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 1863 SYDNEY MINT GOLD SOVEREIGN 799gr 02354oz AVF VF GRADE LK
AUSTRALIA 1863 SYDNEY MINT GOLD SOVEREIGN 799gr 02354oz AVF VF GRADE LK
$400.00
AUSTRALIA 1868 SYDNEY MINT GOLD SOVEREIGN 799gr 02354oz AVF VF GRADE LK
AUSTRALIA 1868 SYDNEY MINT GOLD SOVEREIGN 799gr 02354oz AVF VF GRADE LK
$365.00
AUSTRALIA 1866 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
AUSTRALIA 1866 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
$370.00
AUSTRALIA 1867 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
AUSTRALIA 1867 GOLD SYDNEY MINT SOVEREIGN 799gr 02354oz VF GVF GRADE LK
$370.00
AUSTRALIA 1870 SYDNEY MINT GOLD SOVEREIGN AEF GRADE 798gr 02354oz LK
AUSTRALIA 1870 SYDNEY MINT GOLD SOVEREIGN AEF GRADE 798gr 02354oz LK
$390.00
GB 1847 GOLD SOVEREIGN VICTORIA YOUNG HEAD SHIELD REVERSE NGC GRADED AU 58 LK
GB 1847 GOLD SOVEREIGN VICTORIA YOUNG HEAD SHIELD REVERSE NGC GRADED AU 58 LK
$700.00
ENGLAND GOLD COIN SOVEREIGN 1902 UNC SUPERB
ENGLAND GOLD COIN SOVEREIGN 1902 UNC SUPERB
$599.00
1887 Half Sovereign Queen Victoria Gold Coin excellent condition KM766
1887 Half Sovereign Queen Victoria Gold Coin excellent condition KM766
$200.00
BU 1925 British Gold Sovereign 02354 Ounce of Gold Great Britain
BU 1925 British Gold Sovereign 02354 Ounce of Gold Great Britain
$424.00
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
1929 SOUTH AFRICA GOLD SOVEREIGN MS63 NGC
1929 SOUTH AFRICA GOLD SOVEREIGN MS63 NGC
$525.00
Great Bratain 2003 Half Sovereign PCGS PROOF 69 DCAM
Great Bratain 2003 Half Sovereign PCGS PROOF 69 DCAM
$238.00
1892 Gold Sovereign and 1 2 Half Gold Sovereign Great Britain EF
1892 Gold Sovereign and 1 2 Half Gold Sovereign Great Britain EF
$440.00
1912 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON AU UNC
1912 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V LONDON AU UNC
$319.00
RARE 1979 FULL SOVEREIGN ELIZABETH II GOLD COIN UK St GEORGE DRAGON KG479
RARE 1979 FULL SOVEREIGN ELIZABETH II GOLD COIN UK St GEORGE DRAGON KG479
$699.00
1908 M Melbourne Mint 1 2 Sovereign Ed VII XF Coin C12
1908 M Melbourne Mint 1 2 Sovereign Ed VII XF Coin C12
$175.00
Royal Mint 1999 2000 Gold 5 Pounds Millennium Sovereign Proof Anno Domini 5
Royal Mint 1999 2000 Gold 5 Pounds Millennium Sovereign Proof Anno Domini 5
$2,699.95
1912 GEORGE V FULL SOVEREIGN LUSTRE
1912 GEORGE V FULL SOVEREIGN LUSTRE
$535.00
1910 KING EDWARD VII FULL GOLD SOVEREIGN  LUSTRE
1910 KING EDWARD VII FULL GOLD SOVEREIGN LUSTRE
$535.00
2014 Great Britain 7322g AGW Gold Sovereign St George  Dragon SKU30891
2014 Great Britain 7322g AGW Gold Sovereign St George Dragon SKU30891
$338.04
GREAT BRITAIN GOLD COIN SOVEREIGN 1966 UNC
GREAT BRITAIN GOLD COIN SOVEREIGN 1966 UNC
$549.00
CA UK QUEEN VICTORIA GOLD FULL SOVEREIGN 1894 M
CA UK QUEEN VICTORIA GOLD FULL SOVEREIGN 1894 M
$500.00
Uncirculated Cayman Island 6 Sovereign Queens Gold 100 and Silver 50 set
Uncirculated Cayman Island 6 Sovereign Queens Gold 100 and Silver 50 set
$625.00
2013 INDIA GOLD SOVEREIGN 1 4oz UK GREAT BRITAIN ROYAL MINT NGC MS70 1ST YEAR
2013 INDIA GOLD SOVEREIGN 1 4oz UK GREAT BRITAIN ROYAL MINT NGC MS70 1ST YEAR
$2,195.00
1983 UK Gold Proof Half Sovereign w Presentation Comes with Case
1983 UK Gold Proof Half Sovereign w Presentation Comes with Case
$400.00
1910 British Edward VII Gold Sovereign
1910 British Edward VII Gold Sovereign
$359.99
1854 Victoria Young Head Sovereign NGC MS 61
1854 Victoria Young Head Sovereign NGC MS 61
$1,500.00
2013 India GOLD Sovereign NGC MS 69
2013 India GOLD Sovereign NGC MS 69
$255.00
216 INDALO Great Britain Victoria Queen Nice Gold 1 2 Sovereign 1871
216 INDALO Great Britain Victoria Queen Nice Gold 1 2 Sovereign 1871
$152.50
1912 GREAT BRITAIN SOVEREIGN GOLD COIN
