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:

1889 S Sydney Mint Queen Victoria Jubilee Head Gold Sovereign Coin
1889 S Sydney Mint Queen Victoria Jubilee Head Gold Sovereign Coin
$1,200.00
1931 SA SOUTH AFRICA GOLD SOVEREIGN NGC MS 63  GEORGE V 236 OZ AGW
1931 SA SOUTH AFRICA GOLD SOVEREIGN NGC MS 63 GEORGE V 236 OZ AGW
$410.95
1989 Great Britain 2 Pounds 500th Anniversary of Gold Sovereign NGC PF69
1989 Great Britain 2 Pounds 500th Anniversary of Gold Sovereign NGC PF69
$1,370.00
Fiji 200 Dollars 2011 Gold 1oz PCGS MS68 Pacific Sovereign Nice coin Rare
Fiji 200 Dollars 2011 Gold 1oz PCGS MS68 Pacific Sovereign Nice coin Rare
$1,995.00
GREAT BRITAIN 1887 VICTORIA 1 2 SOVEREIGN GOLD RARE
GREAT BRITAIN 1887 VICTORIA 1 2 SOVEREIGN GOLD RARE
$399.99
1915 Great Britain Gold 1 2 Sovereign MS64 NGC
1915 Great Britain Gold 1 2 Sovereign MS64 NGC
$395.00
1914 Great Britain Gold Half 1 2 Sovereign King George V Head NGC MS64
1914 Great Britain Gold Half 1 2 Sovereign King George V Head NGC MS64
$425.00
1905 Great Britain Gold Sovereign MS63 NGC
1905 Great Britain Gold Sovereign MS63 NGC
$1,500.00
2001 Great Britain Gold Sovereign MS 66 PCGS First Strike
2001 Great Britain Gold Sovereign MS 66 PCGS First Strike
$600.00
1879 S Australia 1 Sovereign Shield Queen Victoria MS 61
1879 S Australia 1 Sovereign Shield Queen Victoria MS 61
$999.95
1906 Great Britain 1 2S Half Sovereign Gold Coin ANACS AU 50 Details Cleaned
1906 Great Britain 1 2S Half Sovereign Gold Coin ANACS AU 50 Details Cleaned
$250.00
1869 Die 37 Great Britain Sovereign Gold Coin ANACS VF 30
1869 Die 37 Great Britain Sovereign Gold Coin ANACS VF 30
$550.00
2013 India Gold Sovereign Gem Uncirculated NGC
2013 India Gold Sovereign Gem Uncirculated NGC
$749.51
1925 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V SOUTH AFRICA AU
1925 ENGLAND GOLD COIN 1 2 SOVEREIGN GEORGE V SOUTH AFRICA AU
$339.00
2000 Great Britain Gold 5 pound Sovereign MS 68 PCGS
2000 Great Britain Gold 5 pound Sovereign MS 68 PCGS
$2,100.00
1918 I British India Sovereign Gold ANACS MS 60 Details Cleaned B
1918 I British India Sovereign Gold ANACS MS 60 Details Cleaned B
$450.00
1974 Isle of Man Sovereign Gold Coin ANACS MS 65
1974 Isle of Man Sovereign Gold Coin ANACS MS 65
$495.00
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
1902 EDWARD VII BARE HEAD GOLD MATT PROOF SOVEREIGN
1902 EDWARD VII BARE HEAD GOLD MATT PROOF SOVEREIGN
$1,299.99
1984 UNITED KINGDOM GOLD 22ct 5 Sovereign BRILLIANT Proof
1984 UNITED KINGDOM GOLD 22ct 5 Sovereign BRILLIANT Proof
$1,699.00
Great Britain 1830 George IV Gold Sovereign Thos H Law Collection NGC AU
Great Britain 1830 George IV Gold Sovereign Thos H Law Collection NGC AU
$2,399.99
1878 UK Great Britain Gold Sovereign Coin ANACS Graded AU 55
1878 UK Great Britain Gold Sovereign Coin ANACS Graded AU 55
$399.95
1901 M Australia GOLD Sovereign Great Britain PCGS AU 55 Shield Cert
1901 M Australia GOLD Sovereign Great Britain PCGS AU 55 Shield Cert
$359.00
GREAT BRITAIN 1910 KING EDWARD VII GOLD HALF SOVEREIGN COIN
GREAT BRITAIN 1910 KING EDWARD VII GOLD HALF SOVEREIGN COIN
$209.00
1983 United Kingdom Great Britain Proof GOLD Sovereign w box  COA
1983 United Kingdom Great Britain Proof GOLD Sovereign w box COA
$335.00
1885 Great Britain Gold 1 2 Sovereign NGC XF45 Victoria
1885 Great Britain Gold 1 2 Sovereign NGC XF45 Victoria
$324.57
INDIA 1918 GOLD SOVEREIGN SCARCE RARE I MINT MARK BU
INDIA 1918 GOLD SOVEREIGN SCARCE RARE I MINT MARK BU
$525.00
1893 Queen Victoria Great Britain Gold Double Sovereign Two Pounds 2 0471 AGW
1893 Queen Victoria Great Britain Gold Double Sovereign Two Pounds 2 0471 AGW
$620.00
King Edward VII Great Britain 1910 Gold Sovereign Coin
King Edward VII Great Britain 1910 Gold Sovereign Coin
$700.00
