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:

2017 Great Britain Gold Sovereign 200th Anniversary In Capsule
2017 Great Britain Gold Sovereign 200th Anniversary In Capsule
$389.95
Australia 1886 M Victoria gold Sovereign St George NGC MS 62
Australia 1886 M Victoria gold Sovereign St George NGC MS 62
$849.99
Australia 1879 M Victoria Gold Sovereign St George PCGC MS 62
Australia 1879 M Victoria Gold Sovereign St George PCGC MS 62
$849.99
14K Yellow Gold Ring w Gold Sovereign Ducat Coin  8 Diamonds 148g size 10
14K Yellow Gold Ring w Gold Sovereign Ducat Coin 8 Diamonds 148g size 10
$1,499.00
1978 Great Britain Gold Sovereign LOOK
1978 Great Britain Gold Sovereign LOOK
$325.43
1979 Great Britain Gold Sovereign LOOK
1979 Great Britain Gold Sovereign LOOK
$325.43
1982 Great Britain Gold Sovereign LOOK
1982 Great Britain Gold Sovereign LOOK
$325.43
1981 Great Britain Gold Sovereign LOOK
1981 Great Britain Gold Sovereign LOOK
$325.43
GOLD COIN 1885 M Australia MELBOURNE Sovereign very sought after more than S
GOLD COIN 1885 M Australia MELBOURNE Sovereign very sought after more than S
$1,345.50
GOLD COIN 1904 UK Great Britain King Edward Gold Sovereign
GOLD COIN 1904 UK Great Britain King Edward Gold Sovereign
$445.50
S AFRICA GV 1927 SA GOLD COIN SOVEREIGN  PCGS CERTIFIED GENUINE MS 63  SCARCE
S AFRICA GV 1927 SA GOLD COIN SOVEREIGN PCGS CERTIFIED GENUINE MS 63 SCARCE
$544.95
GR BRITAIN QE II 1958 GOLD COIN SOVEREIGN  NGC CERTIFIED GENUINE MS 63 AMAZING
GR BRITAIN QE II 1958 GOLD COIN SOVEREIGN NGC CERTIFIED GENUINE MS 63 AMAZING
$469.95
AUSTRALIA GV 1918 P GOLD COIN SOVEREIGN  NGC CERTIFIED GENUINE MS 61  GORGEOUS
AUSTRALIA GV 1918 P GOLD COIN SOVEREIGN NGC CERTIFIED GENUINE MS 61 GORGEOUS
$489.95
2006 GoId Bullion Sovereign 9167 Pure Gold Coin Bullion
2006 GoId Bullion Sovereign 9167 Pure Gold Coin Bullion
$414.27
1910 Edward Vll Gold Sovereign 9167 Pure Gold Coin Bullion
1910 Edward Vll Gold Sovereign 9167 Pure Gold Coin Bullion
$414.27
1884 Great Britain Half Sovereign Gold EF AU
1884 Great Britain Half Sovereign Gold EF AU
$159.50
1844 Great Britain Half Sovereign Gold AU
1844 Great Britain Half Sovereign Gold AU
$174.50
1890 Great Britain Half Sovereign Gold AU
1890 Great Britain Half Sovereign Gold AU
$157.50
1892 Great Britain Half Sovereign Gold AU
1892 Great Britain Half Sovereign Gold AU
$157.50
1908 British GOLD Sovereign King EDWARD 7th Mint marked M
1908 British GOLD Sovereign King EDWARD 7th Mint marked M
$399.99
2016 Australia Sovereign 1 4 oz GOLD 25 coin NGC PF70 UC ER with OGP
2016 Australia Sovereign 1 4 oz GOLD 25 coin NGC PF70 UC ER with OGP
$545.99
2009 Great Britain 1 4SOV GOLD Sovereign Coin NCG MS69 AC623
2009 Great Britain 1 4SOV GOLD Sovereign Coin NCG MS69 AC623
$154.00
GREAT BRITAIN 1848 Full Gold SovereignSheild Reverse Queen Victoria
GREAT BRITAIN 1848 Full Gold SovereignSheild Reverse Queen Victoria
$490.00
AUSTRALIA 1871S Full Gold SovereignSheild WW Incused NGC MS61
AUSTRALIA 1871S Full Gold SovereignSheild WW Incused NGC MS61
$850.00
GREAT BRITAIN 1869 nr5 Full Gold SovereignSheild Reverse NGC MS61
GREAT BRITAIN 1869 nr5 Full Gold SovereignSheild Reverse NGC MS61
$850.00
1909 Great Britian Gold Sovereign 917 Gold 798 Grams United Kingdom
1909 Great Britian Gold Sovereign 917 Gold 798 Grams United Kingdom
$381.52
Great Britain Full Sovereign Gold 1959 Gratia Regina FD+ Elizabeth II DEI
Great Britain Full Sovereign Gold 1959 Gratia Regina FD+ Elizabeth II DEI
$500.00
1907 Great Britain Full Sovereign Gold Coin quality Memory history edwardvs VII
1907 Great Britain Full Sovereign Gold Coin quality Memory history edwardvs VII
$299.00
2013 British Royal Mint St George Gold Proof Full Sovereign Coin PCGS PR70 DCAM
