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9. If 100l. will gain 6l. a year ; in what time will 4001. gain 141. fo.
£ 100 : 12 :: 6 400 :
:: 14 Ans. 7 montlas. 4. If 4001. gain 141. in 7 months; what is the rate per cent. per annum?
Int. 400 ::: 14 100 : 12
ins. 6.6. 5. What Principal at 6l. per cent. per annum, wilĩ gain 141. in 7 months ? 5. то. Int.
100 : 12 : 6
Ans. £,400. 6. An usurer put out 861. to receive interest for the same; and when it had continuel 8 months, he received principal and interest, 881. 17s. 4d.; I demand at what rate per cent. per ann. he received interest ? Ans. 5 per ct.
7. If 20 bushels of wheat aré sufficient for a family of 8 persons 5 months, how much will be suflicient for 4 persons 12 months ?
Airs. 24 bushels. 8. If 30 men perform a piece of work in 20 days; how many men will accomplish another piece of work 4 tiines as large in a fifth part of the time?
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 7 cwt. 2 qrs. 25 lb. 64 miles at the same rate ?
Ans. $14, 08cis. 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 : : 20X6X4
CONJOINED PROPORTION, Is when the coins, weights or measures of several coun. tries are compared in the same question, or it is lening marry proportions neve, and by the relations “
und by twe repartit ich
several antecedents have to their consequents, the pro. portion between the first antecedent ang 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 quotient will be the answer.
1. If 100lb. English make 95lb. Flemish, and job. Flemish 25lb. at Bologna; how many pounds English are equal to 50lb. at Bologna ?
16. 100 Eng.=95 Flemish. 19 Fle. =25 Bolowna. 50 Bologna. Then 95x25=2375 the divisor.
95000 dividend, and 2375)95000(40 ns.
2. If 40lb. at New York, make 48lb. at Antwerp, and 30lb. at Antwerp, make solb. at Leghorn; how many Ib. at New-York are equal to 1441b. at Leghorn ?
Ans. 100lh. 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 Amc. rican yards :
CASE 11. When it is required to find how many of the last sort of coin, weight or measure, mentioned in the question arc 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.
1. If 241b. at New-London make 20lb. at Amsterdam, and 50lb. at Amsterdain 60lb..at Paris;, how many at Paris are equal to 40 at New-London? Left. Kight.
20 20 X 60 X 40 48000 50
- 10 Ins. 40 24 X 50
1200 2. If 50lb. at New-York inake 45 at Austerllam, and Bolb. at Amsterdam inake 103 at Dantzic; how many lo). at Dantzic are equal to 940 at N. York? Ins. 27810
3. If 20 braces at Leghorn be equal to 11 vares at Lisbon, and 40 vures at Lisbon to 80 braces at Lucca; how many braces at Lucca are equal to 100 braces at Leghorn
EXCHANGE. By this rule merchants know what sum of money ought to be received in one cou
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 monics of account, of foreign
nations, estimated in Federal Money.* Scts. Pound Sterling of Great-Britain,
4 44 Pound Sterling of Ireland,
4 10 Livre of France,
0.183 Guilder or Florin of the U. Netherlands, OSO Mark Banco of Hamburgh, Rix Vollar of Denmark,
Laws U. S. .1.
Rial Plate of Spain,
I. OF GREAT BRITAIN.
0 10 1 24 1 48 1 94 0 55
1. In 45l. 10s. sterling, how many dollars and cents ?
A pound sterling being=444 cents, Therefore As 11. : 444cts. : : 45,5l. : 20202cts. Ans.
2. In 500 dollars how many pounds sterling? As 444cts. : 11. :: 50000cts. : 1121. 12. 3d.-- Aris.
II. OF IRELAND.
EXAMPLES. 1. In 901. 10s. 6d. Irish inoney, how
cts. Scts. Therefore-As 1 : 410 : : 90,525 : 3711515371, 154
2. In 168 dols. 10 cts. how many pounds Irish ?
III. OF FRANCE.
1. In 250 livres, 8 sols, how many dollars and cents ?
1 livre of France=18 cts. or 185 mills. £. m. 4.
$. cts, alle 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 Sit Ans.
IV. OF THE U. NETHERLANDS. Accounts are kept here in guilders, stivers, groats and phennings.
8 phennings make 1 groat.
1 guilder, or florin A guider is=29 cents, or 390 mills.
Ncuuce 124 guildiers, 14 stivers, into federal money.
Guil. cts. Guil. S d. c. m.
mills. G. mills. G.
V. OF HAMBURGH, IN GERMANY Accounts are kept in Hamburgh in marks, sous anti deniers-lubs, and by some in rix dollars.
112 deniers-lubs make 1 sous-lubs.
1 mark-lubs. Stark-luns i rix-kollar, NOTE.- wark is
55. cts. or just of a dollar.
RULE. Divide the marks by S, the quotient will be dollars.
Reduce 641 marks, 8 sous, to federal money.
$213,855 Ans. But to reduce Federal Money into Marks, multiply the given yum by 3, &c.
Reduce 121 dollars, 90 cts. into marks banco, 121,90
365,70=365 marks 11 sous, 2,4 den. inf. /
VI. OF SPAIN.
S 34 marvadies of plate make I wal 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.