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46. Sold a cargo of fax seed in Ireland, for £1795 1os. Irish money ; what does that amount to in Massachusetts currency, £81 55. Irish being equal to £ 100 Massachusetts ?

Irish. Mal: Irisb. Mas As £814 : £100 :: £ 1795: £2209 16s. vid. Ans.

Or, As 13 : 17951 :: 16: £2209 16s. 11d. as before, because £ 13 Irish are equal to 4,16 Massachusetts.

47. My correspondent in Maryland purchased a cargo of flour for me, for £437 that currency ; how much Massachusetts money must I remit him, £125 Maryland being equal to £ 100 Massachusetts ?

As £125: £100 :: £437 : 349 12s. Ans. £

for S. S Because £5 Maryland are equal to Or, As 5 : 437 :: 4 : 349 12 ? £4 Massachusetts.

48. A bill of exchange was accepted at Newburyport for the payment of £ 345 10, for the like value delivered in Newyork, at £1331 Newyork currency for £, 100 Massachusetts ditto ; how much money was paid in Newyork, £75 Massachusetts being equal to £ 100 of Newycak ? £.Maj. £.Nr. £ Maf. £.Nr.

100 :: 345 10 : 460 13 4 Anf. 49. When the exchange from Massachusetts to Georgia is £83 Georgia per £100 Massachusetts, how much Massachusetts money must be paid in Boston to balance £457 Georgia currency?

£.Geor. £.Maf. £.Geor. £.Mal.
As 83} :

: : 457 : 548 8s. Anf. 50. A merchant delivered at Boston £320 Massachufetts currency, to receive £400 in Philadelphia ; what was the Massachusetts pound valued at ?

B. P. B. P.
As £ 320 : £400 :: 41: £i 5s. Answer.

ko. k. s. . Ş Because £80 Massachusetts are Or, As 80 : 100 :: 1:15 2 equal to £ 100 Pennsylvania.

As 75 :

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51. If I draw a bill of exchange for £ 537 1 os. 6d. Massachusetts, to be paid in Ireland, at 123, Maffachusetts, per £100 Irish ; for how much Irish money must I draw the bill ?

Mall Irish. Mal Irish.
As £1237'5: £100 :: 6537 1086 : £436 14891
£

£ £: Because £16 Masl. Or, as 16 : 537 1056 :: 13 : 436 14/93 ? are=£ 13 Irish.

52. Suppose a bill is drawn in Ireland, and payable in Boston, for £673 125. 6d. Irish ; how much Massachuseits money

comes it to, the exchange at £81% Irish per £100 Massachusetts ? £ f. £

.
As 811 : 100 :: 673 12/6 : 829 1/615

1/ The value of any quantity of silver in any of the currencies of the United States, may be found by the following Proportion.

As the number of grains, contained in £ 1 is to fi; fo are the grains, in any given quantity, to its value.

53. What is the value of its of filver in Massachufetts currency ; the pound (or 20 shillings) containing 13931 grains ?

As 13934:1:: 5760 : 4 2/8.

IN

RULE OF THREE DIRECT,

VULGAR FRACTIONS.

Rule.* Having made the necessary preparations, as directed in multiplication and division of vulgar fractions, ftate your question as in whole numbers, and invert the first term of the proportion ; then multiply the three terms continually together, and the product will be the answer.

1. If

* This Rule and the next, depend upon the same principle as the Rule of Three in whole numbers,

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1. If of a yard cost of a te what will of an ell English cost ?

5 X 4 XI
syd.=of 4 of = =ţell English.

8XIX5 E. Eng. £. E. Eng.

2 X 5X 9
As :::
And X{XP

I X 7 X 15

(= 175. 1 d. Ans. 2. If} yd. coft £3, what will 40 yds. come to ?

Ang. 5,59 15. 3d. 3. If 70 bushels of corn coft £12}; what is it, per bushel ?

Anf. 35. 7 d. 4. If of a ship coft £51 ; what are of her worth ?

Ans: £10 18s. 6 d. 5. At £3 per Cwt. what will git come to ?

