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:

1927 SOUTH AFRICA GOLD COIN SOVEREIGN AU UNC
1927 SOUTH AFRICA GOLD COIN SOVEREIGN AU UNC
$549.00
BRITISH FULL SOVEREIGN VICTORIA JUBILEE 1891 22 CARAT GOLD SYDNEY HIGH GRADE N R
BRITISH FULL SOVEREIGN VICTORIA JUBILEE 1891 22 CARAT GOLD SYDNEY HIGH GRADE N R
$355.85
1861 NGC VG10 Great Britain Gold 1 2Sov Half Sovereign 14682
1861 NGC VG10 Great Britain Gold 1 2Sov Half Sovereign 14682
$258.99
1911 NGC MS63 Great Britain Gold 1Sov Sovereign King George 14674
1911 NGC MS63 Great Britain Gold 1Sov Sovereign King George 14674
$525.99
1883 S NGC AU53 Australia Gold Sovereign St George 14752
1883 S NGC AU53 Australia Gold Sovereign St George 14752
$449.99
1885 M Australia Gold Sovereign 2354 AGW Melbourne Mint Victoria Head 11029
1885 M Australia Gold Sovereign 2354 AGW Melbourne Mint Victoria Head 11029
$399.99
BRITISH FULL SOVEREIGN VICTORIA VEILED 1898 22 CARAT GOLD LONDON HIGH GRADE N R
BRITISH FULL SOVEREIGN VICTORIA VEILED 1898 22 CARAT GOLD LONDON HIGH GRADE N R
$335.00
1911 C CANADA KING GEORGE V GOLD SOVEREIGN CHOICE BU OTTOWA MINT
1911 C CANADA KING GEORGE V GOLD SOVEREIGN CHOICE BU OTTOWA MINT
$582.99
AUSTRALIA 1878 S VICTORIA FULL SOVEREIGN SHIELDS  VERY RARE
AUSTRALIA 1878 S VICTORIA FULL SOVEREIGN SHIELDS VERY RARE
$649.99
BRITISH FULL SOVEREIGN VICTORIA VEILED 1900 22 CARAT GOLD LONDON HIGH GRADE N R
BRITISH FULL SOVEREIGN VICTORIA VEILED 1900 22 CARAT GOLD LONDON HIGH GRADE N R
$335.00
1909 Rare EDWARD VII GOLD SOVEREIGN COIN HIGH GRADE GREAT RARE BEAUTY
1909 Rare EDWARD VII GOLD SOVEREIGN COIN HIGH GRADE GREAT RARE BEAUTY
$399.99
BRITISH FULL SOVEREIGN EDWARD VII 1905 22 CARAT GOLD LONDON MINT HIGH GRADE N R
BRITISH FULL SOVEREIGN EDWARD VII 1905 22 CARAT GOLD LONDON MINT HIGH GRADE N R
$364.00
BRITISH FULL SOVEREIGN ELISABETH II YOUNG 1962 22 CARAT GOLD BRILLIANT UNC N R
BRITISH FULL SOVEREIGN ELISABETH II YOUNG 1962 22 CARAT GOLD BRILLIANT UNC N R
$356.00
2011 ROYAL WEDDING OF WILLIAM  KATE GOLD PROOF DOUBLE SOVEREIGN BOX AND CERT
2011 ROYAL WEDDING OF WILLIAM KATE GOLD PROOF DOUBLE SOVEREIGN BOX AND CERT
$2,099.95
Great Britain Gold PCGS 1823  2 POUND MS 62 2 SOVEREIGN
Great Britain Gold PCGS 1823 2 POUND MS 62 2 SOVEREIGN
$5,450.00
Great Britain Gold 1887 2 POUND NGC MS 64  2 SOVEREIGN
Great Britain Gold 1887 2 POUND NGC MS 64 2 SOVEREIGN
$2,445.00
BRITISH FULL SOVEREIGN ELISABETH II YOUNG 1962 22 CARAT GOLD BRILLIANT UNC N R
BRITISH FULL SOVEREIGN ELISABETH II YOUNG 1962 22 CARAT GOLD BRILLIANT UNC N R
$320.00
1916 KING GEORGE V FULL GOLD SOVEREIGN  LUSTRE
1916 KING GEORGE V FULL GOLD SOVEREIGN LUSTRE
$535.00
1917 KING GEORGE V FULL GOLD SOVEREIGN  LUSTRE
1917 KING GEORGE V FULL GOLD SOVEREIGN LUSTRE
$535.00
CA UK QUEEN VICTORIA HALF SOVEREIGN GOLD 1896
CA UK QUEEN VICTORIA HALF SOVEREIGN GOLD 1896
$335.00
1900 Sydney Mint Britain Gold FULL Sovereign Coin Queen Victoria  Must See
1900 Sydney Mint Britain Gold FULL Sovereign Coin Queen Victoria Must See
$345.00
GREAT BRITAIN UK HALF SOVEREIGN 2005 GOLD PROOF
GREAT BRITAIN UK HALF SOVEREIGN 2005 GOLD PROOF
$500.00
1958 BRITAIN Q E II GOLD COIN SOVEREIGN  NGC CERT GENUINE MS 63 SPARKLING
1958 BRITAIN Q E II GOLD COIN SOVEREIGN NGC CERT GENUINE MS 63 SPARKLING
$416.46
King Edward VII Great Britain 1910 Gold Sovereign Coin
King Edward VII Great Britain 1910 Gold Sovereign Coin
$700.00
1887 S Australia 1 Gold Sovereign Young Head  St George NGC XF Details AKR
1887 S Australia 1 Gold Sovereign Young Head St George NGC XF Details AKR
$495.00
1887 M Australia 1 Gold Sovereign Coin Jubilee Head NGC MS 62 AKR
1887 M Australia 1 Gold Sovereign Coin Jubilee Head NGC MS 62 AKR
$995.00
1857 BRITISH HALF SOVEREIGN GOLD
1857 BRITISH HALF SOVEREIGN GOLD
$275.00
US UK KING GEORGE V GOLD FULL SOVEREIGN 1912 S
US UK KING GEORGE V GOLD FULL SOVEREIGN 1912 S
$500.00
GOLD 1859 HALF SOVEREIGN 1859 QUEEN VICTORIA HEAD SHIELD ON BACK
