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:

1826 GOLD SOVEREIGN GREAT BRITAIN NO RESERVE  H1332
1826 GOLD SOVEREIGN GREAT BRITAIN NO RESERVE H1332
$493.00
Estate 1918 S KING GEORGE V SYDNEY GOLD SOVEREIGN COIN
Estate 1918 S KING GEORGE V SYDNEY GOLD SOVEREIGN COIN
$799.00
1989 PROOF GOLD SOVEREIGN 500th Anniversary  RARE
1989 PROOF GOLD SOVEREIGN 500th Anniversary RARE
$861.00
2009 UK Quarter Sovereign Gold Proof Coin
2009 UK Quarter Sovereign Gold Proof Coin
$215.00
1880 M AUSTRALIA GOLD SOVEREIGN COIN NICE
1880 M AUSTRALIA GOLD SOVEREIGN COIN NICE
$525.00
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
2016 Great Britain Gold Proof Full Sovereign Coin PCGS PR69 James Butler Pop 2
2016 Great Britain Gold Proof Full Sovereign Coin PCGS PR69 James Butler Pop 2
$1,399.95
1887 British Queen Victoria Jubilee Head Gold Half Sovereign Coin PCGS MS65+
1887 British Queen Victoria Jubilee Head Gold Half Sovereign Coin PCGS MS65+
$2,299.95
1908 EDWARD VII SOVEREIGN GOLD COIN LONDON MINT LUSTER SUPERB
1908 EDWARD VII SOVEREIGN GOLD COIN LONDON MINT LUSTER SUPERB
$399.00
2006 GREAT BRITAIN TWO SOVEREIGN NGC PF69 PR69 GOLD
2006 GREAT BRITAIN TWO SOVEREIGN NGC PF69 PR69 GOLD
$999.00
1986 GREAT BRITAIN HALF 1 2 SOVEREIGN GOLD NGC PF69 PR69
1986 GREAT BRITAIN HALF 1 2 SOVEREIGN GOLD NGC PF69 PR69
$329.00
1987 GREAT BRITAIN HALF 1 2 SOVEREIGN NGC PF69 PR69 GOLD
1987 GREAT BRITAIN HALF 1 2 SOVEREIGN NGC PF69 PR69 GOLD
$345.00
1986 GREAT BRITAIN FULL GOLD SOVEREIGN GOLD COIN NGC PF70 PR70
1986 GREAT BRITAIN FULL GOLD SOVEREIGN GOLD COIN NGC PF70 PR70
$1,085.00
Australia 1886 M Young Victoria Gold Sovereign  High Grade   KM 7
Australia 1886 M Young Victoria Gold Sovereign High Grade KM 7
$356.25
1982 Proof Half Sovereign With Case COA in Original Royal Mint Capsule KM 922
1982 Proof Half Sovereign With Case COA in Original Royal Mint Capsule KM 922
$198.89
Australia 1893 S Gold 1 2 Sovereign
Australia 1893 S Gold 1 2 Sovereign
$238.88
Australia 1907M Gold Sovereign NGC MS 63 Melbourne Mint
Australia 1907M Gold Sovereign NGC MS 63 Melbourne Mint
$449.99
Australia 1907S Gold Sovereign NGC MS 63 Sydney Mint
Australia 1907S Gold Sovereign NGC MS 63 Sydney Mint
$449.99
1877 Great Britain Queen Victoria Y13 Gold Half Sovereign Die L50 E4604
1877 Great Britain Queen Victoria Y13 Gold Half Sovereign Die L50 E4604
$327.00
1896 Great Britain Gold Sovereign Queen Victoria Veiled Head AU Condition
1896 Great Britain Gold Sovereign Queen Victoria Veiled Head AU Condition
$495.00
1918 M AUSTRALIA GOLD SOVEREIGN KM 29 Certified by NGC MS 61 A5596
1918 M AUSTRALIA GOLD SOVEREIGN KM 29 Certified by NGC MS 61 A5596
$429.00
Great Britain 1852 Gold 1 Sovereign Extremely Fine EF XF Shield Type
Great Britain 1852 Gold 1 Sovereign Extremely Fine EF XF Shield Type
$499.95
Great Britain 1861 Gold 1 Sovereign Extremely Fine EF XF Shield Type
Great Britain 1861 Gold 1 Sovereign Extremely Fine EF XF Shield Type
$449.95
Great Britain 1853 Gold 1 Sovereign Extremely Fine EF XF Shield Type Raised WW
Great Britain 1853 Gold 1 Sovereign Extremely Fine EF XF Shield Type Raised WW
$599.95
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type
$429.95
Great Britain 1864 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 93
Great Britain 1864 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 93
$399.95
Great Britain 1869 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 45
Great Britain 1869 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 45
$399.95
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 23
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 23
$399.95
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 26
Great Britain 1871 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 26
$399.95
AUSTRALIA 1901 Melbourne Mint Full Sovereign Queen Victoria
AUSTRALIA 1901 Melbourne Mint Full Sovereign Queen Victoria
$450.00
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 74
