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:

GREAT BRITAIN HALF SOVEREIGN 1927 MINT MARK SA 22K GOLD ANTIQUE COIN
GREAT BRITAIN HALF SOVEREIGN 1927 MINT MARK SA 22K GOLD ANTIQUE COIN
$399.00
Australia 1 Sovereign 1867 Sydney Mint Victoria Gold Coin KM 4 UNC
Australia 1 Sovereign 1867 Sydney Mint Victoria Gold Coin KM 4 UNC
$780.00
Great Britain 1 Sovereign 1852 Victoria Gold Coin KM 7361 UNC
Great Britain 1 Sovereign 1852 Victoria Gold Coin KM 7361 UNC
$780.00
GREAT BRITAIN SOUTH AFRICA GOLD SOVEREIGN 1927 799 gr 02354 oz 0917 gold BU
GREAT BRITAIN SOUTH AFRICA GOLD SOVEREIGN 1927 799 gr 02354 oz 0917 gold BU
$460.00
GREAT BRITAIN SOUTH AFRICA GOLD SOVEREIGN 1927 799 gr 02354 oz 0917 gold BU
GREAT BRITAIN SOUTH AFRICA GOLD SOVEREIGN 1927 799 gr 02354 oz 0917 gold BU
$460.00
GREAT BRITAIN SOUTH AFRICA GOLD SOVEREIGN 1928 799 gr 02354 oz 0917 gold BU
GREAT BRITAIN SOUTH AFRICA GOLD SOVEREIGN 1928 799 gr 02354 oz 0917 gold BU
$460.00
GREAT BRITAIN GOLD SOVEREIGN 1912 799 gr 02354 oz 0917 gold BU
GREAT BRITAIN GOLD SOVEREIGN 1912 799 gr 02354 oz 0917 gold BU
$460.00
1966 Queen Elizabeth II Great Britain Gold Sovereign BRILLIANT UNC MS CE94
1966 Queen Elizabeth II Great Britain Gold Sovereign BRILLIANT UNC MS CE94
$350.00
1901 UK Great Britain Gold 1 2 Sovereign beautiful graded coin
1901 UK Great Britain Gold 1 2 Sovereign beautiful graded coin
$386.10
1875S Australia Gold Sovereign St George XF40 NGC WINGS
1875S Australia Gold Sovereign St George XF40 NGC WINGS
$429.00
GREAT BRITAIN 1 2 Sovereign 1985 PCGS PR69DCAM
GREAT BRITAIN 1 2 Sovereign 1985 PCGS PR69DCAM
$325.00
1907 Great Britain Sovereign Gold Coin ANACS AU 58 A AMT
1907 Great Britain Sovereign Gold Coin ANACS AU 58 A AMT
$414.75
1907 Great Britain Sovereign Gold Coin ANACS AU 58 B AMT
1907 Great Britain Sovereign Gold Coin ANACS AU 58 B AMT
$414.75
1907 Great Britain Sovereign Gold Coin ANACS AU 58 C AMT
1907 Great Britain Sovereign Gold Coin ANACS AU 58 C AMT
$414.75
RARE 1899P Gold Sovereign Full Victoria Old Head Perth Mint Fine
RARE 1899P Gold Sovereign Full Victoria Old Head Perth Mint Fine
$567.67
1870 Australia Gold 1 Sovereign NGC AU53 3233903 005
1870 Australia Gold 1 Sovereign NGC AU53 3233903 005
$549.95
1907 Great Britain Sovereign Gold Coin ANACS MS 61 AMT
1907 Great Britain Sovereign Gold Coin ANACS MS 61 AMT
$446.25
1907 Great Britain Sovereign Gold Coin ANACS MS 62 AMT
1907 Great Britain Sovereign Gold Coin ANACS MS 62 AMT
$450.00
1908 Great Britain Sovereign Gold Coin ANACS AU 53 AMT
1908 Great Britain Sovereign Gold Coin ANACS AU 53 AMT
$414.75
1908 Great Britain Sovereign Gold Coin ANACS AU 55 A AMT
1908 Great Britain Sovereign Gold Coin ANACS AU 55 A AMT
$430.50
1908 Great Britain Sovereign Gold Coin ANACS AU 55 B AMT
1908 Great Britain Sovereign Gold Coin ANACS AU 55 B AMT
$430.50
1908 Great Britain Sovereign Gold Coin ANACS AU 58 AMT
1908 Great Britain Sovereign Gold Coin ANACS AU 58 AMT
$446.25
1908 Great Britain Sovereign Gold Coin ANACS MS 61 AMT
1908 Great Britain Sovereign Gold Coin ANACS MS 61 AMT
$450.00
1908 Great Britain Sovereign Gold Coin ANACS MS 62 AMT
1908 Great Britain Sovereign Gold Coin ANACS MS 62 AMT
$475.00
2012 Great Britain Premium Sovereign Gold Proof 3 Coin Set Box Coa Mintage 340
2012 Great Britain Premium Sovereign Gold Proof 3 Coin Set Box Coa Mintage 340
$3,499.95
1899 P Australia full Gold Sovereign EF 40 Perth Mint key date coin
1899 P Australia full Gold Sovereign EF 40 Perth Mint key date coin
$612.78
1877 S Australia Gold Shield full Sovereign gEF EF AU nice grade Sydney Mint
1877 S Australia Gold Shield full Sovereign gEF EF AU nice grade Sydney Mint
$466.17
1908 Great Britain Sovereign Gold Coin ANACS MS 63 AMT
1908 Great Britain Sovereign Gold Coin ANACS MS 63 AMT
$525.00
1909 Great Britain Sovereign Gold Coin ANACS AU 55 AMT
