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:

1910 KING EDWARD VIIGREAT BRITAIN FULL GOLD SOVEREIGN
1910 KING EDWARD VIIGREAT BRITAIN FULL GOLD SOVEREIGN
$579.00
1912 KING GEORGE VGREAT BRITAIN FULL GOLD SOVEREIGN
1912 KING GEORGE VGREAT BRITAIN FULL GOLD SOVEREIGN
$469.00
1905 KING EDWARD VIIGREAT BRITAIN FULL GOLD SOVEREIGN  LUSTRE
1905 KING EDWARD VIIGREAT BRITAIN FULL GOLD SOVEREIGN LUSTRE
$579.00
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
Australia 1875 S Sydney Gold Sovereign Shield Very Nice Coin Free Ship
Australia 1875 S Sydney Gold Sovereign Shield Very Nice Coin Free Ship
$650.00
British Queen Elizabeth Sovereign 2010 Gold plated 1 OZ Fine Coin  Br 1
British Queen Elizabeth Sovereign 2010 Gold plated 1 OZ Fine Coin Br 1
$6.00
1989 UK 3 COIN GOLD PROOF TUDOR ROSE SOVEREIGN SET WITH BOX  COA
1989 UK 3 COIN GOLD PROOF TUDOR ROSE SOVEREIGN SET WITH BOX COA
$2,500.00
UK 1842 Sovereign Victoria
UK 1842 Sovereign Victoria
$680.00
1989 500th Anniversary Half Sovereign BOXED COA
1989 500th Anniversary Half Sovereign BOXED COA
$615.00
NEW 2010 QE2 PROOF GOLD HALF SOVEREIGN BOXED + COA
NEW 2010 QE2 PROOF GOLD HALF SOVEREIGN BOXED + COA
$365.00
2005 Australia 150th First Australian Sovereign NGC and WINGS PF70 Ultra Cameo
2005 Australia 150th First Australian Sovereign NGC and WINGS PF70 Ultra Cameo
$865.00
AUSTRALIA 1907M GOLD  SOVEREIGN EDWARD VII 399 GRAMMESAVF GRADE LK
AUSTRALIA 1907M GOLD SOVEREIGN EDWARD VII 399 GRAMMESAVF GRADE LK
$195.00
1894 M MELBOURNE AUSTRALIA GOLD SOVEREIGN VIELED HEAD VICTORIA NGC XF45 EF45
1894 M MELBOURNE AUSTRALIA GOLD SOVEREIGN VIELED HEAD VICTORIA NGC XF45 EF45
$499.00
1987 GREAT BRITAIN HALF 1 2 SOVEREIGN NGC PF69 PR69 GOLD
1987 GREAT BRITAIN HALF 1 2 SOVEREIGN NGC PF69 PR69 GOLD
$295.00
GREAT BRITAIN Sovereign 1985 PCGS PR69DCAM
GREAT BRITAIN Sovereign 1985 PCGS PR69DCAM
$650.00
AUSTRALIA 1864 SYDNEY MINT GOLD SOVEREIGN AVF GRADE 798gr 02354oz LK
AUSTRALIA 1864 SYDNEY MINT GOLD SOVEREIGN AVF GRADE 798gr 02354oz LK
$420.00
AUSTRALIA 1870 SYDNEY MINT GOLD SOVEREIGN VF GRADE 798gr 02354oz LK
AUSTRALIA 1870 SYDNEY MINT GOLD SOVEREIGN VF GRADE 798gr 02354oz LK
$410.00
US UK KING GEORGE V FULL GOLD SOVEREIGN 1923 P GOLDMNZE
US UK KING GEORGE V FULL GOLD SOVEREIGN 1923 P GOLDMNZE
$500.00
British Gold Sovereign Old Victoria
British Gold Sovereign Old Victoria
$360.00
1894M AUSTRALIA GOLD 1 SOVEREIGN NGC AU58 COIN LUSTER GREAT EARLY GOLD COIN
1894M AUSTRALIA GOLD 1 SOVEREIGN NGC AU58 COIN LUSTER GREAT EARLY GOLD COIN
$815.30
GB 1856 GOLD SOVEREIGN GVF AEF GRADE 799gr 02354oz LK
GB 1856 GOLD SOVEREIGN GVF AEF GRADE 799gr 02354oz LK
$420.00
2010 GOLD GREAT BRITAIN QUARTER SOVEREIGN NGC PROOF 70 ULTRA CAMEO
2010 GOLD GREAT BRITAIN QUARTER SOVEREIGN NGC PROOF 70 ULTRA CAMEO
$275.00
2008 GOLD GREAT BRITAIN SOVEREIGN NGC PROOF 70 ULTRA CAMEO
2008 GOLD GREAT BRITAIN SOVEREIGN NGC PROOF 70 ULTRA CAMEO
$600.00
UK 1846 Victoria Gold Sovereign
UK 1846 Victoria Gold Sovereign
$430.00
UK 1847 Victoria Gold Sovereign
UK 1847 Victoria Gold Sovereign
$430.00
Great Britain full gold Sovereign 1907 KM 805
Great Britain full gold Sovereign 1907 KM 805
$359.99
1911 S Gold Great Britain Sovereign George V
1911 S Gold Great Britain Sovereign George V
$379.00
1984 GOLD GREAT BRITAIN SOVEREIGN NGC PROOF 69 ULTRA CAMEO
1984 GOLD GREAT BRITAIN SOVEREIGN NGC PROOF 69 ULTRA CAMEO
$450.00
Great Britain Gold One Sovereign King George V 22k 1913
Great Britain Gold One Sovereign King George V 22k 1913
$485.00
RARE COIN 1875S Gold Australian Half Sovereign Victoria Young Head AU50 NGC
