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:

2014 Great Britain 5 Coin Gold Sovereign Proof Set SKU 91286
2014 Great Britain 5 Coin Gold Sovereign Proof Set SKU 91286
$5,027.29
1918 I GOLD SOVEREIGN INDIA ONE YEAR TYPE GEM MINT STATE
1918 I GOLD SOVEREIGN INDIA ONE YEAR TYPE GEM MINT STATE
$368.00
2005 GOLD AUSTRALIA 25 DOLLAR 150TH ANNIVERSARY SOVEREIGN COIN NGC PROOF 70 UC
2005 GOLD AUSTRALIA 25 DOLLAR 150TH ANNIVERSARY SOVEREIGN COIN NGC PROOF 70 UC
$440.00
1887 1893 S Australia Gold Sovereign Victoria Jubilee Avg Circ SKU 91495
1887 1893 S Australia Gold Sovereign Victoria Jubilee Avg Circ SKU 91495
$366.18
iNi Great Britain Edward VII Half SOVEREIGN MATTE PROOF 1902 NGC PF 63
iNi Great Britain Edward VII Half SOVEREIGN MATTE PROOF 1902 NGC PF 63
$719.10
1998 GREAT BRITAIN 5 SOVEREIGN 11775 Oz ENGLAND NGC MS68 GOLD
1998 GREAT BRITAIN 5 SOVEREIGN 11775 Oz ENGLAND NGC MS68 GOLD
$2,375.00
1871 ENGLISH MINT OLD GOLD EARLY HEAD VICTORIA SOVEREIGN ATTRACTIVE DETAILED
1871 ENGLISH MINT OLD GOLD EARLY HEAD VICTORIA SOVEREIGN ATTRACTIVE DETAILED
$397.99
2013 Royal Mint Gold Proof Full Sovereign Coin Box Coa Certificate Number 0001
2013 Royal Mint Gold Proof Full Sovereign Coin Box Coa Certificate Number 0001
$3,999.95
1893 Great Britain Queen Victoria Gold Sovereign
1893 Great Britain Queen Victoria Gold Sovereign
$340.00
CANADA GV 1911 C GOLD COIN SOVEREIGN  ANACS CERTIFIED GENUINE MS 62  SPARKLING
CANADA GV 1911 C GOLD COIN SOVEREIGN ANACS CERTIFIED GENUINE MS 62 SPARKLING
$564.95
FANTASTIC MENS 14K YELLOW GOLD BRITISH SOVEREIGN 1911 KING GEORGE RING 156g
FANTASTIC MENS 14K YELLOW GOLD BRITISH SOVEREIGN 1911 KING GEORGE RING 156g
$924.99
GREAT BRITAIN 1885 Half Sovereign Queen Victoria 1
GREAT BRITAIN 1885 Half Sovereign Queen Victoria 1
$185.00
1872 NGC AU 58 1 2 SOVEREIGN GREAT BRITAIN 1872 KM7352
1872 NGC AU 58 1 2 SOVEREIGN GREAT BRITAIN 1872 KM7352
$975.00
Australia 1897M Gold Sovereign PCGS MS 61
Australia 1897M Gold Sovereign PCGS MS 61
$449.99
Australia 1914S Gold 1 2 Sovereign NGC MS 62
Australia 1914S Gold 1 2 Sovereign NGC MS 62
$314.88
Australia 1912S Gold 1 2 Sovereign NGC MS 62
Australia 1912S Gold 1 2 Sovereign NGC MS 62
$314.88
Great Britain 1915 Gold Sovereign NGC MS 62
Great Britain 1915 Gold Sovereign NGC MS 62
$449.99
Great Britain 1914 Gold Sovereign NGC MS 62
Great Britain 1914 Gold Sovereign NGC MS 62
$449.99
Great Britain 1911 Gold Sovereign NGC MS 62
Great Britain 1911 Gold Sovereign NGC MS 62
$449.99
ENGLAND GOLD COIN SOVEREIGN 1967 UNC MS++ SUPERB LUSTER KM908
ENGLAND GOLD COIN SOVEREIGN 1967 UNC MS++ SUPERB LUSTER KM908
$399.00
STELLAR 1900 M AUSTRALIA MINT QUEEN VICTORIA VEILED HEAD GOLD SOVEREIGN LUSTROUS
STELLAR 1900 M AUSTRALIA MINT QUEEN VICTORIA VEILED HEAD GOLD SOVEREIGN LUSTROUS
$389.99
2016 Australia Half Sovereign GOLD 15 coin NGC PF70 UC ER with OGP
2016 Australia Half Sovereign GOLD 15 coin NGC PF70 UC ER with OGP
$299.99
Great Britain 1911 Gold Sovereign NGC AU 55
Great Britain 1911 Gold Sovereign NGC AU 55
$399.99
1891 NGC MS61 Great Britain 1 2 Sovereign Gold Coin Lot 265
1891 NGC MS61 Great Britain 1 2 Sovereign Gold Coin Lot 265
$1.00
1864 GOLD SOVEREIGN VICTORIA
1864 GOLD SOVEREIGN VICTORIA
$600.00
1871 1879 Australia Gold Sovereign Victoria EF SKU 73544
1871 1879 Australia Gold Sovereign Victoria EF SKU 73544
$428.68
1913 M MELBOURNE AUSTRALIA GOLD SOVEREIGN GEORGE 5  V  PCGS MS63
1913 M MELBOURNE AUSTRALIA GOLD SOVEREIGN GEORGE 5 V PCGS MS63
$595.00
King George V 1927 Full Gold Sovereign Pendant
King George V 1927 Full Gold Sovereign Pendant
$799.00
