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:

835 ST GEORGE  DRAGON GOLD COIN1879 S AUSTRALIA SOVEREIGN CHOICE AU KEY
835 ST GEORGE DRAGON GOLD COIN1879 S AUSTRALIA SOVEREIGN CHOICE AU KEY
$1,299.89
RARE1973 C ISLE OF MAN GOLD SOVEREIGN GEM BU QQ26
RARE1973 C ISLE OF MAN GOLD SOVEREIGN GEM BU QQ26
$424.90
1983 UK Proof Gold Sovereign Mint Package and COA
1983 UK Proof Gold Sovereign Mint Package and COA
$350.00
Australia 1886 M Young Victoria Gold Sovereign  High Grade   KM 7
Australia 1886 M Young Victoria Gold Sovereign High Grade KM 7
$375.00
1909 M Gold British Sovereign Melbourne Australia Mint Edward VII 80 Grams
1909 M Gold British Sovereign Melbourne Australia Mint Edward VII 80 Grams
$307.60
1905 S Gold British Sovereign Sydney Australia Mint Edward VII 80 Grams BU
1905 S Gold British Sovereign Sydney Australia Mint Edward VII 80 Grams BU
$310.00
1902 Gold Sovereign London Mint Edward VII 80 Grams
1902 Gold Sovereign London Mint Edward VII 80 Grams
$291.60
1966 Gold Sovereign Royal Mint Elizabeth II Young Head 798 Grams
1966 Gold Sovereign Royal Mint Elizabeth II Young Head 798 Grams
$180.50
Australia 1907M Gold Sovereign NGC MS 63 Melbourne Mint
Australia 1907M Gold Sovereign NGC MS 63 Melbourne Mint
$449.99
1904 Gold British Sovereign London Mint Edward VII 80 Grams
1904 Gold British Sovereign London Mint Edward VII 80 Grams
$280.00
Australia 1907S Gold Sovereign NGC MS 63 Sydney Mint
Australia 1907S Gold Sovereign NGC MS 63 Sydney Mint
$449.99
Half Sovereign Gold Coin 1913
Half Sovereign Gold Coin 1913
$232.00
1892 Half Sovereign Victoria Jubilee Head Shield Back 398 Grams
1892 Half Sovereign Victoria Jubilee Head Shield Back 398 Grams
$167.50
Australia 1887 S Gold 1 Sovereign NGC MS61 Young Head
Australia 1887 S Gold 1 Sovereign NGC MS61 Young Head
$799.95
Great Britain 1925 Gold 1 Sovereign NGC MS65
Great Britain 1925 Gold 1 Sovereign NGC MS65
$474.95
Great Britain 1852 Gold 1 Sovereign Extremely Fine EF XF Shield Type
Great Britain 1852 Gold 1 Sovereign Extremely Fine EF XF Shield Type
$499.95
Great Britain 1853 Gold 1 Sovereign Extremely Fine EF XF Shield Type Raised WW
Great Britain 1853 Gold 1 Sovereign Extremely Fine EF XF Shield Type Raised WW
$599.95
1930 PGOLD SOVEREIGN AUSTRALIA SCARCE NGC AU 58
1930 PGOLD SOVEREIGN AUSTRALIA SCARCE NGC AU 58
$510.00
Great Britain 1861 Gold 1 Sovereign Extremely Fine EF XF Shield Type
Great Britain 1861 Gold 1 Sovereign Extremely Fine EF XF Shield Type
$449.95
Prince George Royal Birth Sovereign Gold Coin 2013 Struck on 22nd July 2013
Prince George Royal Birth Sovereign Gold Coin 2013 Struck on 22nd July 2013
$1,844.81
1898 BRITISH 22K GOLD SOVEREIGN COIN QUEEN VICTORIA CHARM PENDANT
1898 BRITISH 22K GOLD SOVEREIGN COIN QUEEN VICTORIA CHARM PENDANT
$699.00
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type
$429.95
1985 Great Britain 5 Sovereign NGC MS67
1985 Great Britain 5 Sovereign NGC MS67
$2,100.00
Great Britain 1864 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 93
Great Britain 1864 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 93
$399.95
Great Britain 1869 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 45
Great Britain 1869 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 45
$399.95
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 23
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 23
$399.95
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 26
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 26
$399.95
AUSTRALIA 1901 Melbourne Mint Full Sovereign Queen Victoria
AUSTRALIA 1901 Melbourne Mint Full Sovereign Queen Victoria
$450.00
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 74
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 74
$399.95
1958 GREAT BRITAIN QUEEN ELIZABETH II SOVEREIGN GOLD COIN BU
