Page:The Rhind Mathematical Papyrus, Volume I.pdf/117

63] Problem 62

''Example of reckoning the content: of a bag of various precious metals. Suppose it is said to thee, .4 bag containing equal weights of gold, silver and lead, has been bought for'' 84 sha'ty. What is the amount in it of each precious metal, that which is given for a deben of gold being 12 sha'ty, for a deben of silver 6 sha'ty, and for a deben of lead 3 sha'ty?

Add that which is given for a deben of each precious metal. The result is 21 sha'ty. Multiply 21 so as to get 84, the 84 sha'ty for which this bag was bought. The result is 4, which is the number of deben of each precious metal.

Do it thus:

Problem 63

Example of dividing 700 loaves among four men in the proportion of the numbers $2/3$, $1/undefined$, $1/undefined$ and $1/undefined$. Let me know the share that each man receives.

Add $2/3$, $1/undefined$, $1/undefined$ and $1/undefined$; it makes 1$1/undefined$$1/undefined$. Get 1 by operating on 1$1/undefined$$1/undefined$; it makes $1/undefined$$1/undefined$. Take M $1/undefined$$1/undefined$ of 700; it is 400. $2/3$,$1/undefined$,$1/undefined$ and $1/undefined$ of 400 will give the shares of the four men.

Do it thus: