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:

CA UK QUEEN VICTORIA GOLD FULL SOVEREIGN 1894 M
CA UK QUEEN VICTORIA GOLD FULL SOVEREIGN 1894 M
$360.00
US UK KING GEORGE V GOLD FULL SOVEREIGN 1912 S
US UK KING GEORGE V GOLD FULL SOVEREIGN 1912 S
$360.00
1912 KING GEORGE VGREAT BRITAIN FULL GOLD SOVEREIGN  LUSTRE
1912 KING GEORGE VGREAT BRITAIN FULL GOLD SOVEREIGN LUSTRE
$304.00
1912 M Australia Gold Sovereign Melbourne Mint NGC MS64
1912 M Australia Gold Sovereign Melbourne Mint NGC MS64
$445.00
1913 M Australia Gold Sovereign Melbourne Mint NGC MS63
1913 M Australia Gold Sovereign Melbourne Mint NGC MS63
$445.00
1925 Great Britain Gold Sovereign NGC  WINGS MS64
1925 Great Britain Gold Sovereign NGC WINGS MS64
$489.00
1925 Great Britain Gold Sovereign NGC  WINGS MS65
1925 Great Britain Gold Sovereign NGC WINGS MS65
$499.00
1917 S Australia Gold Sovereign NGC MS64 POP 7 29 Scarce Coin
1917 S Australia Gold Sovereign NGC MS64 POP 7 29 Scarce Coin
$459.00
1925 Great Britain Gold Sovereign NGC  WINGS MS64
1925 Great Britain Gold Sovereign NGC WINGS MS64
$489.00
King Edward VII Great Britain 1910 Gold Sovereign Coin
King Edward VII Great Britain 1910 Gold Sovereign Coin
$700.00
1899 P Perth Full Gold Sovereign Ungraded Scarce 1st Year + Gold Mount
1899 P Perth Full Gold Sovereign Ungraded Scarce 1st Year + Gold Mount
$599.00
1952 South Africa 22ct Gold Proof Half Pound Half Sovereign As issued 400gms
1952 South Africa 22ct Gold Proof Half Pound Half Sovereign As issued 400gms
$162.75
1952 South Africa 22ct Gold Proof Pound Sovereign As Issued Condition 800gms
1952 South Africa 22ct Gold Proof Pound Sovereign As Issued Condition 800gms
$349.83
1979 Proof Gold Great Britain Sovereign Coin UK KM 919 England
1979 Proof Gold Great Britain Sovereign Coin UK KM 919 England
$599.50
GREAT BRITAIN GOLD SOVEREIGN 1958 QUEEN ELIZABETH II YOUNG
GREAT BRITAIN GOLD SOVEREIGN 1958 QUEEN ELIZABETH II YOUNG
$420.00
1914 Great Britian ICG MS65 1 2 Sovereign KM819 With No Reserve
1914 Great Britian ICG MS65 1 2 Sovereign KM819 With No Reserve
$153.26
1889 Victoria Gold Sovereign
1889 Victoria Gold Sovereign
$275.00
England Sovereign 1988 ELIZABETH Gem Proof gold coin w box + certificate
England Sovereign 1988 ELIZABETH Gem Proof gold coin w box + certificate
$449.00
1965 Great Britain Gold Sovereign NGC MS 65 Elizabeth II
1965 Great Britain Gold Sovereign NGC MS 65 Elizabeth II
$795.00
1910 KING EDWARD VIIGREAT BRITAIN FULL GOLD SOVEREIGN
1910 KING EDWARD VIIGREAT BRITAIN FULL GOLD SOVEREIGN
$305.00
1982 GREAT BRITAIN 1 2 SOVEREIGN GOLD COIN PROOF IN MINT PACKAGING
1982 GREAT BRITAIN 1 2 SOVEREIGN GOLD COIN PROOF IN MINT PACKAGING
$169.00
1925 GREAT BRITAIN SOVEREIGN MS64 NGC
1925 GREAT BRITAIN SOVEREIGN MS64 NGC
$545.00
1910 EDWARDVS VII D G BRITT OMN REX F D IND IMPGold 1 2 Sovereign Coin
1910 EDWARDVS VII D G BRITT OMN REX F D IND IMPGold 1 2 Sovereign Coin
$214.99
George V 1931 SA Gold Full Sovereign Gold Coin South Africa You Grade it
George V 1931 SA Gold Full Sovereign Gold Coin South Africa You Grade it
$388.00
2000 Great Britain Gold Sovereign MS67 PCGS Millennium First Strike UK KM 1002
2000 Great Britain Gold Sovereign MS67 PCGS Millennium First Strike UK KM 1002
$495.00
Gem BU 1903 M Australia Gold Sovereign 22k Gold NO RESERVE g61
Gem BU 1903 M Australia Gold Sovereign 22k Gold NO RESERVE g61
$349.00
1918 I 1 GOLD SOVEREIGN INDIA  BOMBAY MINT high grade
1918 I 1 GOLD SOVEREIGN INDIA BOMBAY MINT high grade
$400.00
1918 I 1 GOLD SOVEREIGN INDIA  BOMBAY MINT  high grade
1918 I 1 GOLD SOVEREIGN INDIA BOMBAY MINT high grade
$400.00
1863 1 GOLD SOVEREIGN VICTORIA SHIELD GREAT BRITAIN
