p australia unc gold george v sovereign the hard money that built an empire, victorian 9kt gold bracelet wvictoria halfamp;1820 george iii full sovereign coins, 1837 great britain sovereign 917 gold coin, 1842 great britain sovereign 917 gold coin, 1845 great britain sovereign 917 gold coin, 1862 great britain sovereign 917 gold coin, 1863 great britain sovereign 917 gold coin, 1864 great britain sovereign 917 gold coin, 1872 great britain sovereign 917 gold coin, 1879 great britain sovereign 917 gold coin, 1855 great britain sovereign 917 gold coin, 1863 great britain sovereign 917 gold coin, 1869 great britain sovereign 917 gold coin, 1874 great britain sovereign 917 gold coin, 1876 great britain sovereign 917 gold coin, 1877 great britain sovereign 917 gold coin, 1885 great britain sovereign 917 gold coin, 1887 great britain sovereign 917 gold coin, 1891 great britain sovereign 917 gold coin, 1892 great britain sovereign 917 gold coin, great britain 1910 sovereign ngc ms62 km805 02354 oz gold, great britain 1909 sovereign ngc ms62 km805 02354 oz gold, great britain 1908 sovereign ngc ms62 km805 02354 oz gold



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