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3. What number is that, which being added to 19418, will make, 21802 ?

21802--19418 = 2384, Anf:

4. General Washington was born in 1732 ; What is his age in 1787

1787-1732 = 55 Ans.

5. America was discovered by Columbus in 1492, and its Independence declared in 1776 ; How many years have elapsed between those two Æras ?

1776-1492 = 284. Ans.

6. The Mafsacre at Boston, by the British Troons, happened, March 5th, 1770, and the Battle of Lexington, April 19th, 1775: How long between?

April 19th, 1775—March 5, 1770 = 5y. im. 14d. Ans.

7. General Burgoyne and his Army were captured October 17th, 1777, and Earl Cornwallis and his Army, October 19th, 1781 : What space of time between ?

October 19th, 1781–October 17th, 1777 = 4 years. and 2 days, Anf:

8. The war between America and England commenced April 19th, 1775, and a general peace took place January 20th, 1783 ; How long did the war continue ?

January 20th, 1783--April 19th, 1775 = 7y. 9m.

id. Anf.

9. A, B, C, and D, purchased a quantity of goods in, partnership ; A paid 4 12 1os. a dollar and a crown piece ; B

355. C 295. iod. and D 790. What did the goods coft?

Ang £16 145. vid.

10. A man borrowed, at different times, these several sums, viz. £29 55. £18 175. 6. £45 125. £98, 3 dollars, one crown piece and an half; Pray how much was he in debt?

Anf. £ 193 25. 6d.

II. There

49 11. There are 4 numbers ; the first 317, the second 912, the third 1229, and the fourth as much as the other three, abating 97 : What is the sum of them all ?

Anf. 4819. 12. Bought a quz.ntity of Goods for £125 10s. paid for truckage 455. for freight 795. 6d. for duties 35.10d. and my expenses were 535. gd : What did the Goods stand me in ?

Anf. £ 136 45. Id. 13. A Gentleman left his fon £1725 more than his daughter, whose fortune was 15 thousand

15

hundred and 15 pounds : What was the son's portion, and what did the whole eftate amount to?

Ans. The fon's fortune, £ 18240, and the whole estate £34755.

14. A Merchant had 6 debtors, who, together, owed him £4917 ios. 6. A, B, C, D and E, owed him £1675 135. od. of it : What was F's debt?

Anf. £1241 16s. gd. 15. What is the difference between £1309 75. Id. and the amount of £ 345 135. 4d. and £ 571 45. 8d.?

Ans. £ 392 gs. id. 16. A Merchant, at his first engaging in trade, owed £937 155. he had in cash £ 1755 35. 6d. in goods £459 125. 3d. in good debts £ 197 16s. and he cleared the first year £ 249 195. Iod. What was the neat balance at the year's end?

Anf. £ 1724 16s. 7d. 17. What sum of money must be divided between 12 Igen, so as that each may receive £155?

£155 X 12=4 1860 Anf. 18. What number must I multiply by 9, that the product may be 675 ?

675+9=75 Anf. 19. A Privateer of 175 men took a prize, which a. mounted to £59 per man, beside the owner's half: What was the value of the prize? 175 X 59 X 2=420650 Ant.

20. What

20.

21.

22.

What is the difference between thrice five, and thirty; and thrice thirty five ?

35 X 3-5X3+30=60, Ang. The sum of two numbers is 750 ; the less 248 : What is the difference, product, and the square of their difference ?*

750-248=502 the greater number, 502—248=254 difference, 502 X 248 = 124496 product, and 254 x 254 564516 square of the difference.

What is the difference between fix dozen dozen, and half a dozen dozen ; and what is their product, and the quotient of the greater by the less ?

Anf. 6 X 12 X 12-6X12=792 diff. 6X12 X 12 X 6X12=62208. product, and 6 X 12 X 12 6X12=12, Quotient.

23. There are two numbers ; the greater of them is 25 times 78, and their difference is 9 times 15; their sum and product are required.

Anf. 78 X 25=1950 the greater, 1950–15X9= 1815 the less. 1950+1815=3765 the fum, and 1950 X 1815=3539250 the product.

24. A Merchant began trade with £25327 ; for 6 years together, he cleared f*t 253 per annum ; the next 5 years, he cleared £ 1729 per annum ; but, the last 4 years, had the misfortune to lose £: 3019 per annum: What was he worth at the 15 years' end ?

Anf. £29414.

25. If a man spends £ 192 is a year : What is that per Calendar month ?

192--12=£16 Ang.

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A number is said to be squared, when it is multiplice into itself.

26. If the Federal Debt, which is 42 million dollars, be equally divided between the 13 States : What will be the share of each?

Anf. 3230769 15 dollars. 27. If 9000 men march in a column of 750 deep : How many march abreast ?

9000-750 = 12 Ans. 28. What number, deducted from the 32d part of 3072, will leave the 96th part of the fame?

3072-32-32 = 64 Anf. 29. What number is that, which, multiplied by 3589, will produce 92050672 ?

920506723589 = 256.48 Ans. 30. Suppose the quotient arising from the division of two numbers to be 5379, the divisor 37625; What is the dividend, if the remainder come out 9357 ?.

37625 X 5379+9357 = 202394232 Ang.

REDUCTION

Teaches to bring, or exchange, numbers of one denomination to others of different denominations, retaining the same value.

It is of two forts, viz. Descending and Ascending ; the former of which is performed by Multiplication, and the latter by Division.

ܪ

REDUCTION DESCENDING.

RULE.

Multiply the highest denomination, given, by so many of the next less, as make one of that greater, and thus continue till you have brought it down as low as your question requires.

Proof. Change the order of the question, and divide your last product by the last multiplier, and so on.

EXAMPLES.

E x A M P L E S.

d. gr.

1. In £ 27 155. 9d. 2qr. how many farthings?

£

27 15 9 Multiplied by 20 = Shillings in a pound.

2

555 = Shillings.
by 12 = Pence in a shilling.

6669 = Pence.
by 4= Farthings in a penny.

Anf. = 26678 Farthings.

Note. In multiplying by 20, I added in the 155.by 12, the 9d. and by 4, the 2 qrs, which must always be done in like cases. To

prove the above question, change the order of it, and it will stand thus : In 26678 farthings, how many pounds?

4)26678

12)6669 2 grs.

20)5515 od.

Anfwer, £27 15 9 2. 2. In £ 36 125. 10d, 1gr. how many farthings?

Anf: 35177 3. In £95 IIs. 5d. 3qrs, how many farthings ?

Anf: 91751. » 4. In 4719 gs. uid. how many half pence?

Anf. 345358. 5 In 29 guineas, at 28s. how many pence ?

Anf. 9744

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