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REDUCTION ASCENDING.

RULE.

Divide the lowest denomination given, by so many of that name as make one of the next higher, and so on through all the denominations, as far as your question requires.

PROOF. Multiply inversely by the several divisors.

EXAMPLES.

1. In 224765 farthings, how many pence, shillings and

pounds?
Farthings in a penný

4)224765

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210)46812 7d.

£234 2s. 7d. 1qr. Ans. 56191d. 4682s. 254l.

NOTE. The remainder is always of the same name as the dividend.

2. Bring 30529 farthings into pounds?

Ans. £31 11s. 10d. 1qr.

3. In 44447 farthings, how many pounds?

Ans. £46 5s. 11d. Sqrs.

4. In 59136 farthings, how many pence, shillings, and pounds? Ans. 14784d. 1232s. £61 12s. 5. In 20160 pence, how many shillings and pounds? Ans. 1680s. or £84.

6 In 900 farthings, how many pounds?

Ans. £0 18s. 9d.

7. Bring 74981 half-pence into pounds?

Ans. 156 4s. 24d.

8. In 245648 farthings, how many dollars at 6s. each?

Ans. $846.

9. Reduce 18776 pence to guineas, at 28s. per guinea.

Ans. 41

10. In 62304 farthings, how many pistoles, at 22s. Ans. 59.

tach ?

11. In 7104 three-pences, how many half-johannes, at

48s. ?

12. In 38720 farthings, how many French

68. 8d. ?

Ans. 37. crowns, at Ans. 121.

Reduction Ascending and Descending.
1. MONEY.

1. In 1217. Os. 94d. how many half-pence?

Ans. 58099

2. In 58099 half-pence, how many pounds? Ans. 1211. Os. 9jd.

3. Bring 23760 half-pence into pounds. Ans. £49 10s. 4. In 214l. 1s. 3d. how many shillings, six-pences, three pences, and farthings? Ans. 4281s. 8562 si.x

pences, 17125 three-pences, and 205500 farthings. 5. Ip 1377. how many pence, and English or French crowns at 6s. 8d. each ? Aus. 32880d. 411 crowns. 6. In 249 English half-crowns, how many pence and pounds? Ans. 9960d. and £41 10s. 7. In 346 guineas, at 21s. each, how many shillings, groats and pence? Ans. 7266s. 21798 gr'ts and 87192d. 8. In 48 guineas, at 28s. each, how many 44d. pieces? Ans. 3584

9. In 81 guineas, at 27s. 4d. each how many pounds ? Ans. £10 14s. 10. In 24896 pence, how many shillings, pounds and pistoles ? Ans. 2035s. £101 15s. and 92 pistoles.

9s. over,

11. In 252 moidores, at 36s each, how many guineas at 28s. each ? Aus. 324. 12. In 1680 Dutch guilders, at 2s. 4d. each, how many pistoles at 22s. cach? Ans. 178 pistoles, 4s. 13. Borrowed 1248 English crowns, at 6s. 8d. each, how many pistareens, at 144d. each will pay the debt? Ans. 6885 pistareens and 7' 14. In 50%. how many shillings, nine-pences, si ces, four-pences, aud pence, and of each an equal n 12d.+9d.+6d.+4d.+ 1d. =32d. and !

1

12000d32-575

EXAMPLES IN

REDUCTION OF FEDERAL MONEY.

1. Reduce 2745 dollars into cents. 2745 dollars

100

Ans. 274500

Here I multiply by 100, the cents in a dollar; but dollars are readily brought into cents by annexing two cyphers, and into mills by annexing three cyphers. Also,

any sum in Federal money may be written down as a whole number and expressed in its lowest denomination; for, when dollars and cents are joined together as a whole number, without a separatrix, they will shew how many cents the given sum contains; and when dollars, cents, and mills are so joined together, they will shew the whole number o mills in the given sum.-Hence, properly speaking, there is no reduction of this money; for cents are readily turned into dollars by cutting off the two right hand figures, and mills by pointing off three figures with a dot; the figures tɔ the left hand of the dot, ar? dollars; and the figures cut off are cents, or cents and milis.

Ans. 4878

2. In 345 dollars, how many cents and mills? Ans. 34500cts. 345000 mills. 3. Reduce 48 dols. 78 cts. into cents. 4. Reduce 25 dels. 8 cts, into cents. 5. Reduce 54 dols. 36 cts. 5m. into mills. 6. Reduce 9 dols. 9 cts. 9m. into mills.

7. Reduce 41925 cents into dollars. 8. Change 4896 cents into dollars. 9. Change 45009 cents into dollars. 10. Bring 4625 mills into dollars.

Ans. 2508 Ans 54365 Ars. 9099 $. cts.

Ans. 419 25

48 96

450 09

4 62 5

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2. In 246 oz. how many pwts. and grains ?

Ans. 4920pwt. 118080grs.

Ans. 8

S. Bring 46080 grs. into pounds. 4. In 97597 grains of gold how many pounds? Ans. 16lb. 10oz. 18pwt. 5grs. 5. In 15 ingots of gold, each weighing 9 oz. 5 pwt. how many grains? Ans. 66600

6. In 4 lb. 1 oz. 1 pwt. of silver, how many table spoons, weighing 25 pwt. each, and tea-spoons, 4 pwt. 6 grs. each, can be made, and an equal number of each sort &

25pwt.+4pwt. 6grs.654grs. the divsor; and 4lb lax. 1pwt.-23544grs. the dividend. Therefore 28544 +654-36 Answer.

S. AVOIRDUPOIS WEIGHT.

In 89 cwt. 3 qra. 14 lb. 12 oz. how many ounces?

4

9 quarters.

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161068 ounces. Answer.

2. In 19 lb. 14 oz. 11 dr. how many drams?

3. In 1 ton how many drams?

Ans. 5099. Ans. 573440.

4. In 24 tons, 17 cwt. 3 qrs. 17 lb. 5 oz. how many ounces?

5. Bring 5099 drams into pounds.

Ans. 892245.

Ans. 19lb. 14oz. 11dr.

6. Bring 573440 drams into tons.

7. Bring 892245 ounces into tons.

Ans. 1.

Ans. 24 tons, 17cwt. Sqrs. 17lb. 50s. 8. In 12 hhds. of sugar, each 11 cwt. 25lb. how many pounds ? Ans. 15084. 9. In 42 pigs of lead, each weighing 4cwt. 3qrs. how many fother, at 19cwt. 2qrs.? Ans. 10 fother, 4 cut.

10. A gentleman has 20hhds. of tobacco, each 8cwt. Sqrs. 141b. and wishes to put it into boxes containing Fotb. each, I demand the number of boxes he must get ? Ans. 284.

res,

4. APOTHECARIES' WEIGHT.

In 9ft 83 13 23 19grs. how many grains.
Ans. 55799.

yb In 55799 grains, how many pounds?

Ano. 9it 83 13 23 19gr.

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