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 1913S Gold Sovereign NGC MS 63 Sydney Mint
Australia 1913S Gold Sovereign NGC MS 63 Sydney Mint
$449.99
Australia 1907M Gold Sovereign NGC MS 61 Melbourne Mint
Australia 1907M Gold Sovereign NGC MS 61 Melbourne Mint
$399.99
2013 P Australia Proof Gold 25 Sovereign PR 70 PCGS
2013 P Australia Proof Gold 25 Sovereign PR 70 PCGS
$419.79
Australia 1919 P King George V Sovereign Gold PCGS MS63
Australia 1919 P King George V Sovereign Gold PCGS MS63
$560.43
1989 Great Britain Gold Sovereign 500th Anniv PF 69 NGC
1989 Great Britain Gold Sovereign 500th Anniv PF 69 NGC
$1,301.04
2009 Australia Gold Sovereign Gem Proof PCGS FS First Year
2009 Australia Gold Sovereign Gem Proof PCGS FS First Year
$393.76
Great Britain 1864 Gold Shield Sovereign Victoria Circulated
Great Britain 1864 Gold Shield Sovereign Victoria Circulated
$424.99
Great Britain 1853 Gold Shield Sovereign Victoria Circulated
Great Britain 1853 Gold Shield Sovereign Victoria Circulated
$449.99
Great Britain 1862 Gold Shield Sovereign Victoria Circulated
Great Britain 1862 Gold Shield Sovereign Victoria Circulated
$424.99
2015 P Australia Proof Gold 25 Sovereign PR 69 PCGS
2015 P Australia Proof Gold 25 Sovereign PR 69 PCGS
$523.97
2017 Australia Gold Half Sovereign Proof
2017 Australia Gold Half Sovereign Proof
$249.99
2017 Australia Gold Sovereign Proof
2017 Australia Gold Sovereign Proof
$447.91
1894 GREAT BRITAIN VICTORIA GOLD HALF SOVEREIGN COIN BU IN CASE LONDON MINT
1894 GREAT BRITAIN VICTORIA GOLD HALF SOVEREIGN COIN BU IN CASE LONDON MINT
$289.00
2013 P Australia Gold Sovereign PR 69 PCGS First Strike
2013 P Australia Gold Sovereign PR 69 PCGS First Strike
$406.24
2007 Great Britain Gold 1 2 Sovereign PR 69 PCGS
2007 Great Britain Gold 1 2 Sovereign PR 69 PCGS
$235.94
1899 GOLD FULL SOVEREIGN QUEEN VICTORIA GREAT BRITAIN KM785
1899 GOLD FULL SOVEREIGN QUEEN VICTORIA GREAT BRITAIN KM785
$395.30
1983 PROOF SOVEREIGN GREAT BRITAIN 917 GOLD 2354 AGW
1983 PROOF SOVEREIGN GREAT BRITAIN 917 GOLD 2354 AGW
$339.00
1866 Australia Sovereign Sydney Mint
1866 Australia Sovereign Sydney Mint
$777.77
1887 GREAT BRITAIN  GOLD SOVEREIGN  JUBILEE HEAD UK COIN BU UNCIRCULATED
1887 GREAT BRITAIN GOLD SOVEREIGN JUBILEE HEAD UK COIN BU UNCIRCULATED
$471.16
1894 Victoria full sovereign gold coin London mint XF
1894 Victoria full sovereign gold coin London mint XF
$449.00
1914 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON
1914 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON
$299.00
1905 ENGLAND GOLD COIN HALF SOVEREIGN EDWARD VII LONDON XF++
1905 ENGLAND GOLD COIN HALF SOVEREIGN EDWARD VII LONDON XF++
$249.00
Great Britain 1876 Victoria Sovereign Gold Coin
Great Britain 1876 Victoria Sovereign Gold Coin
$455.40
1896 Gold Half 1 2 Sovereign Victoria and Dragon  Old Head  4
1896 Gold Half 1 2 Sovereign Victoria and Dragon Old Head 4
$490.00
1870 Victoria Sydney Mint Gold coin Sovereign CERTIFIED AU 53
1870 Victoria Sydney Mint Gold coin Sovereign CERTIFIED AU 53
$825.00
Sovereign Gold Set 1842 1889M 1894 1902S 1918S 1980
Sovereign Gold Set 1842 1889M 1894 1902S 1918S 1980
$2,700.00
RARE DATE 1865 S Victoria Sydney Mint Gold coin Sovereign
RARE DATE 1865 S Victoria Sydney Mint Gold coin Sovereign
$2,500.00
1998 Gold Proof Half Sovereign with Case and Certificate 3677
1998 Gold Proof Half Sovereign with Case and Certificate 3677
$245.00
gold sovereign1987 proof
gold sovereign1987 proof
$369.99
gold half sovereign 1987 proof
gold half sovereign 1987 proof
$214.99
GOLD COIN 1909 UK Great Britain King Edward Gold Sovereign
GOLD COIN 1909 UK Great Britain King Edward Gold Sovereign
