Page:The Rhind Mathematical Papyrus, Volume I.pdf/125

74] Find the excess of 45 over 10; it is 35. Multiply 10 so as to get 35; it makes 3$1/undefined$. Multiply 100 by 3$1/undefined$; it makes 350. Add 100 thereto; it makes 450. Say then that there are exchanged 100 loaves of pefsu 10 for 450 loaves of pefsu 45, making in wedyet-flour 10 hekat.

Problem 73

Suppose it is said to thee, 100 loaves of pefsu 10 are to be exchanged for loaves of pefsu 15. How many oftlzese will there be?

Reckon the amount of wedyet-ﬂour in these 100 loaves; it is 10 hekat. Multiply 10 by 15; it makes 150. This then is the number of loaves for the exchange.

Do it thus: 100 loaves of pefsu 10 would be exchanged for 150 loaves of pefsu 15. It takes 10 hekat.

Problem 74

Another problem. 1000 loaves of pefsu 5 are to be exchanged a half for loaves of pefsu 10, an a half for loaves of pefsu 20. How many of each will there be?

1000 loaves of pefsu 5 will take 200 hekat of Upper Egyptian barley. This then is the amount of wedyet-flour in these loaves. $1/undefined$ of the 200 hekat is 100 hekat. Multiply 100 by 10; it makes 1000, the number of loaves of pefsu 10. Multiply 100 by 20; it makes 2000, the number of loaves of pefsu 20.

Do it thus: 1000 loaves of pefsu 5, made from 200 hekat of wedyet-flour, can be exchanged for 1000 loaves of pefsu 10, taking 100 hekat, and 2000 loaves of pefsu 20, taking 100 hekat.