1909 Great Britain Sovereign Gold Coin ANACS AU 55 AMT
$414.75
1917 C Canada Gold Sovereign PCGS MS62 Coin BU Old Green Holder
1917 C Canada Gold Sovereign PCGS MS62 Coin BU Old Green Holder
$498.00
Australia Gold Sovereign 1897 M Choice AU Uncirculated
Australia Gold Sovereign 1897 M Choice AU Uncirculated
$325.00
Great Britain Gold Sovereign 1872 MS 63 NGC
Great Britain Gold Sovereign 1872 MS 63 NGC
$635.00
1910 Great Britain Sovereign Gold Coin ANACS AU 55 A AMT
1910 Great Britain Sovereign Gold Coin ANACS AU 55 A AMT
$414.75
1910 Great Britain Sovereign Gold Coin ANACS AU 55 B AMT
1910 Great Britain Sovereign Gold Coin ANACS AU 55 B AMT
$414.75
1932 SA Gold Sovereign NGC MS63 King George V South Africa Coin BU
1932 SA Gold Sovereign NGC MS63 King George V South Africa Coin BU
$588.00
1910 Great Britain Sovereign Gold Coin ANACS AU 58 A AMT
1910 Great Britain Sovereign Gold Coin ANACS AU 58 A AMT
$430.50
1910 Great Britain Sovereign Gold Coin ANACS AU 58 B AMT
1910 Great Britain Sovereign Gold Coin ANACS AU 58 B AMT
$430.50
1879 M Australia Gold Sovereign St George Reverse NGC AU53 Sov
1879 M Australia Gold Sovereign St George Reverse NGC AU53 Sov
$458.00
1887 S Australia 1 Gold Sovereign Young Head  St George NGC AU55 Sov
1887 S Australia 1 Gold Sovereign Young Head St George NGC AU55 Sov
$588.00
1910 Great Britain Sovereign Gold Coin ANACS AU 58 C AMT
1910 Great Britain Sovereign Gold Coin ANACS AU 58 C AMT
$430.50



List Of Recently Purchased Sovereign Gold:


great britain half sovereign 1927 mint mark sa 22k gold antique coin, australia 1 sovereign 1867 sydney mint victoria gold coin km4 unc, great britain 1 sovereign 1852 victoria gold coin km7361 unc, great britain south africa gold sovereign 1927 799 gr 02354 oz 0917 gold bu, great britain south africa gold sovereign 1927 799 gr 02354 oz 0917 gold bu, great britain south africa gold sovereign 1928 799 gr 02354 oz 0917 gold bu, great britain gold sovereign 1912 799 gr 02354 oz 0917 gold bu, 1966 queen elizabeth ii great britain gold sovereign brilliant uncms ce94, 1901 uk great britain gold 12 sovereign beautiful graded coin, 1875s australia gold sovereign st george xf40 ngc wings , great britain 12 sovereign 1985 pcgs pr69dcam , 1907 great britain sovereign gold coin anacs au58 a amt, 1907 great britain sovereign gold coin anacs au58 b amt, 1907 great britain sovereign gold coin anacs au58 c amt, rare 1899p gold sovereign full victoria old head perth mint fine, 1870 australia gold 1 sovereign ngc au53 3233903005, 1907 great britain sovereign gold coin anacs ms61 amt, 1907 great britain sovereign gold coin anacs ms62 amt, 1908 great britain sovereign gold coin anacs au53 amt, 1908 great britain sovereign gold coin anacs au55 a amt, 1908 great britain sovereign gold coin anacs au55 b amt, 1908 great britain sovereign gold coin anacs au58 amt, 1908 great britain sovereign gold coin anacs ms61 amt, 1908 great britain sovereign gold coin anacs ms62 amt, 2012 great britain premium sovereign gold proof 3 coin set box coa mintage 340, 1899p australia full gold sovereign ef40 perth mint key date coin, 1877s australia gold shield full sovereign gef efau nice grade sydney mint, 1908 great britain sovereign gold coin anacs ms63 amt, 1909 great britain sovereign gold coin anacs au55 amt, 1917c canada gold sovereign pcgs ms62 coin bu old green holder, australia gold sovereign 1897m choice auuncirculated, great britain gold sovereign 1872 ms 63 ngc, 1910 great britain sovereign gold coin anacs au55 a amt, 1910 great britain sovereign gold coin anacs au55 b amt, 1932 sa gold sovereign ngc ms63 king george v south africa coin bu, 1910 great britain sovereign gold coin anacs au58 a amt, 1910 great britain sovereign gold coin anacs au58 b amt, 1879m australia gold sovereign st george reverse ngc au53 