1973 Isle of Man 1 2S Sovereign Gold Coin ANACS MS 63
1973 Isle of Man 1 2S Sovereign Gold Coin ANACS MS 63
$249.95
2009 NGC MS70 Great Britain 1 4 Sovereign 2 Grams GOLD St George Slaying Dragon
2009 NGC MS70 Great Britain 1 4 Sovereign 2 Grams GOLD St George Slaying Dragon
$250.80
1880 Great Britain SHIELD 108 mint mark GOLD Half SOVEREIGN 1177 AGW Very Rare
1880 Great Britain SHIELD 108 mint mark GOLD Half SOVEREIGN 1177 AGW Very Rare
$160.00
RARE first year of issue King George III 1817 Gold Sovereign CERTIFIED AU 58
RARE first year of issue King George III 1817 Gold Sovereign CERTIFIED AU 58
$2,995.00
1869 GREAT BRITAIN HALF SOVEREIGN EXTREMELY FINE LEATHER PURSE TONED
1869 GREAT BRITAIN HALF SOVEREIGN EXTREMELY FINE LEATHER PURSE TONED
$171.06
1892 GREAT BRITAIN HALF SOVEREIGN ABOUT UNCIRCULATED KM
1892 GREAT BRITAIN HALF SOVEREIGN ABOUT UNCIRCULATED KM
$166.50
AUSTRALIA 1878 M GOLD SOVEREIGN NGC AU 53
AUSTRALIA 1878 M GOLD SOVEREIGN NGC AU 53
$315.00
AUSTRALIA 1881 M GOLD SOVEREIGN NGC XF 45
AUSTRALIA 1881 M GOLD SOVEREIGN NGC XF 45
$315.00
1913 ENGLAND GOLD COIN SOVEREIGN AU UNC SUPERB
1913 ENGLAND GOLD COIN SOVEREIGN AU UNC SUPERB
$549.00
1983 UK GREAT BRITAIN GOLD PROOF SOVEREIGN GEM BU BOX COA
1983 UK GREAT BRITAIN GOLD PROOF SOVEREIGN GEM BU BOX COA
$552.22
1910 Great Britain Gold Sovereign King George VII
1910 Great Britain Gold Sovereign King George VII
$345.67



List Of Recently Purchased Sovereign Gold:


1889 s sydney mint queen victoria jubilee head gold sovereign coin, 1931sa south africa gold sovereign ngc ms 63 george v 236 oz agw, 1989 great britain 2 pounds 500th anniversary of gold sovereign ngc pf69, fiji 200 dollars 2011 gold 1oz pcgs ms68 pacific sovereign nice coin rare , great britain 1887 victoria 12 sovereign gold rare , 1915 great britain gold 12 sovereign ms64 ngc , 1914 great britain gold half 12 sovereign king george v head ngc ms64, 1905 great britain gold sovereign ms63 ngc , 2001 great britain gold sovereign ms66 pcgs first strike , 1879s australia 1 sovereign shield queen victoria ms 61 , 1906 great britain 12s half sovereign gold coin anacs au50 details cleaned, 1869 die 37 great britain sovereign gold coin anacs vf30 , 2013 india gold sovereign gem uncirculated ngc, 1925 england gold coin 12 sovereign george v south africa au, 2000 great britain gold 5 pound sovereign ms68 pcgs , 1918i british india sovereign gold anacs ms60 details cleaned b, 1974 isle of man sovereign gold coin anacs ms65, 1910 edwardvs vii d g britt omn rex f d ind impgold 12 sovereign coin , 1902 edward vii bare head gold matt proof sovereign , 1984 united kingdom gold 22ct 5 sovereign brilliant proof, great britain 1830 george iv gold sovereign thos h law collection ngc au , 1878 uk great britain gold sovereign coin anacs graded au 55, 1901m australia gold sovereign great britain pcgs au 55 shield cert, great britain 1910 king edward vii gold half sovereign coin, 1983 united kingdom great britain proof gold sovereign wbox amp; coa, 1885 great britain gold 12 sovereign ngc xf45 victoria, india 1918 gold sovereign scarce rare i mint mark bu, 1893 queen victoria great britain gold double sovereign two pounds 2 0471 agw, king edward vii great britain 1910 gold sovereign coin, 1973 isle of man 12s sovereign gold coin anacs ms63 , 2009 ngc ms70 great britain 14 sovereign 2 grams gold st george slaying dragon, 1880 great britain shield 108 mint mark gold half sovereign 1177 agw very rare, rare first year of issue king george iii 1817 gold sovereign certified au58, 1869 great britain half sovereign extremely fine leather purse toned, 1892 great britain half sovereign about uncirculated km, australia 1878m gold sovereign ngc au 53, australia 1881m gold sovereign ngc xf 45, 1913 england gold coin sovereign au unc superb, 1983 uk great