2013 British Royal Mint St George Gold Proof Full Sovereign Coin PCGS PR70 DCAM
$2,999.00
GREAT BRITAIN Half Sovereign 1911 NGC PROOF DETAILS
GREAT BRITAIN Half Sovereign 1911 NGC PROOF DETAILS
$395.00
1987 GREAT BRITAIN 1  2 GOLD SOVEREIGN NGC PROOF COINS PF70 PR70 2 COINS SET
1987 GREAT BRITAIN 1 2 GOLD SOVEREIGN NGC PROOF COINS PF70 PR70 2 COINS SET
$1,675.00
Great Britain 1 2 Sovereign 1988 ELIZABETH Gem Proof gold
Great Britain 1 2 Sovereign 1988 ELIZABETH Gem Proof gold
$187.00
22k Gold 1915 British 1 2 Sovereign King Georgivs V D G Britt OMN REX Coin Ring
22k Gold 1915 British 1 2 Sovereign King Georgivs V D G Britt OMN REX Coin Ring
$429.95
1820 GREAT BRITAIN 1 SOVEREIGN NGC VF DETAILS
1820 GREAT BRITAIN 1 SOVEREIGN NGC VF DETAILS
$2,000.00
GREAT BRITAIN 1 2 Sovereign 1993 NGC PF69UC
GREAT BRITAIN 1 2 Sovereign 1993 NGC PF69UC
$295.00
GREAT BRITAIN 1 Sovereign 1993 NGC PF70UC Top grade
GREAT BRITAIN 1 Sovereign 1993 NGC PF70UC Top grade
$695.00
2017 Gbritain Isov Pisteucci Sovereign 200th Anniversary Pf70 Ultra Cameo rare
2017 Gbritain Isov Pisteucci Sovereign 200th Anniversary Pf70 Ultra Cameo rare
$2,495.00
1983 1 2 Sovereign Gold Great Britain Half Sov Coin NGC PF69 ULTRA CAMEO UK BU
1983 1 2 Sovereign Gold Great Britain Half Sov Coin NGC PF69 ULTRA CAMEO UK BU
$295.00
Great Britain 2013 Gold Sovereign Elisabeth II Box COA NGC MS69 highest grade
Great Britain 2013 Gold Sovereign Elisabeth II Box COA NGC MS69 highest grade
$650.00
2017 Gibraltar Gold Quarter Sovereign Remastered Design NGC PF69 UC ER SKU47822
2017 Gibraltar Gold Quarter Sovereign Remastered Design NGC PF69 UC ER SKU47822
$1,049.00



List Of Recently Purchased Sovereign Gold:


2017 great britain gold sovereign 200th anniversary in capsule, australia 1886m victoria gold sovereign st george ngc ms62, australia 1879m victoria gold sovereign st george pcgc ms62, 14k yellow gold ring w gold sovereign ducat coin amp; 8 diamonds 148g size 10, 1978 great britain gold sovereign look, 1979 great britain gold sovereign look, 1982 great britain gold sovereign look, 1981 great britain gold sovereign look, gold coin 1885 m australia melbourne sovereign very sought after more than s, gold coin 1904 uk great britain king edward gold sovereign, s africa gv 1927 sa gold coin sovereign pcgs certified genuine ms 63 scarce, gr britain qe ii 1958 gold coin sovereign ngc certified genuine ms 63 amazing, australia gv 1918 p gold coin sovereign ngc certified genuine ms 61 gorgeous, 2006 goid bullion sovereign 9167 pure gold coin bullion , 1910 edward vll gold sovereign 9167 pure gold coin bullion , 1884 great britain half sovereign gold efau, 1844 great britain half sovereign gold au, 1890 great britain half sovereign gold au, 1892 great britain half sovereign gold au, 1908 british gold sovereign king edward 7th mintmarked m, 2016 australia sovereign 14 oz gold $25 coin ngc pf70 uc er with ogp, 2009 great britain 14sov gold sovereign coin ncg ms69 ac623, great britain 1848 full gold sovereignsheild reverse queen victoria , australia 1871s full gold sovereignsheild ww incused ngc ms61 , great britain 1869 nr5 full gold sovereignsheild reverse ngc ms61 , 1909 great britian gold sovereign 917 gold 798 grams united kingdom , great britain full sovereign gold 1959 gratia regina fd elizabeth ii dei, 1907 great britain full sovereign gold coin quality memory history edwardvs vii , 2013 british royal mint st george gold proof full sovereign coin pcgs pr70 dcam, great britain half sovereign 1911 ngc proof details , 1987 great britain 1 amp; 2 gold sovereign ngc proof coins pf70 pr70 2coins set , great britain 12 sovereign 1988 elizabeth gem proof gold, 22k gold 1915 british 12 sovereign king georgivs