Anf. 6s. 3d. 6. A person having of a vessel, sells of his share for £319 ; what is the whole vessel worth?

Ans. £ 598 25. 6d. 7. A merchant sold 5 pieces of cloth, each containing 12 yds. at gs. d. per yard ; what did the whole amount to?

Anf. £31 95. 10 d. 8. A buys of B £5601 bank stock, at £.857 per cent. what comes it to ?

Ans: 6480 75. 6;d. 9. A merchant makes insurance upon a vessel and cargo, valued at £3750 16s. at 156 guineas per cent. what does the premium amount to?

Anf. £813 18s. 5d. 10. A merchant in Holland draws a bill

upon respondent in Bofloon for 3750 Ducats at 8s. 4 d. how much Massachusetts currency must he receive ?

Anf. £ 1565 125. 6d. 11. A gentleman from Boston being in England, where the price of silver is to that of gold, as i to 15+', exchanged 15841b of silver for gold; on his return to Massachusetts, where the price of filver is to that of gold, as I to 1511 ; a friend, wanting his gold, gave him the value thereof in filver ; what weight of filver did he gain by the exchange?

As

his cor

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As 7 :

ib.Sil. G. ft Sil. ib.Gold. G. Sil. G. As 1511:*::1584 : 10; As 1:1511 :: 101: 16239.

(Anf. 4111. 12. A merchant bought a number of bales of velvet, each containing 12917 yards, at the rate of 7 dollars for 5 yards, and sold them out at the rate of eleven dollars for seven yards; and gained 200 dollars by the bargain ; how many bales were there? Yds. Dol. Yds. Del. Sold 5 yards for 74 Dollars. 11 :: 5 : 79

7

Dollars. In 5 yards gaid'd Dollar. D. Yds. D. rds. rds. B. rds. Bales. As:5:: 200 : 1166. As 12915 :* :: 11663:9 .

Although the method before laid down be universally applicable, yet there are other methods more ready and expeditious in some particular cases.

RULE 1.-If the first and third terms be fractions, and the second a whole number, reduce the first and third to one common denominator ; then, rejecting the denominators, make the numerator of the first, the first term, and the numerator of the third, the third term, and works as in whole numbers.

If {yard coft gs. what cost t'i yard at that rate ? ś=1&z=14. Now, As 15 : 95. : :14: 85. 4 d. A.

RULE 2.-If, of the first and third terms, one be 1, and the other a fraction ; put the denominator of the fraction instead of 1, and the numerator in the place of the fraction, and work as in whole numbers, as before.

If i acre of land cost £12 ; what will of an acre coft, at that rate ?

Den. £ Num. fo. s.
As 8 :

12 :: 5 : 7 10 Ans. RULE 3.-If the second term be a fraction likewise, (that is, if all the terms be fractions ;) having reduced the first and third to one common denominator, multiply the numerator of the first term by the denominator of the second, for a divisor ;-and the numerator or the third by

the

the numerator of the second, for a dividend ; divide the lait product by the first, and the quotient will be the answer.

If 4 yard of cloth coit . what cost yard ? = , which reduces it to a common denominator, then,

As 4 : { :: 3
4

3

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5 PROBLEM 1. To find the value of Gold in Mafachie fetts currency. 0%. £. 0%. £. pwt. so gr.

d. THEOREM 1. As 1:51: : 12 : 64 :: 1:51:: 1:21 (Cafe 1.)=2; (Cafe 2.)=5+ (Cafe 3.)= therefore,

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RULE 1.-If the given quantity be in grains ; multiply them by 2, and the product is pence. 1. What is the value of 18 grains of gold?

18X2=48d.=45. RULE 2.-If the given quantity consists of ounces, pennyweights and grains, halve the grains, and then proceed as in multiplication of pounds, shillings and pence, making the numerator in case 2, the multiplier. 1. What is the value of 70%. Spwt. 16gr, of gold ?

gr. gr. oz. pwt. gr.
16-2 = 8, then

7
8 8

51

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£39 12 1o Ans. RULE 3.--If the given quantity confifts of pounds only; multiply by 64, and the product will be the answer ; but

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