A TABLE reprefenting the conformity which the with each other, taken from Postlethwayt's Commercial the long 3. Suppofe you owe 100 anees of wheat at Lyons, and would know what quantity you would purchase at Macon to replace them, and have no other means of knowledge but the following; viz. 2 X 19 X 20 = 760 9) 760 (84 anees of Macon, the answer. 4. Suppofe a merchant of Hamburgh, not knowing the proportion between the ell of that place and yard of London, and having orders to procure 81 yards of cloth, of which 7 ells of Hamburgh muft be had for 31. fterling; how fhall he difcover how many pounds fterling the 81 yards will amount to, only by knowing that 7 ells of France make 9 yards of London, and 7 ells of Holland make 4 ells of France, and that I ell of Holland make 1 of Hamburgh ? Note, fince I = 1}; confequently, 56, which difpatches the fraction. g yards of London 4 ells of France = 5 ditto of Holland 7 ells of France. ells of Holland. ditto of Hamburgh. 3 pound fterling. 2X5= 10, dividend. *.* 56.7 = 561. 14 s. the answer required. The END of the SECOND BOOK. W HEN corn, wine, fpices, metal, &c. are required to be mixed together, the method of proportioning fuch mixtures is called the rule of alligation. SECT. I. ALLIGATION MEDIAL. BY alligation medial the mean rate or price of any mix ture is found, when the particular quantities and their prices are given. RULE. Firft find the fum of all the quantities proposed to be mixed, and alfo the fum of their particular rates; then as the fum of all the quantities is to the fum of all the rates fo is any part of the mixture to the mean rate or price of that part. 1. A vintner mixeth 31 gallons of Malaga fack, worth 7 s. 6d. a gallon, with 18 gallons of Canary, at 6 s. 9 d. a gallon; 13 gallons of cherry, at 5 s. a gallon; and 27 gallons of white wine, at 4 s. 3 d. a gallon; what is a gallon of this mixture worth? |