1863 1 GOLD SOVEREIGN VICTORIA SHIELD GREAT BRITAIN
$400.00
1863 1 GOLD SOVEREIGN VICTORIA SHIELD GREAT BRITAIN
1863 1 GOLD SOVEREIGN VICTORIA SHIELD GREAT BRITAIN
$400.00
1863 1 GOLD SOVEREIGN VICTORIA SHIELD GREAT BRITAIN
1863 1 GOLD SOVEREIGN VICTORIA SHIELD GREAT BRITAIN
$444.00
1880 1 GOLD SOVEREIGN VICTORIA YOUNG GREAT BRITAIN ERROR MISSING SERIF ON 1I
1880 1 GOLD SOVEREIGN VICTORIA YOUNG GREAT BRITAIN ERROR MISSING SERIF ON 1I
$400.00
1876 1 GOLD SOVEREIGN VICTORIA YOUNG MELBOURNE ERROR ON M
1876 1 GOLD SOVEREIGN VICTORIA YOUNG MELBOURNE ERROR ON M
$400.00
1878S 1 GOLD SOVEREIGN 798GR SIDNEY MINT VICTORIA SHIELD HIGH GRADE
1878S 1 GOLD SOVEREIGN 798GR SIDNEY MINT VICTORIA SHIELD HIGH GRADE
$599.00
1852 GOLD GREAT BRITAIN YOUNG HEAD SHIELD HALF SOVEREIGN COIN
1852 GOLD GREAT BRITAIN YOUNG HEAD SHIELD HALF SOVEREIGN COIN
$275.00
2004 GOLD GREAT BRITAIN SOVEREIGN COIN NGC PROOF 70 ULTRA CAMEO
2004 GOLD GREAT BRITAIN SOVEREIGN COIN NGC PROOF 70 ULTRA CAMEO
$495.00
UNITED KINGDOM ROYAL MINT 1984 PROOF SOVEREIGN 22K GOLD
UNITED KINGDOM ROYAL MINT 1984 PROOF SOVEREIGN 22K GOLD
$296.99
1915 S Australia Gold Sovereign Coin PCGS MS 64
1915 S Australia Gold Sovereign Coin PCGS MS 64
$695.00
Great Britain UK 1829 1 Sovereign Gold Coin NGC XF40 George IV KM 696 S 3901
Great Britain UK 1829 1 Sovereign Gold Coin NGC XF40 George IV KM 696 S 3901
$999.99
Gold Sovereign 1891 GB
Gold Sovereign 1891 GB
$379.95



List Of Recently Purchased Sovereign Gold:


ca uk queen victoria gold full sovereign 1894 m, us uk king george v gold full sovereign 1912 s, 1912 king george vgreat britain full gold sovereign lustre, 1912m australia gold sovereign melbourne mint ngc ms64, 1913m australia gold sovereign melbourne mint ngc ms63, 1925 great britain gold sovereign ngc amp; wings ms64, 1925 great britain gold sovereign ngc amp; wings ms65, 1917 s australia gold sovereign ngc ms64 pop 729 scarce coin, king edward vii great britain 1910 gold sovereign coin, 1899p perth full gold sovereign ungraded scarce 1st year gold mount, 1952 south africa 22ct gold proof half pound half sovereign as issued 400gms, 1952 south africa 22ct gold proof pound sovereign as issued condition 800gms, 1979 proof gold great britain sovereign coin uk km 919 england, great britaingold sovereign 1958queen elizabeth ii young, 1914 great britian icg ms65 12 sovereign km819 with no reserve, 1889 victoria gold sovereign, england sovereign 1988 elizabeth gem proof gold coin wbox certificate, 1965 great britain gold sovereign ngc ms 65 elizabeth ii, 1910 king edward viigreat britain full gold sovereign , 1982 great britain 12 sovereign gold coin proof in mint packaging, 1925 great britain sovereign ms64 ngc , 1910 edwardvs vii d g britt omn rex f d ind impgold 12 sovereign coin , george v 1931 sa gold full sovereign gold coin south africa you grade it, 2000 great britain gold sovereign ms67 pcgs millennium first strike uk km1002, gem bu 1903m australia gold sovereign 22k gold no reserve g61, 1918 i 1 gold sovereign india bombay mint high grade, 1918 i 1 gold sovereign india bombay mint high grade, 1863 1 gold sovereign victoria shield great britain , 1880 1 gold sovereign victoria young great britain error missing serif on 1i, 1876 1 gold sovereign victoria young melbourne error on m, 1878s 1 gold sovereign 798gr sidney mint victoria shield high grade, 1852 gold great britain young head shield half sovereign coin, 2004 gold great britain sovereign coin ngc proof 70 ultra cameo, united kingdom royal mint 1984 proof sovereign 22k gold, 1915s australia gold sovereign coin pcgs ms64, great britain uk 1829 