Great Britain 1872 Gold 1 Sovereign Extremely Fine EF XF Shield Type Die 74
$399.95
2015 Struck on Day Second Birthday Prince George Gold Full Sovereign Coin Coa
2015 Struck on Day Second Birthday Prince George Gold Full Sovereign Coin Coa
$1,299.95
1984 Great Britain Proof 1 2 Sovereign 24 k Gold NGC PF69 Ultra Cameo UC
1984 Great Britain Proof 1 2 Sovereign 24 k Gold NGC PF69 Ultra Cameo UC
$1,500.00
1907 Great Britain Edward VII Gold Sovereign Brilliant Uncirculated KM 805 E4605
1907 Great Britain Edward VII Gold Sovereign Brilliant Uncirculated KM 805 E4605
$427.00
BJStamps 2009 Great Britain QUARTER SOVEREIGN GOLD Proof w box COA
BJStamps 2009 Great Britain QUARTER SOVEREIGN GOLD Proof w box COA
$175.00
Great britain half sovereign 1894
Great britain half sovereign 1894
$199.00
ABOUT UNCIRCULATED 1885 M GOLD SOVEREIGN AUSTRALIA MINT SHIELD REVERSE AU KM6
ABOUT UNCIRCULATED 1885 M GOLD SOVEREIGN AUSTRALIA MINT SHIELD REVERSE AU KM6
$599.99
2015 Great Britain 5 Coin Gold Sovereign Proof Set NGC Proof 70 Ultra Cameo
2015 Great Britain 5 Coin Gold Sovereign Proof Set NGC Proof 70 Ultra Cameo
$4,499.99
FANTASTIC MENS 14K YELLOW GOLD BRITISH SOVEREIGN 1911 KING GEORGE RING 156g
FANTASTIC MENS 14K YELLOW GOLD BRITISH SOVEREIGN 1911 KING GEORGE RING 156g
$944.99
1905 BRITAIN GOLD COIN EDWARDVS VII D G BRITT OMN REX FD IND 1 2 SOVEREIGN
1905 BRITAIN GOLD COIN EDWARDVS VII D G BRITT OMN REX FD IND 1 2 SOVEREIGN
$369.99



List Of Recently Purchased Sovereign Gold:


1826 gold sovereign great britain no reserve h1332, estate 1918 s king george v sydney gold sovereign coin, 1989 proof gold sovereign 500th anniversary rare , 2009 uk quarter sovereign gold proof coin, 1880 m australia gold sovereign coin nice, 1998 great britain 5 sovereign 11775 oz england ngc ms68 gold , 2016 great britain gold proof full sovereign coin pcgs pr69 james butler pop 2, 1887 british queen victoria jubilee head gold half sovereign coin pcgs ms65, 1908 edward vii sovereign gold coin london mint luster superb, 2006 great britain two sovereign ngc pf69 pr69 gold , 1986 great britain half 12 sovereign gold ngc pf69 pr69 , 1987 great britain half 12 sovereign ngc pf69 pr69 gold , 1986 great britain full gold sovereign gold coin ngc pf70 pr70 , australia 1886m young victoria gold sovereign high grade km 7 , 1982 proof half sovereign with case coa in original royal mint capsule km 922, australia 1893s gold 12 sovereign, australia 1907m gold sovereign ngc ms63 melbourne mint, australia 1907s gold sovereign ngc ms63 sydney mint, 1877 great britain queen victoria y13 gold half sovereign die l50 e4604, 1896 great britain gold sovereign queen victoria veiled head au condition, 1918m australia gold sovereign km 29 certified by ngc ms 61 a5596, great britain 1852 gold 1 sovereign extremely fine ef xf shield type, great britain 1861 gold 1 sovereign extremely fine ef xf shield type, great britain 1853 gold 1 sovereign extremely fine ef xf shield type raised ww, great britain 1872 gold 1 sovereign extremely fine ef xf shield type, great britain 1864 gold 1 sovereign extremely fine ef xf shield type die 93, great britain 1869 gold 1 sovereign extremely fine ef xf shield type die 45, great britain 1871 gold 1 sovereign extremely fine ef xf shield type die 23, great britain 1871 gold 1 sovereign extremely fine ef xf shield type die 26, australia 1901 melbourne mint full sovereign queen victoria , great britain 1872 gold 1 sovereign extremely fine ef xf shield type die 74, 2015 struck on day second birthday prince george gold full sovereign coin coa, 1984 great britain proof 12 sovereign 24 k gold ngc pf69 ultra cameo uc, 1907 great britain edward vii gold sovereign brilliant uncirculated km805 e4605, bjstamps 2009 great britain quarter sovereign gold proof w box coa, great britain half sovereign 1894, about uncirculated 1885m gold sovereign australia mint shield reverse au km6, 2015 great britain 5coin gold sovereign proof set ngc proof 70 ultra cameo, fantastic