*Benjamin Banneker (1731-1806) was born to a former slave on a farm near Baltimore. He taught himself surveying, astronomy, and mathematics. He later published several almanacs containing his astronomical observations. Banneker surveyed the District of Columbia. Here is one of his puzzles for homework. Make a guess and check table or show your work in some fashion:*

A gentleman sent his servant with £100 to buy 100 cattle, with orders to give £5 for each bullock, 20 shillings for cows, and one shilling for each sheep. The question is to know what number of each sort he bought for his master.

NOTES: 20 shillings = £1; bullock = young bull

Cattle = animals in the genus bovine, includes cows, bulls, sheep, goats, swine, horses.