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3. If 1001. will gain 61. a year ; in wnat time 4001. gain 141. £: mo. £

100 : 12 : :
400 :
:: 14

Ans. The months 4. If 4001. gain 141. in 7 months; what is the rate cent. per annum ? £

Int. 400 : 7 :: 14 100 : 12

Ans. $6. 5. What Principal at 6l. per cent. per annum, will ga 141. in 7 months 1 £ mo. Int. 100 : 12 :: 6

Ans. £400 6. An usurer pit out 861. to receive interest for t sanie; and when it had continued 8 months, he receive principal and interest, 88l. 17s. 4d. ; 1 demand at wha rate per

ann. he received interest ? Ans. 5 perc 7. If 20 bushels of wheat are sufficient for a family 8

persons 5 months, how much will be sufficient for 4 per sons 12 months ?

Ans. 24 bushels. 8. If 30 men perform a piece of work in 20 days; ho many men will accomplish another piece of work 4 time as large in a fifth part of the time?

30 : 20:31
4:: 4

Ans, 600. 9. If the carriage of 5 cwt. 3 qrs. 150 miles, cost 2 dollars 58 cents; what must be paid for the carriage o 7 cut. 2grs. 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 highand 4 feet thick, in 12 days; in what time will 24 mos build one 200 feet long, 8 feet high, and 6 feet thick ?

8: 12 : : 20x6x4

cent. per

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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

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EXAMPILS.

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several antecedents have to their consequents, the pro. portion 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 Rult 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 que. tient will be the answer.

1. If 100 lb. English make 95 lb. Flemish, and 19 lb, Flemish 25 lb. at Bologna ; how many pounds English are equal to 50 lb. at Bologua?

16. 100 Eng=95 Flemish. 19 Fle. =25 Bologna ? 50 Bologna.

Then 95x25=2375 the divisor, 95000 dividend, and 2875)95000(40 Ans.

2. If 40 lb. at New-York make 43 lb. at Antwerp, and 30 lb. at Antwerp make 36 ib. at Leghorn; how many lb. at New-York are equal to 144 lh. at Leghorn ?

Ans. 10016. 3. It 70 braces at Venice be equal to 75 braces at Lega horn, and 7 braces at Lastorn 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.

lb.

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RULE. Place the numbers alternately, beginning at the hand, and let the last number stand on the right han then multiply the first row for a divisor, and the seco for a dividend.

EXAMPLES. 1. If 24 lb. at New-London make 20-lb. at Amsterdar and 50 lb. at Amsterdam 60 lb. at Paris; how

many Paris are equal to 40 at New-London?

Left. Right. 24

20 X 60 X 40 =48000 50 = 60

40 Ans. 24 x 50 = 1200 2. If 50 lb. at New-York make 45 at Amsterdam, an 80 lb. at Amsterdain make 103 at Dantzic; how many lb at Dantzic are equal to 240 at N. York ?

Ans. 278-10 3. If 20 braces at Leghorn be equal to 11 vares a Lisbon, and 40 vares at Lisbon to 80 braces at Lucca how

many braces at Lucca are equal to 100 braces a Leghorn

Ans. 110.

40

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 che given course of exchange.

To reduce the monies of foreign nations to that of the United States, you may consult the following

TABLE: Shewing the value of the monies of account, of foreign

nations, estimated in Federal Money.* $ cts. Pound Sterling of Great-Britain,

4 44 Pound Sterling of Ireland,

4 10 Livre of France,

O 18 Guilder or Florin of the U. Netherlands, 0 39 Mark Banco of Hamburgh, Rix Dolar of Denmark,

1 0

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* Laws U. S. A.

Rial Plate of Spain,
Mitrea of Portugal,
Tale of China,
Pagoda of India,
Rupee of Bengal,

I. OF GREAT BRITAIN.

0 10
1 24
1 48
1 94
0554

EXAMPLES.

£. cts.

8 cts.

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1. In 451, 10s. sterling, how many dollars and cents ?

A pound sterling being=444 cents, Therefore-As il. : 444cts. : : 45,51. : 20202cts. Ans.

2. In 500 dollars how many pounds sterling? As 444cts. : il. ; : 50000cts. i 112. 12s. 3d.+ Ans.

II. OF IRELAND.

EXAMPLES. 1. In 901. 10s. 6d. Irish

money,

how
many

cents
11. Irish3410cts.

cts. Therefore-As 1 : 410 : : 90,525 : 5711545371, 154

2. In 168 dols. 10 cts. how many pounds Irish ?
As 410cts. : il. : : 16810cts. : £41 Irish. Ans.

III. OF FRANCE
Accounts are kept in livres, sols and deniers.
$12 deniers, or pence, make 1 sol, or shilling,
20 sols, or shillings, 1 livre, or pound.

EXAMPLE6.
1. In 250 livres, 8 sols, how many dollars and cents ?
1 livre of France=184 cts.

or 185 mills. £. m.

m, $. cts, m. As 1 : 185 : : 250,4 : 46324=46, 32 4 Alls. 2. Reduce 87 dols. 45 cts. 7 in, 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 guiļders, stivers, groats and phennings. i

8 phennings make 1 groat.
2 groats

1 stiver.
20 stivers

1 guilder, or florin. A guilder is=39 cents, or 390 mills.

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Q 94

EXAMPLES,
Reduce 124 guilders, 14 stivers, into federal money,

Guil. cts. Guil. $ à. c. m.
As 1 : 39 : : 124,7 : 48,6 3 3 Ans.

mills. G. milis. G.
As 390 : 1 : : 45633 : 124,7 Proof

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,

1 mark-lubs.
S 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.

3

Reduce 641 marks, 8 sous, to federal money.

3) 641,5

$213,858 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

3

1

S65,70=365 marks 11 sous, 2,4 den. Ans,

VI. OF SPAIN.
Accounts are kept in Spain in piastresarials and marvadies,
$ 34 inarvadies of plate make i rial of plate.
8 rials of plate

1 piastre or piece of &
To reduce rials of plate to Tedera! 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 cto. Sic

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