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 1966 Sovereign NGC MS65 KM908 02354 oz Gold
Great Britain 1966 Sovereign NGC MS65 KM908 02354 oz Gold
$570.00
Great Britain 1915 Sovereign NGC MS63 KM820 02354 oz Gold
Great Britain 1915 Sovereign NGC MS63 KM820 02354 oz Gold
$525.00
Great Britain 1914 Sovereign NGC MS62 KM820 02354 oz Gold
Great Britain 1914 Sovereign NGC MS62 KM820 02354 oz Gold
$495.00
Great Britain 1913 Sovereign NGC MS62 KM820 02354 oz Gold
Great Britain 1913 Sovereign NGC MS62 KM820 02354 oz Gold
$495.00
Great Britain 1912 Sovereign NGC MS62 KM820 02354 oz Gold
Great Britain 1912 Sovereign NGC MS62 KM820 02354 oz Gold
$495.00
Great Britain 1908 Sovereign NGC MS62 KM805 02354 oz Gold
Great Britain 1908 Sovereign NGC MS62 KM805 02354 oz Gold
$525.00
Great Britain 1903 Sovereign NGC MS62 KM805 02354 oz Gold
Great Britain 1903 Sovereign NGC MS62 KM805 02354 oz Gold
$535.00
1894 VICTORIA SOVEREIGN GOLD COIN LONDON MINT LUSTER SUPERB
1894 VICTORIA SOVEREIGN GOLD COIN LONDON MINT LUSTER SUPERB
$479.00
1908 EDWARD VII SOVEREIGN GOLD COIN LONDON MINT LUSTER SUPERB
1908 EDWARD VII SOVEREIGN GOLD COIN LONDON MINT LUSTER SUPERB
$479.00
Great Britain 1915 Gold Sovereign PCGS MS62 S 3996 KM 820 2355oz Gold
Great Britain 1915 Gold Sovereign PCGS MS62 S 3996 KM 820 2355oz Gold
$525.00
Great Britain 1913 Gold Sovereign PCGS AU58 S 3996 KM 820 2355oz Gold
Great Britain 1913 Gold Sovereign PCGS AU58 S 3996 KM 820 2355oz Gold
$470.00
Great Britain 1913 Gold Sovereign PCGS MS63 S 3996 KM 820 2355oz Gold
Great Britain 1913 Gold Sovereign PCGS MS63 S 3996 KM 820 2355oz Gold
$540.00
Great Britain 1912 Gold Sovereign PCGS MS63 S 3996 KM 820 2355oz Gold
Great Britain 1912 Gold Sovereign PCGS MS63 S 3996 KM 820 2355oz Gold
$540.00
Great Britain 1912 Gold Sovereign PCGS MS61 S 3996 KM 820 2355oz Gold
Great Britain 1912 Gold Sovereign PCGS MS61 S 3996 KM 820 2355oz Gold
$495.00
Great Britain 1912 Gold Sovereign PCGS AU58 S 3996 KM 820 2355oz Gold
Great Britain 1912 Gold Sovereign PCGS AU58 S 3996 KM 820 2355oz Gold
$450.00
Great Britain 1911 Gold Sovereign PCGS AU58 S 3996 KM 820 2355oz Gold
Great Britain 1911 Gold Sovereign PCGS AU58 S 3996 KM 820 2355oz Gold
$450.00
Great Britain 1910 Gold Sovereign PCGS AU53 S 3969 KM 805 2355oz Gold
Great Britain 1910 Gold Sovereign PCGS AU53 S 3969 KM 805 2355oz Gold
$435.00
Great Britain 1907 Gold Sovereign PCGS AU58 S 3969 KM 805 2355oz Gold
Great Britain 1907 Gold Sovereign PCGS AU58 S 3969 KM 805 2355oz Gold
$455.00
Great Britain 1906 Gold Sovereign PCGS AU58 S 3969 KM 805 2355oz Gold
Great Britain 1906 Gold Sovereign PCGS AU58 S 3969 KM 805 2355oz Gold
$455.00
Great Britain UK 1986 3 Gold Sovereign Coin Proof Set PF69 Ultra Cameo NGC Rated
Great Britain UK 1986 3 Gold Sovereign Coin Proof Set PF69 Ultra Cameo NGC Rated
$1,220.00
Great Britain UK 1985 Gold 1 2 Half Sovereign Gold Coin NGC PF69 Ultra Cameo
Great Britain UK 1985 Gold 1 2 Half Sovereign Gold Coin NGC PF69 Ultra Cameo
$295.00
Australia 1876 M 1 Sovereign Sov 90 Gold Coin Melbourne Victoria Young
Australia 1876 M 1 Sovereign Sov 90 Gold Coin Melbourne Victoria Young
$484.55
1896 Gold Half 1 2 Sovereign Victoria and Dragon  Old Head  4
1896 Gold Half 1 2 Sovereign Victoria and Dragon Old Head 4
$490.00
Great Britain 1876 Victoria Sovereign Gold Coin
Great Britain 1876 Victoria Sovereign Gold Coin
$475.00
1862 Gold Sovereign Au 58 NGC NICE COIN
1862 Gold Sovereign Au 58 NGC NICE COIN
$420.00
1889 M Australia Sovereign AU58 NICE ONE NGC
1889 M Australia Sovereign AU58 NICE ONE NGC
$600.00
1857 British Gold Sovereign AU55 NICE
1857 British Gold Sovereign AU55 NICE
$435.00
1887 GOLD GREAT BRITAIN 2 POUNDS DOUBLE SOVEREIGN QUEEN VICTORIA NGC AU58
1887 GOLD GREAT BRITAIN 2 POUNDS DOUBLE SOVEREIGN QUEEN VICTORIA NGC AU58
$1,600.00
Great Britain 1861 Gold Sovereign NGC AU 55
Great Britain 1861 Gold Sovereign NGC AU 55
