Six ships - the Conch, the Cowry, the Murex, the Nautilus, the Triton, and the Whelk - recently returned from an exotic shelling expedition. Interestingly, their collective harvest consisted of the six types of shells whose names the ships bore. The shipīs captains were Caldwell, Carson, Mason, Newman, Taylor and Whitley. From the following clues, can you name each shipīs captain and tell the kinds and numbers of shells each ship brought back from the expedition?

01) The total hauls, each divisible by 5, ranged from one shipīs 50 to a low of 25.
02) Only one captainīs name began with the same letter as his ship.
03) Newmanīs ship brought back five times as many cowries as did the Murex, which brought back one fewer cowry than did the Nautilus.
04) Either two or three kinds of shells were collected by every ship but the Whelk; its haul, all of one kind, equaled the Conchīs total for three kinds.
05) No ship but Masonīs brought back any shells matching its own name.
06) Taylorīs ship brought back 12 tritons and over a dozen conch shells.
07) The Nautilus, which was not Whitleyīs ship, brought back more shells than the Cowry but not as many shells as the Murex.
08) Only Masonīs ship returned from the expedition with nautilus shells; they numbered fewer than 5.
09) Carsonīs ship came sailing back with 3 tritons; Caldwellīs ship returned with 4 tritons; but the Nautilus collected no tritons at all.
10) The Triton, which brought back no cowries, returned with equal numbers of different kinds of shells; its total haul was smaller than that of at least one other ship.
11) The Conch brought back 14 murexes; the ship captained by Whitley collected 20 murexes.
12) Only the Nautilus brought back whelks; these whelks numbered one fewer than the total number of tritons brought back by all the ships taking part in the expedition.
13) Carsonīs ship brought back more shells than did Caldwellīs ship; among Carsonīs collected shells were 7 cowries.

Caldwell captained the Conch and brought back 35 shells:
17 Cowry
14 Murex
4 Triton

Carson captained the Murex and brought back 50 shells:
40 Conch
7 Cowry
3 Triton

Mason captained the Nautilus and brought back 30 shells:
8 Cowry
4 Nautilus
18 Whelk

Newman captained the Whelk and brought back 35 shells:
35 Cowry

Taylor captained the Cowry and brought back 25 shells:
13 Conch
12 Triton

Whitley captained the Triton and brought back 40 shells:
20 Conch
20 Murex

In total all 6 ships brought back:
73 Conch
67 Cowry
34 Murex
4 Nautilus
19 Triton
18 Whelk

Posted by Lisa on 2005-09-13 10:50:43