1912 GREAT BRITAIN SOVEREIGN GOLD COIN
$321.00
Great Britain 1821 George IIII Gold Sovereign NGC MS 63
Great Britain 1821 George IIII Gold Sovereign NGC MS 63
$5,499.99
2013 P GOLD SOVEREIGN PCGS PR70DCAM WITH ORIGINAL JARRA HOLDER BOX
2013 P GOLD SOVEREIGN PCGS PR70DCAM WITH ORIGINAL JARRA HOLDER BOX
$495.00
Cook Island 2008 solid 9999 Gold Coin Sovereign in Capsule PP
Cook Island 2008 solid 9999 Gold Coin Sovereign in Capsule PP
$84.95
1912 gold sovereign Great Britain  NGC graded AU 55 lot 242
1912 gold sovereign Great Britain NGC graded AU 55 lot 242
$375.00
1912 gold sovereign Great Britain  NGC graded AU 58 lot 241
1912 gold sovereign Great Britain NGC graded AU 58 lot 241
$395.00
1911C gold sovereign Canada  NGC graded MS 63 lot 239
1911C gold sovereign Canada NGC graded MS 63 lot 239
$490.00
BRITISH SOVEREIGN1907EDWARDVS VIIGOLDDGBRITTOMNREX FDINDIMP
BRITISH SOVEREIGN1907EDWARDVS VIIGOLDDGBRITTOMNREX FDINDIMP
$599.99
1903 AUSTRALIA GOLD COIN SOVEREIGN EDWARD  MELBURN AU
1903 AUSTRALIA GOLD COIN SOVEREIGN EDWARD MELBURN AU
$549.00
1912 KING GEORGE VGREAT BRITAIN FULL GOLD SOVEREIGN
1912 KING GEORGE VGREAT BRITAIN FULL GOLD SOVEREIGN
$469.00
1968 Queen Elizabeth II Great Britain Gold Sovereign  Free Shipping
1968 Queen Elizabeth II Great Britain Gold Sovereign Free Shipping
$300.00



List Of Recently Purchased Sovereign Gold:


australia 1863 sydney mint gold sovereign799gr02354ozavfvf gradelk, australia 1868 sydney mint gold sovereign799gr02354ozavfvf gradelk, australia 1866 gold sydney mint sovereign799gr 02354oz vfgvf gradelk, australia 1867 gold sydney mint sovereign799gr 02354oz vfgvf gradelk, australia 1870 sydney mint gold sovereignaef grade 798gr02354ozlk, gb 1847 gold sovereignvictoria young head shield reversengc graded au 58lk, england gold coin sovereign 1902 unc superb, 1887 half sovereign queen victoria gold coin excellent condition km766, bu 1925 british gold sovereign 02354 ounce of gold great britain, 1899p australia queen victoria gold sovereign au key date perth mint km13, 1929 south africa gold sovereign ms63 ngc , great bratain 2003 half sovereign pcgs proof 69 dcam, 1892 gold sovereign and 12 half gold sovereign great britain ef, 1912 england gold coin 12 sovereign george v london au unc, rare 1979 full sovereign elizabeth ii gold coin uk st george dragon kg479, 1908m melbourne mint 12 sovereign ed vii xf coin c12, royal mint 1999 2000 gold 5 pounds millennium sovereign proof anno domini 5, 1912 george v full sovereign lustre, 1910 king edward vii full gold sovereign lustre, 2014 great britain 7322g agw gold sovereign st george amp; dragon sku30891, great britain gold coin sovereign 1966 unc, ca uk queen victoria gold full sovereign 1894 m, uncirculated cayman island 6 sovereign queens gold 100 and silver 50 set, 2013 india gold sovereign 14oz uk great britain royal mint ngc ms70 1styear, 1983 uk gold proof half sovereign w presentation comes with case , 1910 british edward vii gold sovereign, 1854 victoria young head sovereign ngc ms 61, 2013 india gold sovereign ngc ms 69, 216indalo great britain victoria queen nice gold 12 sovereign 1871 , 1912 great britain sovereign gold coin, great britain 1821 george iiii gold sovereign ngc ms63, 2013p gold sovereignpcgs pr70dcamwith original jarra holder box , cook island 2008 solid 9999 gold coin sovereign in capsule pp, 1912 gold sovereign great britain ngc graded au 55 lot 242, 1912 gold sovereign great britain ngc graded au 58 lot 241, 1911c gold sovereign canada ngc graded ms 63 lot 239, british sovereign1907edwardvs viigolddgbrittomnrex fdindimp, 1903 australia gold coin sovereign edward melburn au, 1912 king george vgreat britain full gold sovereign , 1968 queen elizabeth ii great britain gold sovereign