$549.99
1898 Great Britain Full Sovereign with box box is broken
1898 Great Britain Full Sovereign with box box is broken
$380.00
1927 GOLD GEORGE V SOVEREIGN SOUTH AFRICAN COIN
1927 GOLD GEORGE V SOVEREIGN SOUTH AFRICAN COIN
$500.00
1907 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
1907 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
$259.99
1916 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
1916 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
$259.99
1902 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
1902 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
$259.99
1903 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
1903 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
$259.99
1913 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
1913 British UK Gold Sovereign King Edward Gold Coin 22K 2354 Troy Oz
$259.99
1910 Edward VII Half Sovereign Gold Coin Great Britain London 399 grams
1910 Edward VII Half Sovereign Gold Coin Great Britain London 399 grams
$197.00
KYRGYZSTAN Silver Gold coloured coin 10 Som Sovereign KyrgyzstanPROOF2011
KYRGYZSTAN Silver Gold coloured coin 10 Som Sovereign KyrgyzstanPROOF2011
$99.99
1925 SA South Africa Sovereign Gold Coin ANACS EF 45
1925 SA South Africa Sovereign Gold Coin ANACS EF 45
$450.00
1928 SA South Africa Sovereign Gold Coin ANACS AU 58
1928 SA South Africa Sovereign Gold Coin ANACS AU 58
$495.00



List Of Recently Purchased Sovereign Gold:


great britain 1966 sovereign ngc ms65 km908 02354 oz gold, great britain 1915 sovereign ngc ms63 km820 02354 oz gold, great britain 1914 sovereign ngc ms62 km820 02354 oz gold, great britain 1913 sovereign ngc ms62 km820 02354 oz gold, great britain 1912 sovereign ngc ms62 km820 02354 oz gold, great britain 1908 sovereign ngc ms62 km805 02354 oz gold, great britain 1903 sovereign ngc ms62 km805 02354 oz gold, 1894 victoria sovereign gold coin london mint luster superb, 1908 edward vii sovereign gold coin london mint luster superb, great britain 1915 gold sovereign pcgs ms62 s3996 km820 2355oz gold, great britain 1913 gold sovereign pcgs au58 s3996 km820 2355oz gold, great britain 1913 gold sovereign pcgs ms63 s3996 km820 2355oz gold, great britain 1912 gold sovereign pcgs ms63 s3996 km820 2355oz gold, great britain 1912 gold sovereign pcgs ms61 s3996 km820 2355oz gold, great britain 1912 gold sovereign pcgs au58 s3996 km820 2355oz gold, great britain 1911 gold sovereign pcgs au58 s3996 km820 2355oz gold, great britain 1910 gold sovereign pcgs au53 s3969 km805 2355oz gold, great britain 1907 gold sovereign pcgs au58 s3969 km805 2355oz gold, great britain 1906 gold sovereign pcgs au58 s3969 km805 2355oz gold, great britain uk 1986 3 gold sovereign coin proof set pf69 ultra cameo ngc rated, great britain uk 1985 gold 12 half sovereign gold coin ngc pf69 ultra cameo , australia 1876 m 1 sovereign sov 90 gold coin melbourne victoria young, 1896 gold half 12 sovereign victoria and dragon old head 4, great britain 1876 victoria sovereign gold coin, 1862 gold sovereign au 58 ngc nice coin, 1889 m australia sovereign au58 nice one ngc, 1857 british gold sovereign au55 nice, 1887 gold great britain 2 pounds double sovereign queen victoria ngc au58, great britain 1861 gold sovereign ngc au55, 1898 great britain full sovereign with box box is broken, 1927 gold george v sovereign south african coin, 1907 british uk gold sovereign king edward gold coin 22k 2354 troy oz, 1916 british uk gold sovereign king edward gold coin 22k 2354 troy oz, 1902 british uk gold sovereign king edward gold coin 22k 2354 troy oz, 1903 british uk gold sovereign king edward gold coin 22k 2354 troy oz, 1913 british uk gold sovereign king edward gold coin 22k 2354 troy oz, 1910 edward vii half sovereign gold coin great britain london 399 grams, kyrgyzstan silvergold coloured coin 10 som sovereign