RARE COIN 1875S Gold Australian Half Sovereign Victoria Young Head AU50 NGC
$4,800.00
1836 British Sovereign Gold Coin William IV NGC XF45 LOW MINTAGE RARE
1836 British Sovereign Gold Coin William IV NGC XF45 LOW MINTAGE RARE
$2,349.00
1911 C CANADA G V GOLD COIN SOVEREIGN ANACS CERT GENUINE MS 62 BRILLIANT LUSTER
1911 C CANADA G V GOLD COIN SOVEREIGN ANACS CERT GENUINE MS 62 BRILLIANT LUSTER
$509.96
Great Britain Sovereign 1989 500th Anniversary of the Gold Sovereign
Great Britain Sovereign 1989 500th Anniversary of the Gold Sovereign
$2,050.00
1989 Gold Double Proof Sovereign 500 Anniversary
1989 Gold Double Proof Sovereign 500 Anniversary
$1,390.77
1917 Cgold full Sovereign
1917 Cgold full Sovereign
$599.95
1861 NGC VG10 Great Britain Gold 1 2Sov Half Sovereign
1861 NGC VG10 Great Britain Gold 1 2Sov Half Sovereign
$258.99
1911 NGC MS63 Great Britain Gold 1Sov Sovereign King George
1911 NGC MS63 Great Britain Gold 1Sov Sovereign King George
$525.99
Lot of 20 BRITISH GOLD SOVEREIGNS International 22kt bullion World coins England
Lot of 20 BRITISH GOLD SOVEREIGNS International 22kt bullion World coins England
$7,176.88
2000 ROYAL MINT MILLENNIUM ST GEORGE SOVEREIGN GOLD PROOF 4 COIN SET BOX COA
2000 ROYAL MINT MILLENNIUM ST GEORGE SOVEREIGN GOLD PROOF 4 COIN SET BOX COA
$5,399.95
Australia 1889S Gold Sovereign NGC MS 62
Australia 1889S Gold Sovereign NGC MS 62
$550.00



List Of Recently Purchased Sovereign Gold:


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, 1899p australia queen victoria gold sovereign au key date perth mint km13, australia 1875 s sydney gold sovereign shield very nice coin free ship, british queen elizabeth sovereign 2010 gold plated 1 oz fine coin br1 , 1989 uk 3 coin gold proof tudor rose sovereign set with box amp; coa, uk 1842 sovereign victoria, 1989 500th anniversary half sovereign boxed coa, new 2010 qe2 proof gold half sovereign boxed coa, 2005 australia 150th first australian sovereign ngc and wings pf70 ultra cameo, australia 1907m gold sovereignedward vii399 grammesavf gradelk, 1894m melbourne australia gold sovereign vieled head victoria ngc xf45 ef45, 1987 great britain half 12 sovereign ngc pf69 pr69 gold , great britain sovereign 1985 pcgs pr69dcam , australia 1864 sydney mint gold sovereignavf grade 798gr02354ozlk, australia 1870 sydney mint gold sovereignvf grade 798gr02354ozlk, us uk king george v full gold sovereign 1923 p goldmnze, british gold sovereign old victoria, 1894m australia gold 1 sovereign ngc au58 coin luster great early gold coin, gb 1856 gold sovereigngvfaef grade799gr 02354ozlk, 2010 gold great britain quarter sovereign ngc proof 70 ultra cameo, 2008 gold great britain sovereign ngc proof 70 ultra cameo, uk 1846 victoria gold sovereign, uk 1847 victoria gold sovereign, great britain full gold sovereign 1907 km 805, 1911s gold great britain sovereign george v , 1984 gold great britain sovereign ngc proof 69 ultra cameo, great britain gold one sovereign king george v 22k 1913, rare coin 1875s gold australian half sovereign victoria young head au50 ngc , 1836 british sovereign gold coin william iv ngc xf45 low mintage rare, 1911 c canada g v gold coin sovereign anacs cert genuine ms 62 brilliant luster, great britain sovereign 1989 500th anniversary of the gold sovereign, 1989gold double proof sovereign500 anniversary, 1917cgold full sovereign, 1861 ngc vg10 great britain gold 12sov half sovereign, 1911 ngc ms63 great britain gold 1sov sovereign king george, lot of 20 british gold sovereigns international 22kt bullion world coins england, 2000 royal mint