GOLD 1859 HALF SOVEREIGN 1859 QUEEN VICTORIA HEAD SHIELD ON BACK
$329.00
1853 Great Britain UK 1 Sovereign Sov Gold Coin WW initials
1853 Great Britain UK 1 Sovereign Sov Gold Coin WW initials
$321.00
1967 GOLD GREAT BRITAIN SOVEREIGN QUEEN ELIZABETH II COIN MINT STATE CONDITION
1967 GOLD GREAT BRITAIN SOVEREIGN QUEEN ELIZABETH II COIN MINT STATE CONDITION
$425.00
1883 GOLD GREAT BRITAIN 1 2 SOVEREIGN SHIELD REVERSE COIN NGC EXTREMELY FINE 45
1883 GOLD GREAT BRITAIN 1 2 SOVEREIGN SHIELD REVERSE COIN NGC EXTREMELY FINE 45
$475.00
1885 GOLD GREAT BRITAIN 1 2 SOVEREIGN SHIELD REVERSE COIN NGC EXTREMELY FINE 45
1885 GOLD GREAT BRITAIN 1 2 SOVEREIGN SHIELD REVERSE COIN NGC EXTREMELY FINE 45
$475.00
 VERY NICE HALF SOVEREIGN 1866 DIE 16 NICE AU CONDITION
VERY NICE HALF SOVEREIGN 1866 DIE 16 NICE AU CONDITION
$395.00
1854 Victoria Young Head Gold Sovereign NGC MS 61 WW Incused
1854 Victoria Young Head Gold Sovereign NGC MS 61 WW Incused
$1,500.00
1929 SA Gold Sovereign South Africa George V AU BU
1929 SA Gold Sovereign South Africa George V AU BU
$399.00
2006 Great Britain gold half sovereign
2006 Great Britain gold half sovereign
$175.00
Australia 1876 M 1 Sovereign Sov Gold Coin PCGS AU53 Melbourne Victoria Young
Australia 1876 M 1 Sovereign Sov Gold Coin PCGS AU53 Melbourne Victoria Young
$519.99
1900 M GREAT BRITAIN QUEEN VICTORIA VEILED HEAD GOLD SOVEREIGN LUSTROUS DETAIL
1900 M GREAT BRITAIN QUEEN VICTORIA VEILED HEAD GOLD SOVEREIGN LUSTROUS DETAIL
$379.99
1912 Great Britain Gold 1 Sovereign MS 63 NGC
1912 Great Britain Gold 1 Sovereign MS 63 NGC
$306.00



List Of Recently Purchased Sovereign Gold:


1927 south africa gold coin sovereign au unc , british full sovereign victoria jubilee 1891 22 carat gold sydney high grade nr, 1861 ngc vg10 great britain gold 12sov half sovereign 14682, 1911 ngc ms63 great britain gold 1sov sovereign king george 14674, 1883 s ngc au53 australia gold sovereign st george 14752, 1885m australia gold sovereign 2354 agw melbourne mint victoria head 11029, british full sovereign victoria veiled 1898 22 carat gold london high grade nr, 1911c canada king george v gold sovereign choice bu ottowa mint, australia 1878 s victoria full sovereign shields very rare , british full sovereign victoria veiled 1900 22 carat gold london high grade nr , 1909 rare edward vii gold sovereign coin high grade great rare beauty, british full sovereign edward vii 1905 22 carat gold london mint high grade nr, british full sovereign elisabeth ii young 1962 22 carat gold brilliant unc nr, 2011 royal wedding of william amp; kate gold proof double sovereign box and cert, great britain gold pcgs 1823 2 pound ms 62 2 sovereign , great britain gold 1887 2 pound ngc ms 64 2 sovereign , 1916 king george v full gold sovereign lustre, 1917 king george v full gold sovereign lustre, ca uk queen victoria half sovereign gold 1896, 1900 sydney mint britain gold full sovereign coin queen victoria must see, great britain uk half sovereign 2005 gold proof, 1958 britain q e ii gold coin sovereign ngc cert genuine ms 63 sparkling, king edward vii great britain 1910 gold sovereign coin, 1887s australia 1 gold sovereign young head amp; st george ngc xf details akr, 1887m australia 1 gold sovereign coin jubilee head ngc ms62 akr, 1857 british half sovereign gold, us uk king george v gold full sovereign 1912 s, gold 1859 half sovereign 1859 queen victoria head shield on back , 1853 great britain uk 1 sovereign sov gold coin ww initials, 1967 gold great britain sovereign queen elizabeth ii coin mint state condition, 1883 gold great britain 12 sovereign shield reverse coin ngc extremely fine 45, 1885 gold great britain 12 sovereign shield reverse coin ngc extremely fine 45, very nice half sovereign 1866 die 16 nice au condition , 1854 victoria young head gold sovereign ngc ms 61 ww incused, 1929sa gold sovereign south africa george v aubu, 