v d g britt omn rex coin ring , 1820 great britain 1 sovereign ngc vf details, great britain 12 sovereign 1993 ngc pf69uc , great britain 1 sovereign 1993 ngc pf70uc top grade , 2017 gbritain isov pisteucci sovereign 200th anniversary pf70 ultra cameo rare, 1983 12 sovereign gold great britain half sov coin ngc pf69 ultra cameo uk bu, great britain 2013 gold sovereign elisabeth ii box coa ngc ms69 highest grade, 2017 gibraltar gold quarter sovereign remastered design ngc pf69 uc er sku47822, 1893 great britain half sovereign gold efau, 1895 great britain half sovereign gold vfxf, 1925 south african george v sovereign gold coin, 1899p australia 1 sovereign ngc unc details rim damage rare perth mint, 1908 gold sovereign london mint edward vii great britain, 1903 gold sovereign perth mint edward vii australia, 1908 british edward vii sovereign gold coin, 1903 gold sovereign melbourn mint edward vii australia, 1910 gold sovereign london mint edward vii great britain, 1905 gold sovereign london mint edward vii great britain, 2009 united kingdom gold proof sovereign, sovereign victoria 1st portrait 1878 die number 8 , 1918 gold sovereign perth mint george v australia, 1913 gold sovereign london mint george v great britain, sovereign 1879 melbourne mint gold coin queen victoria, 1882 great britain gold sovereign victoria young hd km752 xf 01303262g, 1880 great britain gold sovereign victoria young hd km752 xf 01303261g, 1886 great britain gold sovereign victoria young hd km752 xf 01303263g, 1878 gold great britain 12 sovereign young head victoria die 8, 1906 gold sovereign london mint edward vii great britain, 1904 gold sovereign london mint edward vii great britain, 1912m australia sovereign gold coin anacs ms63 choice bu, great britain 1984 gold 12 sovereign ngc pf69uc, austrailia 1875m gold sovereign 1875 m st george victoria young head melbourne, half sovereign 2000 gold queen elizabeth new, 2012 great britain gold sovereign queens diamond jubilee 01 carat diamond, south africa 1928 gold sovereign pcgs ms63 1928sa sov, 1903 p australia sovereign gold , 1911 great britain gold sovereign ngc ms65 rare high grade 2 known, great britain 1907 gold sovereign pcgs au58 1907 sov, 1892 gold great britain queen victoria shield half sovereign coin xf condition, 2011 great britain 4coin gold sovereign set pr69 first strike pcgs, 1918i british sovereign coin king george v full sovereign 8 grams 22k gold, king edward vii great britain 1910 gold sovereign coin, great britain queen victoria sovereign 1864 in 14k gold rope bezel no reserve, 1980 great britain gold 12 sovereign proof, australia 1913s gold sovereign ngc ms63 sydney mint, australia 1907m gold sovereign ngc ms61 melbourne mint, 506143 australia victoria sovereign 1896 sydney au5053 gold km13, australia 1919p king george v sovereign gold pcgs ms63, 1817 full gold sovereign rare first year of this design retails for up to $9000, great britain victoria gold sovereign 1896 , australia gold sovereign pre wwi gem bu 1904 sydney mintking edward vii, 1984 uk great britain proof gold half sovereign coin box coa , 1887m australia gold sovereign of young queen victoria, great britain 1864 gold shield sovereign victoria circulated, great britain 1853 gold shield sovereign victoria circulated, great britain 1862 gold shield sovereign victoria circulated, gr britain gv 1914 gold coin sovereign ngc certified genuine au 58 blazing, great britain sovereign gold coin au 1928 , 1894 australia gold sovereign , 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, 1888m australia sovereign gold coin, victoria shield back gold half sovereign coin 1876 nice details



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