18393 Australia Victoria Sovereign 1886 Sydney Gold KM7
18393 Australia Victoria Sovereign 1886 Sydney Gold KM7
$516.00
18398 Great Britain George V 1 2 Sovereign 1911 Gold KM819
18398 Great Britain George V 1 2 Sovereign 1911 Gold KM819
$243.00
GREAT BRITAIN SOVEREIGN GOLD COIN AU 1928
GREAT BRITAIN SOVEREIGN GOLD COIN AU 1928
$399.99
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
$2,575.00
1904 Great Britain Half Sovereign Gold Coin Pendent in 14k Yellow Gold Bezel
1904 Great Britain Half Sovereign Gold Coin Pendent in 14k Yellow Gold Bezel
$310.00
Australia Gold Sovereign 1883 S Extremely Fine
Australia Gold Sovereign 1883 S Extremely Fine
$355.00
Australia Gold Sovereign 1874 M EF Almost Uncirculated
Australia Gold Sovereign 1874 M EF Almost Uncirculated
$375.00
Australia Gold Sovereign 1875 M Extremely Fine
Australia Gold Sovereign 1875 M Extremely Fine
$345.00
Australia Gold Sovereign 1876 M Extremely Fine
Australia Gold Sovereign 1876 M Extremely Fine
$345.00
Australia Gold Sovereign 1879 S EF Almost Uncirculated
Australia Gold Sovereign 1879 S EF Almost Uncirculated
$375.00
Australia Gold Sovereign 1882 M EF Almost Uncirculated
Australia Gold Sovereign 1882 M EF Almost Uncirculated
$375.00
Australia Gold Sovereign 1883 M Almost Uncirculated
Australia Gold Sovereign 1883 M Almost Uncirculated
$385.00



List Of Recently Purchased Sovereign Gold:


2014 great britain 5coin gold sovereign proof set sku 91286, 1918i gold sovereign india one year type gem mint state, 2005 gold australia $25 dollar 150th anniversary sovereign coin ngc proof 70 uc, 18871893s australia gold sovereign victoria jubilee avg circ sku 91495, ini great britain edward vii half sovereign matte proof 1902 ngc pf 63, 1998 great britain 5 sovereign 11775 oz england ngc ms68 gold , 1871 english mint old gold early head victoria sovereignattractive detailed , 2013 royal mint gold proof full sovereign coin box coa certificate number 0001, 1893 great britain queen victoria gold sovereign, canada gv 1911 c gold coin sovereign anacs certified genuine ms 62 sparkling, fantastic mens 14k yellow gold british sovereign 1911 king george ring 156g, great britain 1885 half sovereign queen victoria 1, 1872 ngc au 58 12 sovereign great britain 1872 km7352 , australia 1897m gold sovereign pcgs ms61 , australia 1914s gold 12 sovereign ngc ms62, australia 1912s gold 12 sovereign ngc ms62, great britain 1915 gold sovereign ngc ms62, great britain 1914 gold sovereign ngc ms62, great britain 1911 gold sovereign ngc ms62, england gold coin sovereign 1967 unc ms superb luster km908, stellar 1900m australia mint queen victoria veiled head gold sovereignlustrous, 2016 australia half sovereign gold $15 coin ngc pf70 uc er with ogp, great britain 1911 gold sovereign ngc au55, 1891 ngc ms61 great britain 12 sovereign gold coin lot 265, 1864 gold sovereign victoria, 18711879 australia gold sovereign victoria ef sku 73544, 1913m melbourne australia gold sovereign george 5 v pcgs ms63 , king george v 1927 full gold sovereign pendant, 18393 australia victoria sovereign 1886 sydney gold km7, 18398 great britain george v 12 sovereign 1911 gold km819, great britain sovereign gold coin au 1928 , 1987 great britain 1 amp; 2 gold sovereign ngc proof coins pf70 pr70 2coins set , 1904 great britain half sovereign gold coin pendent in 14k yellow gold bezel , australia gold sovereign 1883s extremely fine, australia gold sovereign 1874m efalmost uncirculated, australia gold sovereign 1875m extremely fine, australia gold sovereign 1876m extremely fine, australia gold sovereign 1879s efalmost uncirculated, australia