$499.00
GREAT BRITAIN BRITISH 1963 SOVEREIGN GOLD COIN ELIZABETH II PCGM NICE GRADE 2
GREAT BRITAIN BRITISH 1963 SOVEREIGN GOLD COIN ELIZABETH II PCGM NICE GRADE 2
$389.99
14 k Solid Gold Ring set 1 2 SOVEREIGN Victoria Jubilee Head 22k Gold Coin Sz 6
14 k Solid Gold Ring set 1 2 SOVEREIGN Victoria Jubilee Head 22k Gold Coin Sz 6
$650.00
1892 GREAT BRITAIN 1 2 Sovereign GOLD Coin RARE SHIELD VARIETY in HIGH Grade
1892 GREAT BRITAIN 1 2 Sovereign GOLD Coin RARE SHIELD VARIETY in HIGH Grade
$499.99
Great Britain 2012 Gold Sovereign Jubilee Early Strike Proof PCGS PR70DCAM
Great Britain 2012 Gold Sovereign Jubilee Early Strike Proof PCGS PR70DCAM
$1,840.00
1980 Queen Elizabeth II Great Britain Gold Proof Sovereign Coin with COA Case
1980 Queen Elizabeth II Great Britain Gold Proof Sovereign Coin with COA Case
$475.00
1980 Queen Elizabeth II Great Britain Gold Proof 1 2 Half Sovereign Coin w COA
1980 Queen Elizabeth II Great Britain Gold Proof 1 2 Half Sovereign Coin w COA
$269.00
Australia 1870 Gold Sovereign NGC AU 58 Sydney Mint
Australia 1870 Gold Sovereign NGC AU 58 Sydney Mint
$999.99
Great Britain 1861 Gold Sovereign NGC AU 55
Great Britain 1861 Gold Sovereign NGC AU 55
$524.99
2009 Great Britain 1 4 Sovereign Gold NGC PF 70 UC Proof Royal Mint UK SOV
2009 Great Britain 1 4 Sovereign Gold NGC PF 70 UC Proof Royal Mint UK SOV
$198.00



List Of Recently Purchased Sovereign Gold:


australia 1913s gold sovereign ngc ms63 sydney mint, australia 1907m gold sovereign ngc ms61 melbourne mint, 2013p australia proof gold $25 sovereign pr70 pcgs, australia 1919p king george v sovereign gold pcgs ms63, 1989 great britain gold sovereign 500th anniv pf69 ngc, 2009 australia gold sovereign gem proof pcgs fs first year, great britain 1864 gold shield sovereign victoria circulated, great britain 1853 gold shield sovereign victoria circulated, great britain 1862 gold shield sovereign victoria circulated, 2015p australia proof gold $25 sovereign pr69 pcgs, 2017 australia gold half sovereign proof, 2017 australia gold sovereign proof, 1894 great britain victoria gold half sovereign coin bu in case london mint , 2013p australia gold sovereign pr69 pcgs first strike, 2007 great britain gold 12 sovereign pr69 pcgs, 1899 gold full sovereign queen victoria great britain km785, 1983 proof sovereign great britain 917 gold 2354 agw, 1866 australia sovereign sydney mint, 1887 great britain gold sovereign jubilee head uk coin bu uncirculated, 1894 victoria full sovereign gold coin london mint xf, 1914 england gold coin 12 sovereign george v london , 1905 england gold coin half sovereign edward vii london xf, great britain 1876 victoria sovereign gold coin, 1896 gold half 12 sovereign victoria and dragon old head 4, 1870 victoria sydney mint gold coin sovereign certified au53 , sovereign gold set 1842 1889m 1894 1902s 1918s 1980 , rare date 1865s victoria sydney mint gold coin sovereign , 1998 gold proof half sovereign with case and certificate 3677, gold sovereign1987 proof, gold half sovereign 1987 proof, gold coin 1909 uk great britain king edward gold sovereign, great britain british 1963 sovereign gold coin elizabeth ii pcgm nice grade 2, 14 k solid gold ring set 12 sovereign victoria jubilee head 22k gold coin sz 6 , 1892 great britain 12 sovereign gold coin rare shield variety in high grade, great britain 2012 gold sovereign jubilee early strike proof pcgs pr70dcam, 1980 queen elizabeth ii great britain gold proof sovereign coin with coa case, 1980 queen elizabeth ii great britain gold proof 12 half sovereign coin w coa, australia 1870 gold sovereign ngc au58 sydney mint, great britain 1861 gold