sov, 1887s australia 1 gold sovereign young head amp; st george ngc au55 sov, 1910 great britain sovereign gold coin anacs au58 c amt, australia 1886m gold sovereign st george amp; dragon ngc au55 sov, australia 1886m gold sovereign st george amp; dragon ngc au58 sov, 2012 great britain sovereign gold proof 3 coin set box coa mintage 700, 1909 great britain gold sovereign ngc ms63 bu sov uncirculated , 1910 great britain sovereign gold coin anacs ms62 amt, 1911 great britain sovereign gold coin anacs au55 amt, great britain 1910 gold 12 sovereign, victoria gold sovereign 1861roman i in marsh r2 very rare , half sovereign gold coin 1902, england choice uncirculated 2000 gold sovereign of elizabeth ii free usa ship, rare great britain victoria 1841 halfsovereign ngc au58, 1876 m australia gold sovereign ngc ms61 unc melbourne coin, 1913 great britain king george v gold sovereign pcgs ms63 uncirculated bu uk sov, 1900 half sovereign queen victoria veil uk gold coin great britain rare , authentic greek 22k gold sovereign cyprus makarios set within 18k gold pendant , 1872 sovereign great britain au55 pcgs, 1900s 1 half 12 sovereign sidney mint australia 398gr rare only 260000 coins, 2012 great britain gold double sovereign pr70 pcgs sku 94814, 1989 ngc pf69ucam great britain gold 12 half sovereign 500th anniv 1year type, 1989 ngc pf69ucam great britain gold proof sovereign 500th anniv 1year type, 1911 australia gold sovereign 2354 a6w foreign coin free sh, 1888 australia gold sovereign 2354 a6w foreign coin free sh, 1989 great britain 4coin gold sovereign 500th anniv boxcapsulescoa no coins, 2016 $15 australia half sovereign gold coin pcgs pr70dcam first strike, 2608 pcgs graded rare 1899s sydney gold british sovereign ms62, 1929 p australia gold sovereign, 2609 pcgs graded rare 1900m melbourne gold british sovereign ms61, australia 1868 gold sovereign ngc xf40 sydney mint, 2610 pcgs graded rare 1898s sydney gold british sovereign ms61, 2005 $25 150th annivesary australian sovereign ngc pf70 ultra cameo , 1891 great britain sovereign gold coin high quality scans c870, 1870 australian gold sovereign type ii scarce ngc au58, goldaustralia 12 sovereign 1906s unc, australia gold coin mint melburn 1 sovereign 1887 m victoria km7, goldgreat britain 12 sovereign 1885, australia great britain av sovereign 1875 s victoria ngc au 58 shield , 2014 gold sovereign struck in india 798 grams by royal mint, great britain uk full sovereign gold 1959 unc rare year low mintage , great britain victoria gold sovereign 1896 , great britain victoria young head shield back gold sovereign 1870, rare 1903 king edward vii great britain gold half sovereign from the london mint, brilliant uncirculated rare 1958 queen elizabeth ii english full gold sovereign, 15150 grandebretagne george v sovereign 1912 sup gold km820, 2015 gold sovereign struck in india 798 grams by royal mint guinea, 1925 great britain1 sovereign gold coin brilliant uncirculated ms rare , australia 1878s full gold sovereignsheild reverse pcgs au55 , great britain queen victoria 12 sovereign 1900 399 gr 01177 oz 0917 gold, 1909 king edward vii half sovereign gold coin london nice , 1966 great britain gold sovereign elizabeth bu coin uk sov, 2000 great britain gold sovereign millennium 1st strike pcgs ms66 135955, 2013 gold sovereign limited edition from the royal mint wbox and coa, 1927sa south africa uncirculated gold sovereign ngc ms64 137589, 1931sa south africa uncirculated gold sovereign ngc ms64 141995, 1891 british 1 sovereign gold coin pendant charm in 14k gold bezel, 1890 great britain12 half gold sovereign coin ngc au58 almost uncirculated uk, 1918i gold sovereign india one year type gem mint state, 1911c gold sovereign canada uncirculated scarce



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