1958 GREAT BRITAIN QUEEN ELIZABETH II SOVEREIGN GOLD COIN BU
$319.00
1966 GOLD QUEEN ELIZABETH THE SECOND SOVEREIGN A LUSTROUS OLD BU GRADE COIN AA+
1966 GOLD QUEEN ELIZABETH THE SECOND SOVEREIGN A LUSTROUS OLD BU GRADE COIN AA+
$319.99
1957 GOLD QUEEN ELIZABETH THE SECOND SOVEREIGN A LUSTROUS OLD BU GRADE COIN AA+
1957 GOLD QUEEN ELIZABETH THE SECOND SOVEREIGN A LUSTROUS OLD BU GRADE COIN AA+
$324.99
Great Britain 1855 WW Incused Gold Sovereign NGC MS 61 NO RESERVE
Great Britain 1855 WW Incused Gold Sovereign NGC MS 61 NO RESERVE
$406.57
1905 BRITAIN GOLD COIN EDWARDVS VII D G BRITT OMN REX FD IND 1 2 SOVEREIGN
1905 BRITAIN GOLD COIN EDWARDVS VII D G BRITT OMN REX FD IND 1 2 SOVEREIGN
$369.99
1825 Great Britain Gold Sovereign EF40 Details ANACS
1825 Great Britain Gold Sovereign EF40 Details ANACS
$525.00
1902 M Australia Uncirculated Gold Sovereign PCGS MS 62 134064
1902 M Australia Uncirculated Gold Sovereign PCGS MS 62 134064
$399.00
1911P Australia Gold Sovereign NGC AU 58 134092
1911P Australia Gold Sovereign NGC AU 58 134092
$399.00
1905P Australia Gold Sovereign NGC MS 62 134071
1905P Australia Gold Sovereign NGC MS 62 134071
$449.00
1912 Great Britain Gold Sovereign NGC AU 58 134098
1912 Great Britain Gold Sovereign NGC AU 58 134098
$350.00
1907M Australia Uncirculated Gold Sovereign NGC MS 62 134080
1907M Australia Uncirculated Gold Sovereign NGC MS 62 134080
$379.00



List Of Recently Purchased Sovereign Gold:


835 st george amp; dragon gold coin1879 s australia sovereign choice au key, rare1973 c isle of man gold sovereign gem bu qq26, 1983 uk proof gold sovereign mint package and coa, australia 1886m young victoria gold sovereign high grade km 7 , 1909 m gold british sovereign melbourne australia mint edward vii 80 grams , 1905 s gold british sovereign sydney australia mint edward vii 80 grams bu, 1902 gold sovereign london mint edward vii 80 grams , 1966 gold sovereign royal mint elizabeth ii young head 798 grams , australia 1907m gold sovereign ngc ms63 melbourne mint, 1904 gold british sovereign london mint edward vii 80 grams, australia 1907s gold sovereign ngc ms63 sydney mint, half sovereign gold coin 1913, 1892 half sovereign victoria jubilee head shield back 398 grams, australia 1887s gold 1 sovereign ngc ms61 young head, great britain 1925 gold 1 sovereign ngc ms65, great britain 1852 gold 1 sovereign extremely fine ef xf shield type, great britain 1853 gold 1 sovereign extremely fine ef xf shield type raised ww, 1930pgold sovereign australia scarce ngc au58, great britain 1861 gold 1 sovereign extremely fine ef xf shield type, prince george royal birth sovereign gold coin 2013 struck on 22nd july 2013, 1898 british 22k gold sovereign coin queen victoria charm pendant, great britain 1872 gold 1 sovereign extremely fine ef xf shield type, 1985 great britain 5 sovereign ngc ms67, great britain 1864 gold 1 sovereign extremely fine ef xf shield type die 93, great britain 1869 gold 1 sovereign extremely fine ef xf shield type die 45, great britain 1871 gold 1 sovereign extremely fine ef xf shield type die 23, great britain 1871 gold 1 sovereign extremely fine ef xf shield type die 26, australia 1901 melbourne mint full sovereign queen victoria , great britain 1872 gold 1 sovereign extremely fine ef xf shield type die 74, 1958 great britain queen elizabeth ii sovereign gold coin bu, 1966 gold queen elizabeth the second sovereigna lustrous oldbu grade coin aa, 1957 gold queen elizabeth the second sovereigna lustrous oldbu grade coin aa, great britain 1855 ww incused gold sovereign ngc ms 61 no reserve, 1905 britain gold coin edwardvs vii d g britt omn rex fd ind 12 sovereign, 1825 great britain gold sovereign ef40 details anacs , 1902m australia uncirculated gold sovereign pcgs ms62 134064, 1911p australia gold sovereign ngc au58 134092, 1905p australia gold sovereign