sovereign ngc au55, 2009 great britain 14 sovereign gold ngc pf 70 uc proof royal mint uk sov, 1984 uk great britain proof gold half sovereign coin box coa sealed unopened, 1985 uk great britain proof gold sovereign coin box coa sealed unopened, 1984 uk great britain proof gold half sovereign coin box coa, great britain queen victoria sovereign 1863 2 799 gr 02354 oz 0917 gold, great britain elizabeth ii 2009 av quartersovereign ngc pr70ucam scbc4445, great britain elizabeth ii 2009 av quartersovereign ngc pr70ucam scbc4445, 1980 uk great britain proof gold half sovereign coin box coa, 1982 uk great britain proof gold sovereign coin box coa, 1887 great britain 12 sovereign jubilee head ngc unc det surface hairlines, 1821 great britain sovereign ngc au53, 1979 uk great britain proof gold sovereign coin box, australia george v gold sovereign 1912s ms65 ngc sydney, 1931sa south africa sovereign 1 sov south african gold coin anacs ms63, 1867 australia gold sovereign fine details ngc , 1875s australia gold sovereign st george xf40 ngc wings , 1899m australia sovereign sov australian gold coin anacs au50 details cleaned, great britain 1980 gold 12 sovereign ngc pf69 ult cameo, 1982 proof half sovereign 22 carat gold coin royal mint, 1983 12 sovereign gold great britain half sov coin ngc pf69 ultra cameo uk bu, 1982 gold sovereign great britain sov uk coin ngc ms65 bu gem, 1982 gold sovereign great britain sov uk coin ngc ms66 bu gem, 2013i india gold sovereign 1sov royal mint ngc gem uncirculated, 2014p $25 australia perth mint sovereign gold coin pcgs pr69dcam first strike, 2014 full gold sovereign mule error coin, 1925sa south africa sovereign gold coin anacs ef45, 1928sa south africa sovereign gold coin anacs au58, 1899s australia gold sovereign ms62 pcgs sov coin, 1928sa south africa sovereign gold coin anacs ms62, 1930sa south africa sovereign gold coin anacs ms63, 1900m australia gold sovereign bu coin ms61 pcgs sov km13 veiled head, 2006 great britain gold sovereign elizabeth ii uncirculated c70, australia 25 dollars sovereign 2005 gold proof , 1911s australia sovereign pcgs ms63 s4003, 1903m australia sovereign pcgs ms61 melbourne s3971, great britain 1925 gold sovereign ngc ms63, great britain 1829 george iv gold sovereign ngc au58 rare, australia 2005 gold sovereign $25 ngc gem proof 150th anniversary firstsovereign, 1908 great britain 22k gold coin sovereign edward vii great luster, 1912 england gold coin 12 sovereign george v london au unc, 2000 great britain 1 sovereign gold pcgs graded ms 67 millennium 1st strike, 1912 great britain 1 sovereign gold ngc graded ms 63 george v, 1895s australia sovereign ms62 pcgs strong luster and attractive, proof sovereign 2012 no coin box amp; coa only, proof sovereign no coin box amp; coa only, 1981 great britain gold sovereign coin elizabeth ii proof low mintage, great britain full sovereign young victoria 1857 charming, 1913 british gold sovereign king georgivs v d g britt omn rex, antique 1907 king george v 22ct gold full sovereign coin 797g, antique 1912 king george v 22ct gold full sovereign coin 797g, 1908 edward vii sovereign gold coin london mint luster superb, very rare mint error and rare year 1863 sydney sovereign gold coin, 460000 great britain victoria sovereign 1871 gold km752, 460001 australia victoria sovereign 1880 sydney gold km7, 1917 c gold british king george v sovereign ottowa mint rare british coin, 1890 queen victoria half 12 gold sovereign coin great britain , australia 1907s gold sovereign ngc ms63 sydney mint, 1979 great britain united kingdom proof sovereign



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