free shipping, 1910 king edward viigreat britain full gold sovereign , 1912 king george vgreat britain full gold sovereign lustre, 1905 king edward viigreat britain full gold sovereign lustre, 1911 c canada g v gold coin sovereign ngc cert genuine ms 62 rare blazing luster, australia gold sovereigns 1875m pcgs au55 luster ex argo collectionkm7, australia gold sovereigns 1874m pcgs au53 luster ex argo collectionkm7, great britain 1860 victoria shield gold sovereign 1860 large o pcgs ms63, 1927sa south africa gold british sovereign ngc ms63 coin 1sov 1927sa 2354 agw, belgium coins belgium brabant philippe iv of spain double sovereign, belgium coins belgium brabant philippe iv of spain sovereign, great britain 1847 gold sovereign 2355 agw f , 1911 gold great britain sovereign salvaged from the 1922 wreck rms egypt , ngc pf70 ucam 2005 australia 150th anniversary gold sovereign one of 1st 1000, 1887m gold australia sovereign jubilee head ms61 ngc, great britain gold sovereign 1979 799 gr 02354 oz 0917 gold au, 1918i uncirculated indiabritish gold sovereign ngc ms63 great coin, sovereign 1864 shield back gold coin queen victoria, 1861 australia gold victoria half sovereign 12s anacs au50 detail rare, 1914 british sovereign gold coin in 14k gold pendant bezel 49g ships free, 2009 great britain gold 14 sovereign ngc pf69 ultra cameo free shipping, 1918 p australia g v gold coin sovereign ngc cert genuine ms 61 beautifully bold, 1918 india gold sovereign high grade 1, 1918 india gold sovereign high grade 2, 1911 c canada g v gold coin sovereign ngc cert genuine ms 62 royal luster, 1866 gold great britain victoria young head shield reverse sovereign die 38, 1871 gold great britain victoria young head shield reverse sovereign die 15, 1872 gold great britain victoria young head shield reverse sovereign die 68, 1894m melbourne australia gold sovereign vieled head victoria gb ngc xf45 ef45, 1958 britain q e ii gold coin sovereign ngc cert genuine ms 63 magnificent, 1871 great britain queen victoria old early head gold sovereignlustrousdetail, 1927 sa sovereign south africa king george v british gold coin pcgs ms63, 1911 british gold sovereign coin in 10k ring setting english 136 g total wow, 218indalo great britain edward vii very nice gold 12 sovereign 1910 , 219indalo great britain george v lovely gold 12 sovereign 1911 , 1867sy australia gold sovereign pcgs ms61 secure plus, 1904 edward vii full gold sovereign coin , 1982 great britain gold sovereign gem bu, great britain 1825 george iv gold half sovereign ngc ms 62 unc 62 proof like pf, 1835 uk half sovereign gold coin william iiii, 1869 great britain gold half 12 shield sovereign young head queen victoria , 1884 great britain 12 sovereign gold coin ngc ms63, australia 1879m gold sovereign pcgs au55, 1926 gold george v sovereign coin south africa bullion, 1918s australia gold george v sovereign gold coin, south africa 1931 pretoria mint full gold sovereign aunc , 2013 gold sovereign struck in india box only for sale, 1925 great britain gold coin full sovereign george v london unc superb, 1890 great britain gold sovereign ef45jubilee head, 1853 gold sovereign coin lovely rare coin in good grade ww raised, 1867 sy australia sovereign pcgs au50, 1867 australia gold sovereign coin sydney mint pcgs ms61 uncirculated grade, 2011 great britain 3 gold sovereign set pcgs pr69dcam first strikes 1 12 14 uk, australia 12 sovereign 1902 s gold au only 84000 minted scarce date , 2012 uk gold proof sovereign fourcoin collection first strike pcgs pr69dcam, 1863 sy australia sovereign pcgs au53, 1865 sy australia sovereign pcgs au53, rare elusive 1860 australia gold sovereign sydney mint very fine ngc vf30



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