Those that defire to be fully fatisfied in the common Values of Foreign Coins, Weights, Measures, &c. may find them in a Book called the Merchants Map of Commerce, which for Brevity fake I have omitted tranfcribing, and only collected these few of Coin. In Italy and Spain. A Rixdollar of the Empireo. 4 The Livre at Leghorn =0. 0. 9 Venice Ducat de Banco 0.4.4 The Current Ducato The Naples Ducato 5 3 4 3 5 5 The Cadiz Ducato The Valencia Ducato. 5.3 Note, The English generally reckon their Exchange with other Countries by Pence, viz. other Countries value their Crowns, Dollars, or Ducats, &c. by English Pence. Except with fome Parts of the Low Countries, with whom the Exchange is in Pounds Sterling. Queft. 1. How many Dollars, at 4s. 6 d. per Dollar, may one have for 1627. 18 s. Anfwer, 724 Dollars. Thus = Thus 162/. 18 s. 3258 s. and 4 s. 6d. = 54d. Queft. 2. How many Saragoffa Ducats, of 5 s. 6 d. the Ducat, may be had for 275 Bergonia Ducats, at 4s. 4 d. the Piece? Anfwer, 216 and 3 s. 8 d. over. Thus 5 s. 6 d. 66 d. and 4 s. 4 d. — 52 d. the Answer required. Queft. 3. A Traveller would change 2331. 16 s. 8 d. Sterling Money, for Venice Ducats at 4s. 9 d. per Ducat; How many Ducats muft he have? Answer, 976 Ducats. Thus 4s. 9d. = 57,5 d. and 233l. 16 s. 8 d. — 56120 d. Then 57,5 d.) 56120 d. (976 the Answer required. Quest. 4. A Cashier hath received 759 Ducats, at 7 s. 6d. per Ducat; and 579 Dollars at 4 s. 8 d. per Dollar: Which he would exchange for Flemish Marks at 14 s. 3 d. per Piece: How many ought he to have? Answer, 589 Marks, 15 d. over. For 7 s. 6d. 90 d. and 4 s. 8 d. = 56 d. Then {759 × 90=68310d. the Value of the Ducats. And 14s. 3 d. 171 d. the Flemish Mark in Pence. Queft. 5. A Bill of Exchange was accepted at London for the Payment of 400 l. Sterling, for the like Value delivered in Amferdam, at 1 l. 135. 6 d. for 17. Sterling; How much Money was delivered at Amfterdam? For 11. 240 d. and 11. 13 s. 6 d. Anfwer, 6701. Flemish. 402 d. Then 240: 402 :: 400: 670 the Answer required. Quest, 6. When the Exchange from Antwerp to London is at 11. 4. 7 d. Flemish, for 11. Sterling; How many Pounds Sterling must be paid at London, to balance 236 1. Flemish at Antwerp? Answer, 1927. Sterling. Thus 1. 4s. 7 d. 295 d. and 1l. = 240 d. Queft. 7. A Merchant delivered at London 120l. Sterling to receive 1471. Flemish in Amfterdam; How much was 17. Sterling valued at, in Flemish Money? Anfwer, 11. 4s. 6d. Thus 120: 147: 240d.: 294 d. = 1 l. 4 s. 6 d. &c. Quest. 8. A Factor hath fold Goods at Cadiz for 1468 Pieces of Eight, valued at 4 s. 6d. Sterling per Piece; How much Sterling Money do thofe Pieces of Eight amount to? Answer, 333. 7 s. 2 d. Thus, if I 54,5 d. then 1468 x 54,5 = 83006 d. &c. Quest. 9. A Traveller would have an equal Number of Crowns at 5 s. 6 d. per Crown; and Dollars at 4 s. 5 d. per Piece; How many of each fort may he have for 309 1. 8 s.? Answer, 624 of each. Then 119) 74256 (624 the Answer required. Queft. 