britain gold proof sovereign gem bu boxcoa, 1910 great britain gold sovereign king george vii, australia 1864 victoria gold sovereign pcgsxf45 rare sydney mint variety, great britain 1820 gold sovereign pcgs ms62 large date open 2 s3785c rare, great britain 1911 gold sovereign proof pcgs pr65cam, 1912 gbritain gold sovereign pcgs king george v , 1918 p australia g v gold coin sovereign ngc cert genuine ms 61 bold luster a, great britain 12 sovereign 1985 pcgs pr69dcam , uk 1844 sovereign victoria wide date f, uk 1842 sovereign victoria vf, antique georgian english harrisons improved sovereign balance scale c1830 boxed, sovereign great britain gold coin st george variety year free gift, 1889s australia gold sovereign great britain gold coins of europe with coa, proof 2003 united kingdom gold half sovereign 01177 ounce gold coin w box , mw4235 south africa; gold sovereign 1927 sa ngc ms64, gold proof coin half sovereign 1966 cyprus makarios 3994g politiciansdiplomats, mw4237 south africa; gold sovereign 1928 sa ngc ms64, gold proof coin sovereign 1966 cyprus makarios 7998g rarefrench mintphalirea , ngc ms65raregold half sovereign 1966 cyprus makarios 399g zypern greece cipro, 1901 great britain uk british sovereign 9167 pure 2354 troy oz fine gold old, 1912 22k gold british gold sovereign georgivs vdgbrittomnrex coinpendant, 1992 proof gold double sovereign gem proof w box amp; coa royal mint, 1825 great britain gold sovereign king george iv xf au bare bust, 2015 qe2 proof gold full sovereign boxedcoa, 1958 full sovereign gold coin, 1910 edward vii half sovereign gold coin great britain london 399 grams, rare 1892 s australian victoria jubilee sovereign gold coin , australia victoria 22ct gold 1863 half sovereign coin sydney mint 4g not scrap, uk gold sovereign five coin collection, great britain gold sovereign king edward vii 9161000 22k fine gold 1904, 1926 south africa gold sovereign ms64 ngc , australia victoria 1874m sovereign gold coin certified pcgs xf45, australia victoria 1874s sovereign gold coin certified pcgs vf35, great britain 2011 gold sovereign pcgs pr69 dcam first strike, 1915 s sydney mint sovereign king george3 brilliant uncirculated ms , 2000 gold great britain 2 sovereign ngc proof 69 ultra cameo, 1987 gold great britain 12 sovereign ngc perfect proof 70 ultra cameo, 2010 gold great britain 12 sovereign ngc perfect proof 70 ultra cameo, 2000 gold great britain 12 sovereign ngc perfect proof 70 ultra cameo, us uk king george v gold full sovereign 1912 s, ca uk queen victoria gold full sovereign 1894 m, 1872 great britain 1 sovereign shield reverse die 45 graded by ngc as xf45, australia 1903 sydney gold edward vii sovereignhard money that built a empire, 1909 edward vii gold full sovereign coin you grade it, 1928 sa gold south africa king george v sovereign ngc mint state 63, england gold coin sovereign victoria 1900 xf, 1925 sa gold south africa king george v sovereign ngc mint state 63, 1927 sa gold south africa king george v sovereign ngc mint state 63, england gold coin sovereign victoria 1878 xf melburne, 1887 great britain 12 sovereign jubilee head ngc unc det surface hairlines, great britain 1984 large gold coin five sovereign ngc ms 67 united kingdom, australia 1911sydney george v sovereignthe sound money that built the empire, great britain 1837 william iv gold sovereign ngc ms63, great britain 1887 victoria half sovereign ngc ms66, australia 1901 m gold sovereign bu, australia 1882m gold sovereign ngc au 53 no minimum bid or reserve, australia 1882s gold sovereign ngc au 55 no minimum bid or reserve, mw5164 great britain; gold 12 sovereign 1861 victoria 18371901 km7351, mw5165 great britain; gold 12 sovereign 1898 victoria 18371901 km784



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