Seven treasure chests, made of gold, silver, tin, steel, brass, pewter and lead, each contain coins of one of the seven metals. No two chests contain the same type of coin.

The pewter chest does not contain tin coins.

The brass chest does not contain silver coins.

The tin chest does not contain lead coins.

The coins in the silver chest and the chest containing the steel coins are of the same metal.

The coins in the gold chest and the chest containing the brass coins are of the same metal.

The coins in the steel chest and the chest containing the gold coins are of the same metal.

Which chest contains which coins?