kyrgyzstanproof2011, 1925sa south africa sovereign gold coin anacs ef45, 1928sa south africa sovereign gold coin anacs au58, 1928sa south africa sovereign gold coin anacs ms62, 1930sa south africa sovereign gold coin anacs ms63, 1966 great britain gold sovereign head of elizabeth, australiasydney mint1870 sovereign, 1906 gold edward vii sovereignsound hard money that built the british empire, 1913 gold george v sovereignthe sound hard money that built the british empire, half sovereign gold coin 1913, 1829 english sovereign in pcgs holder, 1842 g britain 1sovereign in ngc holder au 55, 1861 australia 1sovereign in ngc holder, 1862 australia 1 sovereign in ngc holder, great britain 1925 gold sovereign ngc ms63, 1913 gold great britain 1 sovereign ngc grade ms 62, 1857 sy 12 sovereign australia pcgs xf 45, 1925 sa gold south africa king george v sovereign ngc mint state 64, 1927 sa gold south africa king george v sovereign ngc mint state 64, 1930 sa gold south africa king george v sovereign ngc mint state 63, 1918 s gold australia sovereign king george v coinage ngc mint state 64, 1824 great britain sovereign in ngc holder au 50, great britain 1853 gold coin 12 half sovereign victoria ngc au united kingdom, 1912 king george vgreat britain full gold sovereign lustre, 1910 king edward viigreat britain full gold sovereign , 1905 king edward viigreat britain full gold sovereign lustre, 1896s australia sovereign gold coinsydney mint in australiacollectible, 1958 britain qe ii gold coin sovereign ngc cert genuine ms 64 imperial lustera, 1920 gold george v sovereign the sound hard money that built the british empire, great britain 1888 gold coin sovereign victoria ngc ms61 united kingdom, 1911 c canada g v gold coin sovereign ngc cert genuine ms 62 fabulous luster a, 1918 p australia g v gold coin sovereign ngc cert genuine ms 61 gorgeous a, 1958 britain q e ii gold coin sovereign ngc cert genuine ms 63 sparkling a, great britain 1871 victoria gold sovereign shield wdie number 31 pcgs ms64, great britain 1871 victoria gold sovereign st george reverse ngc ms64, great britain 2005 gold deluxe sovereign set pcgs proof 69 deep cameo, gold sovereign great britain united kingdom british gold free shipping ssx1, 1918 c canada g v gold coin sovereign ngc cert genuine ms 62 scarce mint amazing, 1918 s king george v sydney gold sovereign coin, 1977 bu isle of man 12 sovereign gold coin, 1925 king george v british gold sovereign coin, victorian 9kt gold bracelet wvictoria halfamp;1820 george iii full sovereign coins, 1918p gold full sovereign perth mint australia agw 2354 troy oz, 1912 great britain 12 sovereign gold coin , 1908 british gold sovereign king edward 7th mintmarked m, 1880 m australia gold sovereign coin nice, australia 2015 sovereign king edwards crown $25 22k gold proof perth mint mark, great britain 2 pounds 1989 gold pcgs pr69dcam 500th anniversary gold sovereign, 1966 gold queen elizabeth the second sovereigna lustrous oldbu grade coin aa, australia queen victoria one gold sovereign sydney mint 1866 golden coin, australia 1873s sydney young victoria gold sovereign coin as shown, australia 1871s sydney veiled victoria gold sovereign coin as shown, great britain 1893 veiled queen victoria gold sovereign coin as shown, great britain 2007 4piece sovereign set pcgs pr69dcam gold coin set as shown, great britain 1988 queen elizabeth ii proof gold half sovereign coin as shown, great britain 1987 queen elizabeth ii proof gold half sovereign coin as shown, great britain 1986 three piece gold sovereign set with case and coa as shown, great britain 2005 queen elizabeth ii gold half sovereign coin knight as shown, great britain 1982 queen elizabeth ii proof gold half sovereign coin as shown, great britain 1919 king george v gold half sovereign coin as shown



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