Page:The Rhind Mathematical Papyrus, Volume I.pdf/120

104 Proof. Find $2/3$ of $1/undefined$, of 315.

These are those that he brought.

Problem 66

Suppose a scribe says to thee, Four overseers have drawn 100 great quadruple hekat of grain, their gangs consisting, respectively, of 12, 8, 6 and 4 ''men. How much does each overseer receive?''

There are 30 men in all. Multiply 30 so as to get 100; it makes 3$2/3$ The amount given for each man is therefore 3$1/undefined$$2/3$$1/undefined$' hekat 1$1/undefined$, ro, Take this amount 12 times for the ﬁrst overseer, 8 times for the second. 6 times for the third, and 4 times for the fourth.

The multiplication.

List of the amounts of grain for the four overseers:

The first with 12 workmen will have

$1/undefined$ of 100 hekat 15 hekat or 40 hekat

The second with 8 workmen will have

$1/undefined$ of 100 hekat 1 $1/undefined$$2/3$$1/undefined$ hekat 3$1/undefined$ro " 26$1/undefined$ "

The third with 6 workmen will have

20 hekat " 20 "