3. If 100l. will gain 61. a year; in what time will 1001. gain 141. £• mo. £ 100: 12:: 6 Ans. 7 months. 147. in 7 months; what is the rate per £. mo.. Int. 400 7: 14 Ans. £6. 5. What Principal at 61. per cent. per annum, will gain 14l. in 7 months ? £: mo. Int. 100: 12:: 6 7: 14 Ans. £400. 6. An usurer put out 861. to receive interest for the same; and when it had continued 8 months, he received principal and interest, 88l. 17s."4d.; I demand at what rate per cent. per ann. he received interest? Ans. 5 per ct. 7. If 20 bushels of wheat are sufficient for a family of 8 persons 5 months, how much will be sufficient for 4 sons 12 months? Ans. 24 bushels. 8. If 30 men perform a piece of work in 20 days; how many men will accomplish another piece of work 4 times as large in a fifth part of the time? 21° 30 20:1 per Ans. 600. 9. If the carriage of 5 cwt. 3 qrs. 150 miles, cost 24 dollars 58 cents; what must be paid for the carriage of cwt. 2qrs. 25 lb. 64 miles at the same rate? Ans. $14, 08cts. 6m.+ 10. If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days; in what time will 24 men build one 200 feet long, 8 feet high, and 6 feet thick ? 8: 12 :: 20×6×4 24 : 200×8×6 80 days, Ans. CONJOINED PROPORTION, Is when the coins, weights or measures of several countries are compared in the same question; or it is joining many proportions together, and by the relation which several antecedents have to their consequents, the proportion between the first antecedent and the last consequent is discovered, as well as the proportion between the others in their several respects. NOTE. This rule may generally be abridged by cancelling equal quantities, or terms that happen to be the same in both columns: and it may be proved by as many statings in the Single Rule of Three, as the nature of the question may require. CASE I. When it is required to find how many of the first sort of coin, weight or measure, mentioned in the question, are equal to a given quantity of the last. RULE. Place the numbers alternately, beginning at the left hand, and let the last number stand on the left hand col. umn; then multiply the left hand column continually for a dividend, and the right hand for a divisor, and the qua tient will be the answer. EXAMPLES. 1. If 100lb. English make 95lb. Flemish, and 19lb, Flemish 25lb. at Bologna; how many pounds English are equal to 50lb. at Bologna?, lb. lb. 100 Eng.=95 Flemish. 19 Fle. =25 Bologna. 50 Bologna. Then 95×25=2375 the divisor. 95000 dividend, and 2375)95000(40 Ans. 2. If 40lb. at New-York, make 48lb. at Antwerp, and 30lb. at Antwerp, make 36lb. at Leghorn; how many lb. at New-York are equal to 144lb. at Leghorn ? Ans. 100lb. 3. If 70 braces at Venice be equal to 75 braces at Leghorn, and 7 braces at Leghorn be equal to 4 American yards; how many braces at Venice are equal to 64 American yards? Ans. 104 CASE II. When it is required to find how many of the last sort of coin, weight or measure, mentioned in the question, are equal to a given quantity of the first. RULE: Place the numbers alternately, beginning at the left hand, and let the last number stand on the right hand then multiply the first row for a divisor, and the second for a dividend. EXAMPLES. 1. If 24lb. at New-London make 201b. at Amsterdam, and 50lb. at Amsterdam 60lb. at Paris; how many a Paris are equal to 40 at New-London ? Left. Right. 2. If 50lb. at New-York make 45 at Amsterdam, and 80lb. at Amsterdam make 103 at Dantzic; how many lb, at Dantzic are equal to 240 at N. York? Ans. 278 3. If 20 braces at Leghorn be equal to 11 vares at Lisbon, and 40 vares at Lisbon to 80 braces at Lucca ; how many braces at Lucca are equal to 100 braces at Leghorn? Ans. 110 EXCHANGE. By this rule merchants know what sum of money ought to be received in one country, for any sum of different specie paid in another, according to the given course of exchange. To reduce the monies of foreign nations to that of the United States, you may consult the following TABLE: Showing the value of the monies of account, of foreign nations, estimated in Federal Money:* $ cts. Pound Sterling of Great-Britain, Pound Sterling of Ireland, Livre of France, Guilder or Florin of the U. Netherlands, 4 44 4 10 0 181 0 39 0 331 1 0 *Laws U. S, A Mark Banco of Hamburgh, Rix Dollar of Denmark, 4. In 452. 108. sterling, how many dollars and cents ? A pound sterling being-444 cents, Therefore-As 1l.: 444cts. :: 45,5l.: 20202cts. Ans. EXAMPLES. 1. In 907. 10s. 6d. Irish money, how many cents ? 1l. Irish-410cts. £. cts. £. Therefore-As 1: 410 :: 90,525: 371151=371, 151 Accounts are kept in livres, sols and deniers. EXAMPLES. 1. In 250 livres, 8 sols, how many dollars and cents ? 1 livre of France=18) cts. or 185 mills. £. m. £. m. S. cts. m. As 1: 185 250,4 : 46324-46, 32 4 Ans. : 2. Reduce 87 dols. 45 cts. 7 m, into livres of France. mills. liv. mills. liv. so. den. As 185 1: 87457: 472 14 9+ Ans. IV. OF THE U. NETHERLANDS. Accounts are kept here in guilders, stivers, groats and phennings. 8 phennings make 1 groat. 2 groats 20 stivers 1 stiver. 1 guilder, or florin. A guilder is 39 cents, or 390 mills, EXAMPLES. Reduce 124 guilders, 14 stivers, into federal money Guil. cts. Guil. $ d. c. m. 1 V. OF HAMBURGH, IN GERMANY. Accounts are kept in Hamburgh in marks, sous and deniers-lubs, and by some in rix dollars. { 12 deniers-lubs make 1 sous-lubs. 16 sous-lubs, 3 mark-lubs, 1 mark-lubs. 1 rix-dollar. NOTE.-A mark is = $33 cts. or just of a dollar. RULE. Divide the marks by 3, the quotient will be dollars. EXAMPLES. Reduce 641 marks, 8 sous, to federal money. 3)641,5 $213,833 Ans. But to reduce Federal Money into Marks, multiply the given sum by 3, &c. EXAMPLES. Reduce 121 dollars, 90 cts. into marks banco. 121,90 365,70 365 marks 11 sous, 2,4 den. Ans. VI. OF SPAIN. Accounts are kept in Spain in piastres, rials and marvadies. S34 marvadies of plate make 1 rial of plate. 8 rials of plate 1 piastre or piece of 8. To reduce rials of plate to Federal Money. Since a rial of plate is 10 cents, or 1 dime, you need only call the rials so many dimes, and it is done. = EXAMPLES. 485 rials=485 dimes,-48 dols. 50 ets. &c. |