mens 14k yellow gold british sovereign 1911 king george ring 156g, 1905 britain gold coin edwardvs vii d g britt omn rex fd ind 12 sovereign, great britain 1837 william iv sovereign thos h law collection ngc ms61 rrr, australia 1899p victoria gold sovereign ngc ms61 key date rare, 1824 gold great britain 12 sovereign king george iv coin ngc very fine 20, 1846 gold great britain 12 sovereign queen victoria young head coin ngc xf 45, 1892 great britain 12 sovereign victoria jubilee gold coin pendant no reserve, united kingdom sovereign 1966 queen elizabeth ii full detail, great britain 1966 gold sovereign elizabeth ii original coin in beautiful condit, 1918 s king george v australia sydney mint gold sovereign beautiful coin, 1911 uk great britain 12 half sovereign beautiful original gold coin, 1912 georgivs v dg brittomn rex imp king george v british sovereign gold coin, 1914 uk great britain 12 half sovereign beautiful original gold coin, great britain 1958gold sovereign elizabeth ii original coin in beautiful condit, gold great britain 1900 sovereign xfau, 1871 great britain victoria gold sovereign coin uncirculated, 18872014 great britain gold 12 sovereign avg circ sku 10982, 1895 g britain gold 1 sovereign ngc ms63 queen victoria veiled head, 1911 gold sovereign king george v 02354 troy oz in capsule, 1905 p gold sovereign king edward vii perth mint 02354 troy oz in capsule, 1917 p australia gold sovereign ngc ms62, 1887 s australia gold sovereign bu ngc ms 61 scarce population of just 13 coins , 1820 great britain gold sovereign icg graded ef 45 lot 2246, 1928 south africa sovereignkm 2122ct goldxf917 finefree usa shipping, 2000 british sovereign gold coin millennium first strike pcgs ms 67, australia 1880 m gold sovereign ngc ms61 st george sharp lustrous looks great, australia 1919 p gold sovereign ngc ms62 sharp bright lustrous looks great, australia 1920 p gold sovereign ngc ms62 sharp bright lustrous looks great, 2016 $25 australia perth mint sovereign gold coin pcgs pr69dcam first strike, 2016 $25 australia perth mint sovereign gold coin pcgs pr70dcam first strike, great britain 1 sovereign 2003 ngc pf70uc top grade , 2002 great britain golden jubilee sovereign22ct goldstill sealed916 fine, great britain 1836 one sovereign gold coin 1sov xf details surface hairlines ngc, australia gold sovereign 1875s st george au58, 1864 great britain sovereigndie 3822ct goldxf916 finemint errors, 1928 south africa gold british sovereign 2354 agw , 1900 s victoria gold half sovereign australia rare, england gold coin sovereign 1981 proof superb, antique 1871 british gold coin victoria half sovereign coat of arms crown shield, 24605 belgium brabant philippe iv of spain double sovereign, 1913m melbourne australia gold sovereign george 5 v pcgs ms63 , great britain 1864 qnvictoria sovereign douro treasure scarce coin ngcau50, uk gold proof 1986 sovereign coins set double full half scottish thistle box coa, 1990 united kingdom gold proof sovereign fourcoin set collection eagle new ogp, rare 1872 australia sydney gold half 12 sovereign ngc xf40 extra fine coin, 1871 great britain gold sovereign ngc vf35 st george km752, 1851 great britain gold sovereign pcgs ms63 s3852c, 1867 australia gold sovereign ngc xf45 victoria, 1847 great britain gold sovereign pcgs ms64 s3852, 1925sa south africa gold 12 sovereign ms63 ngc sku 88100, 1915 george v gold sovereign ms 64, 1863 gold sovereign victoria au 58 pristine, 1911 gold sovereign george v pristine condition, 1918 england george v sovereign gold coin australia perth mint state superb, great britain george v 1911 av halfsovereign ngc pr63 km 819; scbc4006, great britain victoria 1885 av halfsovereign ngc ms63 wo die no s3861, 1928sa full sovereign gold coin george v unc no reserve, 1900 full sovereign gold coin victoria veiled au no reserve, 1918i gold sovereign india one year type gem mint state



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