3. If 1007. will gain 67. a year; in what time will 4007. mo. む gain 147. £. £. 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, 887. 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 persons 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? 9. If the carriage of 5 cwt. 3 qrs. 150 miles, cost 24 dollars 58 cents; what must be paid for the carriage of 7 cwt. 2 qrs. 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 wil! 24 men build one 200 feet long, 8 feet high, and 6 feet thick? 8: 12: 20×6×4 24 : 200x8x6 80 days, Ans CONJOINED PROPORTION, Is when the coins, weights or measures of severa coun tries are compared in the same question; or it is joining many proportions together, and by the relation which N* 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 can celling 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 column; then multiply the left hand column continually for a dividend, and the right hand for a divisor, and the quotient will be the answer. EXAMPLES. 1. If 100 lb. English make 95 lb. Flemish, and 19 lb. Flenish 25 lb. at Bologna; how many pounds English are equal to 50 lb. at Bologna ? 95000 dividend, and 2375)95000(40 Ans. 2. If 40 lb. at New-York make 48 lb. at Antwerp, and 30 lb. a. Antwerp make 36 lb. at Leghorn; how many lb. at New York are equal to 144 lb. at Leghorn? Ans. 100lb. 3. I 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 eoin, 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 24 lb. at New-London make 20 lb. at Amsterdam, and 50 lb. at Amsterdam 60 lb. at Paris; how many at Paris are equal to 40 at New-London ? 2. If 50 lb. at New-York make 45 at Amsterdam, and 80 lb. at Amsterdam make 103 at Dantzic; how many lb." at Dantzic are equal to 240 at N. York? Ans. 2787% 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 moneys of foreign nations to that of the United States, you may consult the following TABLE: Showing the value of the moi eys of account, of foreign nations, estimated in fueral money. * $cts. Pound Sterling of Great-Britain, Pound Sterling of Ireland, 4 44 4 10 Livre of France, Guilder or Florin of the U. Netherlands, Mark Banco of Hamburgh, Rix Dollar of Denmark, 1 0 *Lazos U. S. A. 1. In 457. 10s. sterling, how many dollars and cents? A pound sterling being=444 cents, Therefore-As 1l.: 444cts. : : 45,5l. : 20202cts. Ann. 2. In 500 dollars how many pounds sterling? As 444cts. 17.:: 50000cts.: 112l. 12s. 3d.+ Ans, II. OF IRELAND. EXAMPLES. 1. In 907. 10s. 6d. Irish money, how many cents? 17. Irish-410cts. £. cts. £. Therefore-As 1: 410 cts. $ cts. 90,525 371151=371, 151 2. In 168 dols. 10 cts. how many pounds Irish? As 410cts. : 17. : : 16810cts.: £41 Irish. Ans. III. OF FRANCE. Accounts are kept in livres, sols and deniers. EXAMPLES. 1 livre, or pound. 1. In 250 livres, 8 sols, how many dollars and cents 1 livre of France-181 cts. or 185 mills. £. m. £. m. $ 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. EXAMPLES. Reuce 124 guilders, 14 stivers into federal money. Guil. cts. As 1 : 39: : 124,7 : 48, 6 3 3 Ans. milis. G. mills. G. As 390 1 48633: 124,7 Proof. V. OF HAMBURGH, IN GERMANY. Accounts are kept in Hamburgh in marks, sous and eniers-lubs, and by some in rix dollars. 12 deniers-lubs make 1 sous-lubs. NOTE.--A mark is = 331 cts. or just of a dollar," RULE. Divide the marks by 3, the quotient will be the 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 giv en sum by 3, &c. EXAMPLES. Reduce 121 dollars, 90 cts. into marks banco. 121,90 3 365,7365 marks 11 sous, 2,4 den. Ans. VI. OF SPAIN. Accounts are kept in Spain in piastres, rials and marva, dies. 34 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 cts. &c. |