2006 great britain gold half sovereign, australia 1876 m 1 sovereign sov gold coin pcgs au53 melbourne victoria young, 1900m great britain queen victoria veiled head gold sovereignlustrousdetail, 1912 great britain gold 1 sovereign ms 63 ngc, australia 1917 perth gold sovereign prograded iccs au55 z663, five 5 british gold sovereigns 1177 oz of gold free shipping, ten 10 british gold sovereigns 2354 oz of gold free shipping, twenty five 25 british gold sovereigns 5885 oz of gold free shipping, fifty 50 british gold sovereigns 1177 oz of gold free shipping, one hundred 100 british gold sovereigns 2353 oz of gold free shipping, 2013 royal mint royal birth sovereign gold coin only 2013 minted and sold out, 1868 sydney mint australia gold sovereign, 1867 sydney mint australia gold sovereign, 1898m unc australia sovereign gold coin ngc ms 62 2355 oz 0917 gold content, pcgs pr 69 1983 gold great britain 12 sovereign dcam 206848c0021, 1999 australia perth mint centenary $100 gold proof full sovereign bimetal, england gold coin sovereign xfau 1911, 1910 king edward viigreat britain full gold sovereign , 1912 king george vgreat britain full gold sovereign , 1905 king edward viigreat britain full gold sovereign lustre, 2009 royal mint first year of issue gold proof quarter sovereign coin boxed coa, british queen elizabeth sovereign 2010 gold plated 1 oz fine coin br1 , 1927 georgivs v dgbrittomnrex fdindimp gold sovereign coin pretoria sa, great britain gold pcgs 1893 5 pound proof 63 cameo 5 sovereign rrr, 2012 diamond jubilee royal mint gold proof first strike quarter sovereign coin, early henry 7th coin card gold sovereign very fine condition, uk 1860 victoria young head gold sovereign anacs au53, uk 1860 victoria young head gold sovereign ngc ms61 large 0 in date 1300 pounds, 2012 great britain uk gold 14 sovereign pcgs pr69 dcam first strike coin, 1911 great britainuk aubu gold half sovereign 01177 agw km819 george v nr, great britain 1908 12 sovereign gold edward vii au, great britain gold coin 12 sovereign 2002 proof low mintage rare, 1874s australia gold sovereign ngc vf35 st george victoria, 1991 united kingdom gold proof sovereign four coin set box and coa, 1918 i india gold sovereign certified ngc ms64, 1882m gold australia melbourne sovereign au, 2012 fiji 1 oz gold pacific sovereign $100 coin assay card sku 75653, great britain half sovereign 1891 gold 392gr high grade coin, rare overdate 186161 gold sovereign great britain spink;3852d, 1984 united kingdom gold 22ct 5 sovereign brilliant unc sealed at royal mint, 1983 22k gold coin united kingdom proof sovereign royal mint rare 80 gr, 1902 matte proof british sovereign anacs pf 60 details , 1914 great britain gold sovereign george v coin bu, 1817 great britain 1 sovereign british gold coin ngc ms63 choice akr, 1898 half 12 british sovereign anacs au 55, 2013 x 20 full sheet qe2 full gold sovereigns bunc new, 1925 perth george v sovereign rare, 1984 united kingdom half proof sovereign 22k gold coin in box w coa, great britain half sovereign gold proof 2007 st georges amp; dragon, great britain 1 sovereign gold proof 2007 st georges amp; dragon , 1822 great britain 1 sovereign gold coin ngc xf details surface hairlines akr, 1873 great britain gold sovereign st george reverse, 1825 great britain 1 sovereign gold coin bare bust ngc au53 akr, 1833 great britain 1 sovereign gold coin ngc au55 akr, 1820 king george iii full sovereign, 1870sovereignaustraliagold, 1864 queen victoria shield reverse full sovereign die no 33, 1927 gold south africa sovereign ms65 ngc , 1914 grbritain george v gold coin sovereign ngc cert genuine ms 62 luxurious, 1981 proof english gold full sovereign with coa and original case, 1890 rare queen victoria jubilee head gold sovereign a high grade gem, 1925s australia gold 1 sovereign ms 64 ngc



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