10. Suppose I would exchange 527 l. 17 s. 6 d. for Dollars at 4 s. 6d. a Piece, Ducats at 5s. 8 d. a Piece, and Crowns at 6s. 1 d. a Piece; and would have 2 Dollars for I Ducat, and 3 Dollars for 2 Crowns. How many of each sort muft I have? Anfwer, 927 Dollars, 463 Ducats, and 618 Crowns. Now if the Crowns, Dollars, and Ducats were to be equal in Number; then 73+54+68 muft have been the Divifor, by which 126690 muft have been divided, and the Quotient would have been the Answer to the Queflion. As in the laft Example. But here inftead of their Sum, fuch Parts of them must be taken as are affigned or limited by the Queflion; that fo the Number of fome one of them may be found. And because there must be $2 Dollars for 1 Ducat, and 13 Dollars for 2 Crowns, T Therefore it will be of a Ducat for one Dollar, and of a Crown for one Dollar. Confequently, Confequently, 54+:+3 of 73 = 136, or +1° will be the Divifor to find the Number of Dollars. Thus +1°) 126690 (927 the Number of Dollars. Or if you please you may form Divifors to find either the Ducats or Crowns firft: For if it be 2 Dollars for 1 Ducat, and 3 Dollars for 2 Crowns, as before; Then will 6 Dollars be for 3 Ducats, and 6 Dollars for 4 Crowns. Therefore, {of a Dollar} will be for I Crown. a Ducat = Confequently, of 54: +4 of 68:+73 205 will be the Divifor to find the Crowns firft, &c. Queft. 11. A Cafhier is to receive 500 l. He is offered Crowns at 6s. 1 d. per Crown, which are worth but 6 s. Or he may have Dollars at 4 s. 5 d. the Piece, which are worth but 4 s. 4d. Which of these thall he receive to have the leaft Lofs? And how much will he lofe in the Payment? I 2 SI Crown 72 d. { I Dollar = 52 d. according to the true Values. { } 1 Dollar = 53,0 d. the advanced Values. Now to find which will be the leaft Lofs; find what the advanced Value of a Dollar ought to be in Proportion to that of I Crown. Thus 72: 73,5: 52: 53,083, &c. But he may have Dollars at 53 d. per Piece, therefore the Payment in Dollars will be the leaft Lofs; viz. 53 is less than 53,083, &c. Next, to find what the whole Lofs will be by receiving Dollars. Because the 500 l. 120000 d. is advanced as much above the true Value, as 53 d. is above 52 d. therefore fay, If 53 d. advance 1 d. 53 d. 52 d.; what will 120000 d. advance? i. e. 53 d. 1 d.:: 120000 d.: 22643d. = 9 1. 8 s. 4 333 d. the Lofs. 8 = Queft. 12. Suppofe I exchange 41. 105. 10 d. for 11 Crowns and 7 Dollars; and at another Time I have 4 Crowns and 3 Dollars for 1. 15s. each being of the fame Value with the firf. What is the Value of a Crown, and of a Dollar? Firft 11 Crowns +7 Dollars = 1090d.} by the Queftion. Second 4 Crowns +3 Dollars 420 S Then in order to find the Value of 1 Crown, you must caft off the Dollars by making them of the fame Number; Thus, 33 Crowns +21 Dollars = 3270 d. the firft multipl. with 3. 28 Crowns+21 Dollars = 2940 d. the fecond multipl. with 7. Then 5 Crowns 330 d. being the Difference. Confequently 5) 330 (66 = And 4 Crowns 264 d. Then will 3 Dollars 420 d. Confequently 3) 156 (52 d. 5 s. 6 d. is the Value of 1 Crown. WH CHA P. IX. of Alligation. HEN it is required to mix feveral Sorts of Ingredients together; as different Sorts of Corn, Wines, Wool, Spices, or Metals; or to compofe Medicines, &c. the Method of proportioning fuch Mixtures, is called the Rule of Alligation; andis divided into two Parts or Branches called Medial and Alternate. Sect. 1. Of Alligation Medial. ALligation Medial, is that by which the Mean Rate or Price of any Mixture is found, when the particular Quantities of the Mixtures and Rates are given; and is thus performed. Firft find the Sum of all the Quantities proposed to be mixed; and alfo the Sum of all their particular Rates. le { Rule Then the Proportion will be, As the Sum of all the Quantities: Is to the Sum of all their Queft. r. Suppofe 15 Bufhels of Wheat at 5 s. the Bufhel, and 12 Bufhels of Rye at 3s. 6 d. the Bufhel, were mixed together; What |