1 sovereign gold coin ngc xf40 george iv km 696 s3901, goldsovereign1891gb , 1899 great britain gold sovereign km 785 free shipping 5554, 1899m australia gold sovereign km 13 free shipping 5556, 1915 great britain gold sovereign km 820 free shipping 5247, lot of 10 pre1933 xf au british gold king sovereigns world bullion coins, 1918m australia gold sovereign km 29 certified by ngc ms 61 5596, 1872 great britain uk 1 sovereign sov gold coin xf victoria young head 2355 agw, 1911 c canada g v gold coin sovereign ngc cert genuine ms 62 royal luster a, 1918 p australia g v gold coin sovereign ngc cert genuine ms 61 beautifully a, great britain gold double sovereign 2 pounds 2 1887 pcgs unc details, 1873 m victoria australian gold 12 sovereign, victorian 9kt gold bracelet wvictoria halfamp;1820 george iii full sovereign coins, australia 1876 m 1 sovereign sov gold coin pcgs au53 melbourne victoria young, 1905 p australia 1 full sovereign sov gold coin choice au perth mint edwardvs, 1899p australia queen victoria gold sovereign au key date perth mint km13, great britain sovereign 1976 pcgs ms64 certified english gold, great britain half sovereign gold coin; 1865 die 3 lustrous uncirculated, great britain 2008 gold 2 sovereign ngc pf69uc, great britan full sovereign 1957 gold low mintage aunc unc with lustrous, india british full sovereign king george v 1918 i gold very nce rare , india 1913 gold sovereign of king george, 1913 great britain gold sovereign of george v au or bu, 1989 united kingdom 3 coin gold proof tudor rose sovereign set box only, 1913 gold great britain 1 sovereign ngc grade ms 62, australia 1912s gold sovereign ngc ms63 sydney mint, australia 1908m gold sovereign ngc ms62 melbourne mint, australia 1908p gold sovereign ngc ms62 perth mint, australia 1907m gold sovereign ngc ms62 melbourne mint, australia 1907m gold sovereign ngc ms63 melbourne mint, australia 1904p gold sovereign ngc ms61 perth mint, australia 1904m gold sovereign ngc ms62 melbourne mint, australia 1907s gold sovereign ngc ms61 sydney mint, australia 1907s gold sovereign ngc ms63 sydney mint, 1982 royal mint uk 2354 oz gold sovereign proof wbox , 1900 british sovereign 22ct gold coin queen victoria london mint george dragon, 1910 edward vii half sovereign gold coin great britain london 399 grams, great britain 2009 gold 14 sovereign ngc ms 69 , 1928 gold south africa sovereign ms65 pcgs, 1862 great britain gold full sovereign douro treasure ngc au55 rare 1 of only 53, 1911 great britain gold sovereign ngc au 58 george v, 2000 uk gold half sovereignunc proof condition unboxed , 2012 great britain 4piece proof gold sovereign set pcgs gem pf 1st strikes, sealed 1991 gold proof sovereign 3 coin set great britain uk england, australia 1920p gold sovereign ngc ms61 perth mint, uk gold sovereign five coin collection, australia 1920p gold sovereign ngc ms62 perth mint, australia 1919p gold sovereign ngc ms62 perth mint, australia 1918p gold sovereign ngc ms63 perth mint, australia 1918p gold sovereign ngc ms62 perth mint, 1892 gold great britain queen victoria shield half sovereign ngc about unc 58, australia 1917m gold sovereign ngc ms61 melbourne mint, british gold 12 sovereign 1877, australia 1917p gold sovereign ngc ms62 perth mint, 1967 gold sovereign coin great britain agw 2354 troy oz gold qe2 , british 1863 gold sovereign, australia 1914s gold sovereign ngc ms61 sydney mint, victoria gold half sovereign 1853 , 1927 south africa gold sovereign ms63 ngc , 1890 great britain gold sovereign ms62 ngc , british 1844 gold sovereign



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