millennium st george sovereign gold proof 4 coin set box coa, australia 1889s gold sovereign ngc ms 62, 1913m melbourne australia gold sovereign george 5 v pcgs ms63 , 2012 royal mint st george sovereign gold proof 5 coin set box coa, 2010 royal mint st george sovereign gold proof 5 coin set box coa, 2009 royal mint first year of issue sovereign gold proof 5 coin set box coa, 1909 edward vii british sovereign gold coin melbourne australia mint, australia 1899p victoria gold sovereign ngc ms61 rare mintdate, australia 1864 victoria gold sovereign ngc ms60, 1912 english gold sovereign coin , australia sovereign 2005 ngcpf70 ultra cameo gold first 1000 struck, 1915 sovereign british gold coin great britain georgivs, gold sovereign m1930 king george v of the british empire windsor family, england gold coin sovereign 1967 unc superb, 1982 queen elizabeth ii sovereign gold coin 22k, great britain gold 1903 sovereign king edward, gold full sovereign victria 188070 overdate no bp rare, 1879s autralia queen victoria gold sovereign au sydney mint shield type km6, 1911c canada king george v gold sovereign choice bu ottowa mint, uk 12 gold sovereign love token edna, 1930 south africa gold sovereign uncirculated king george v 2, 2010 gold proof 5 coin sovereign set 5 qtr, 1914 great britain gold half 12 sovereign king george v head ngc ms64, 1918i british india king george v gold 22ct sovereign brilliant unc, 1923 m australia 1 sovereign ms 65 ngc look, 1869 great britain 1 sovereign au 58 ngc look, 1918s australia 1 sovereign ms 62 ngc look, 1844 great britain 1 sovereign vf25 ngc look, 1866 australia 1 sovereign au 58 ngc look, 2010 royal mint uk great britain gold proof sovereign 3 coin collection new $$, 1915 great britain 12 sovereign ngc ms64, 1861 great britain 1 sovereign ngc au 50, 1925 england gold coin 12 sovereign george v south africa au, 1885 great britain gold 12 sovereign ngc xf45 victoria, 1914 great britain gold 12 sovereign ngc ms62, great britain half sovereign gold year 1925 3345 gr 0118 oz 0917 gold, full sovereign victria 1851 shield reverse high grade, full sovereign victria 1871 shield reverse die 99 scarce high grade, australia 1863s gold sovereign pcgs au55, great britain 1822 george iv gold sovereign ngc ms62 ex thos h law collection, australia 1868 sydney mint victoria gold sovereign, great britain gold half sovereign 1899 au50 anacs, full sovereign victria 1864 shield reverse die 74 scarce, canada 1911c king george v gold sovereign coin as shown, 1993 uk proof gold sovereign pistrucci collection 20009 ozt agw w coa, 1958 britain q e ii gold coin sovereign ngc cert genuine ms 63 opulent, 1912 gold sovereign great britain ngc graded au 58 lot 241, 1907 gold sovereign great britain ngc graded au 53 lot 244, 1914 grbritain g v gold coin sovereign ngc cert genuine ms 62 blazing luster, 1912 gold king george the 5th old english sovereignbu gradepre wwi coin aa, royal mint 2013 special sovereign 22karat gold coins sequential numbers ms69, great britain victoria 1853 shield full gold sovereign s3852c pcgs ms62, british sovereign gold coin elizabeth 11 1958, australian 1870 sydney mint gold sovereign queen victoria young head, 1907 great britain edward vii gold sovereign, 1913c canada george v $10 gold sovereign graded ms63 by icg very rare, full sovereign victria 1877 s sydney shield reverse high grade, 1829 royal mint george iv shield gold full sovereign coin box coa, 1905 gold king edward 7th sovereignmelbourne minthigh grade amp; pre wwi coin



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