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to the number of the same denomination in the given sum; divide this in the same manner, and so proceed till all are divided.

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Promiscuous Questions, for exercise, in the foregoing rules of Compound Addition, Subtraction, Multiplication and Division.

1. What is the value of 672 yards of linen at 2s. 5d. per yard? Ans. 811. 4s. 2. A goldsmith bought 11 ingots of silver, each of which weighed 4lb. 1oz. 15dwt. 22gr. how much do they all weigh? Ans. 45lb. 7oz. 15dwt. 2gr. 3. Bought 8 loads of hay, each weighing 1 ton 2 hundred 3 quarters 16 pounds; how much hay in all?

Ans. 9 ton 3 hun. 16lb.

4. Divide 9 ton 3 hundred 16lb. into 8 shares.

Ans. 1 ton 2 hun. 3qr. 16lb.

5. Bought 15 tracts of land, each containing 300 acres 2 roods and 20 perches; what is the amount of the whole? Ans. 4509 acres 1 qr. 20 rods. D

6. Divide a tract of land containing 4509 acres 1 rood and 20 perches equally among 15 persons; what is each one's share? Ans. 300 acres 2 roods 20 perches.

7. Bought 179 bushels of wheat for 201 dollars 37 cts. what is it per bushel? Ans. 1 doll. 12 cents. 8. If a man spends 7 pence per day, how much will it amount to in a year? Ans. 101. 12s. 11d. 9. What is the value of 1000 bushels of coal at 10 cents per bushel? Ans. 105 dolls. 10. Bought 135 gallons of brandy at 1 dollar and 624 cents per gallon, which was sold for 2 dollars and 5 cents per gallon; required the prime cost, what it was sold for, and the gain? Ans. prime cost 219 dolls. 371⁄2 cts. sold for 276 dolls. 75 cts. gain 57 dolls. 37 cts. 11. If 27 cwt. of sugar cost 471. 12s. 101d. what cost 1 cwt.? Ans. 11. 15s. 3 d. 12. Suppose a man has an estate of 9708 dollars, which he divides among his four sons: to the eldest he gives, and to the other three an equal share of the remainder; what is the share of each?

Ans. eldest son, 3883 dolls. 20 cents, other sons, each 1941 dollars 60 cents.

13. A dollar weighs 17dwt. 8gr. what will 45 dollars weigh at that rate? Ans. 39oz.

14. An eagle of American gold coin should weigh 11dwt. 6gr.—now 150 were found to weigh 84oz. 7dwt. 20gr. how much was this over or under the just weight? Ans. 8gr. over. 15. What cost 24 cwt. of sugar, at 13 cents 3 mills per pound? Ans. 37 dolls. 24 cts. 16. A merchant deposited in bank 35 twenty-dollar notes, 63 eagles, 284 dolls. 642 half dolls. 368 qr. dolls. 256 twelve and a half cent pieces; he afterwards gave a check to A for 560 dolls, and another to B for 820 dolls.; what sum has he still remaining in bank? Ans. 679 dolls.

17. A merchant bought a piece of broad cloth containing 36 yards, at 4 dolls. 66 cts. per yard; of this he found 4 yards were so damaged that he sold them at half price; 8 yards he sold at 5 dolls. 50 cents per yard: on the whole piece he gained 29 dolls. 56 cents; at what rate did he sell the remainder? Ans. 6 dollars per yard.

18. Five travellers, upon leaving a tavern in the morning, found they were charged 12 cents each for their beds, 4 times that sum for their supper and breakfast, 75 cents for

liquor among them all, 25 cents each for hay; the remainder of their bill, which amounted to 6 dollars, was for oats at 2 cents per quart; how many gallons of oats had they, and how much had each man to pay?

Ans. 8 gallons; each paid 120 cents. 19. A laborer engaged to work for 75 cents per day, working 8 hours each day, or 8 hours for a day's work; but being industrious he worked 12 hours 25 minutes each day for five days, and then 11 hours 30 minutes for 9 days more; what sum is he entitled to receive for his services?

Ans. 15 dollars 52 cents 3 mills+ 20. If 25 hhds. contain 1534 galls. 1 qt. and 1 pt. of brandy, each an equal quantity, how much is there in each hogshead? Ans. 61 galls. 1 qt. 1 pt. 21. If a man do 114 hours 45 minutes' work in 9 days, how long did he work each day? Ans. 12h. 45mi.

22. Divide 180 dollars among 3 persons A, B, and C; give B twice as much as A, and C three times as much as B.

A 20 dolls.

Ans. B 40
C 120

SECTION 6.

OF REDUCTION.

REDUCTION is the changing of numbers from one denomination to another, without altering their real value. Thus, 1 dollar, if reduced to cents, will be 100 cents, which in their real value are equal to 1 dollar: or, 3 feet reduced to yards, is one yard, which is still the same length as the 3 feet.

RULE.

If the reduction is from a higher to a lower denomination, multiply; but if from a lower to a higher denomination, divide by as many of the next less as make one of the greater; adding the parts of the same denomination to the product as it descends; and setting down the remainders as it ascends.

Reduction ascending, and descending, mutually prove each other.

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A TABLE of the Weight and Value of Coins as they pass in the respective States of the Union, with their Sterling, and Federal Value.

Names of Coins.

(GOLD.)

A half Johannes,

Standard

Weight.

Sterling

Money

of

Great Britain.

N. Hampshire, New York New Jersey,

Pennsylvania,

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and

North

Delaware, and

Carolina.

Maryland.

£. s. d.

£.

S. d.

E. d.

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2 0

5 16 0

5

12 6

310 0

1

2 80

2

5 0

18 0

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All other gold coins, of equal fineness, at 89 cents per dwt. and silver at 111 cents per oz.

A TABLE of other Foreign Coins, &c. with their value in Federal Money, as established by a late act of Congress.

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Cents are reduced to pence by subtracting one-tenth of their number. Pence are reduced to cents by adding oneninth of their number.

Pence are to cents as 9 is to 10, and to mills as 9 to 100. This only applies where the dollar passes at 7s. 6d. or 90 pence.

1. Reduce 100 cents to pence.

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3. Reduce 1257. 10s. 6d. to farthings.

125l. 10s. 6d.

20

2510 shillings

12

30126 pence

4

120506 farthings. Ans.

4. Reduce 120506 farthings to pounds.

Ans. 125l. 108. 64d.

5. Reduce 260 cents to pence.

Ans. 234d.

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