gold sovereign 1882m efalmost uncirculated, australia gold sovereign 1883m almost uncirculated, australia gold sovereign 1884m st george almost uncirculated, australia gold sovereign 1884s extremely fine, australia gold sovereign 1886m choice auuncirculated, australia gold sovereign 1887m almost uncirculated, australia gold sovereign 1881s efalmost uncirculated, australia gold sovereign 1884m extremely fine, australia gold sovereign 1885m almost uncirculated, 1852 british sovereign au victoria gold coin; bright luster nice coin, 2012 5 gold sovereign diamond jubilee pcgs ms69 first strike coa 0015, 1967 great britain gold sovereign elizabeth ngc ms63 uncirculated bu coin uk, 1915 great britain gold sovereign pcgs ms 64, 1964 great britain gold sovereign elizabeth ngc ms65 uncirculated bu coin uk, 1963 great britain gold sovereign elizabeth ngc ms63 uncirculated bu coin uk, 1902 australia gold sovereign edward vii, 1925 great britain gold sovereign king george ngc ms64 uncirculated bu coin uk, 1864 great britain gold sovereign anacs au 58, 1873 england gold coin half sovereign victoria london die 241 young head, 1918pgold sovereign australia brilliant unc, 1912sgold sovereign australia brilliant unc, 1925gold sovereign great britain brilliant unc, 1913mgold sovereign australia brilliant unc, 1926gold full sovereign south africa 8 grams, 1871sgold sovereign australia shield scarce issue, india 1918 i gold sovereign unc, 1918i gold sovereign india one year type gem mint state 3, 1909 great britain half sovereign gold coin lot 1859121, 1906 great britain sovereign gold coin anacs au55 ww, south africa gold sovereign 1928 22k, great britain 1871 victoria gold sovereign shield reverse die 28 ngc ms64, 1925 great britain sovereign gold coin anacs ms63 ww, great britain 1887 victoria gold sovereign ngc ms64, great britain 1845 roman i victoria gold sovereign ngc au58 rrr, 1925 great britain sovereign gold coin anacs ms64 better ww, great britain coin sovereign 1980 elizabeth ii ngc pf 66 ultra cameo, 1927sa south african gold sovereign gem bu pcgs ms64 blazer pretty toning, 1918i gold sovereign bombay india george v coin ngc ms63 uncirculated, australia victoria sovereign sidney mint 1870 gold coin fine, 1873 sovereign gold ngc au53 victoria shield great britain coin, 1927 sa gold sovereign ngc ms64 king george v south africa coin, australia gv 1918 p gold coin sovereign ngc certified genuine ms 61 bold, s africa gv 1928 sa gold coin sovereign ngc certified genuine ms 62 scarce, australia gv 1918 p gold coin sovereign ngc certified genuine ms 61 scarce, 1896 gold half 12 sovereign victoria and dragon, australia 2015 perth mint half sovereign 15 dollars gold ngc pf70 ultra cameo, 2016 $25 australia perth mint sovereign gold coin pcgs pr70dcam first strike, 1986 amp; 1987 great britain 3 gold sovereign coins set wpcgs pr69 , uncirculated proof 1982 gold half sovereign from the uk great britain sparkler, australia 1868 gold sovereign ngc xf40 sydney mint, 1983 22k gold united kingdom proof sovereign in its original case w coa papers, india 2013 gold sovereign ngc69, 2004 great britain 12 gold sovereign proof, 1985 great britain gold 5 sovereign ngc ms 67, 1931sa south africa sovereign gold coin s4005 pcg ms 64 inv 1008, 1918s australian sovereign gold coin s4003 pcg ms 61 inv 1009, 1879m australian sovereign gold coin s3857 long tail pcg au 53 inv 1010, 1908p australian sovereign gold coin s3972 pcg au 55 inv 1011, 1907p australian sovereign gold coin s3972 pcg au 53 inv 1012



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