ngc ms62 134071, 1912 great britain gold sovereign ngc au58 134098, 1907m australia uncirculated gold sovereign ngc ms62 134080, 1905s australia uncirculated gold sovereign ngc ms62 134072, 1906p australia uncirculated gold sovereign ngc ms61 134074, 1907p australia gold sovereign ngc au58 134081, 1912 great britain uncirculated gold sovereign ngc ms63 134099, 1907m australia uncirculated gold sovereign ngc ms63 134083, 1910s australia gold sovereign ngc ms62 samaszko carson city gold hoard 134091, 1907p australia gold sovereign ngc au58, 1907p australia uncirculated gold sovereign ngc ms62 134082, 1907p australia uncirculated gold sovereign ngc ms62, 1914 great britain uncirculated gold sovereign ngc ms63 134108, 1911 great britain gold sovereign ngc ms63 134094, 1917 p australia gold sovereign king george v ngc ms 63, 1918i uncirculated indiabritish gold sovereign ngc ms63 great coin, 1918m australia gold sovereign ngc ms62 134116, 1918p australia uncirculated gold sovereign ngc ms63 134118, 1917p australia gold sovereign ngc ms63 samaszko carson city gold hoard 134113, 1918p australia gold sovereign ngc ms62 samaszko carson city gold hoard 134117, 1926sa south africa uncirculated gold sovereign ngc ms64 134128, 1927sa south africa uncirculated gold sovereign ngc ms64 134131, 1930sa south africa uncirculated gold sovereign ngc ms63 134140, 1932sa south africa uncirculated gold sovereign ngc ms62 134142, 1983 great britain proof gold 2 sovereigns 2 pounds ngc pf69 uc 136051, 2000 great britain gold sovereign millennium 1st strike pcgs ms66 135955, 1872 great britain gold sovereign st george ngc xf 40, 1915 great britain gold sovereign king george ngc ms63, 1885 great britain gold sovereign queen victoria rare low mint ngc xf details, 1885 great britain gold sovereign queen victoria ngc au 55 rare low mintage, 1914 great britain gold half 12 sovereign king george v head ngc ms64, 1892 m australia gold sovereign victoria jubilee melbourne ngc au 50, 1877 m australia gold sovereign st george melbourne ngc au 55, 1877 m australia gold sovereign st george melbourne ngc au 53, 1912 georgivs v dg brittomn rex imp king george v british sovereign gold coin, 1875 m australia gold sovereign melbourne ngc xf 45, 1958 britain qe ii gold coin sovereign ngc cert genuine ms 64 pristine lustera, 1922p australia gold sovereign ngc ms63 george v, 1913s australia gold sovereign ngc ms64 george v, australian 1896 melbourne mint queen victoria veiled head gold sovereigna gem, circulated 1911 british gold half sovereign no reserve g83, 1890 rare queen victoria jubilee head gold sovereign australia britt reg f d , 1895 g britain gold 1 sovereign ngc ms63 queen victoria veiled head, great britain 1910 gold sovereign ngc au58, 1883m great britain queen victoriaan early head gold sovereignlu, 1884s great britain queen victoriaan early head gold sovereignlustrousdetail, 1926 georgivs v dg brittomn rex imp king george v british sovereign gold coin, 1932 georgivs v dg brittomn rex imp king george v british sovereign gold coin, victorian 9kt gold bracelet wvictoria halfamp;1820 george iii full sovereign coins, 1912 gold coin sovereign great britain king st george v slaying dragon 14 oz, great britain 1849 roman i victoria gold sovereign ngc au58 rrr, 1886 australia melburn mint gold coin sovereign victoria young head , reduced 1989 tudor rose gold proof full sovereign coin box amp; coa only , 2012 great britain 4piece proof gold sovereign set pcgs pr70dcam 1st strike, 1910 british gold 12 sovereign, 1900 s victoria gold half sovereign australia rare, 1912sgold sovereign australia brilliant unc, 1913mgold sovereign australia brilliant unc, 1918pgold sovereign australia brilliant unc, 1922pgold sovereign australia brilliant unc



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