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3. In 461. 6s. 11d. 3qrs. how many farthings?

Ans. 44441. 4. In 611. 12s. how many shillings, pence, and farthings ?

Ans. 1232s. 14784d. 59136qrs. 5. In 841. how many shillings and pence?

Ans. 1680s. 20160d 6. In 18s. 9d. how many pence and farthings?

Ans. 225d. 900qrs. 7. In 3121. 8s. 5d. how many half-pence? Ans. 149962. 8. In 846 dollars, at 6s. each, how many farthings?

Ans. 243648. 9. In 41 guineas, at 28s. each, how many pence?

Ans. 13776. 10. In 59 pistoles, at 22s. how many shillings, pence and farthings? Ans. 1298s. 15576d. 62304 qrs.

11. In 37 half-johannes, at 48s. how many shillings, six pences, and three-pences?

Ans. 1776s. 3552 sir-pences, 7104 three-pences. 12. In 121 French crowns, at 6s. 8d. each, how mary pence and farthings ?

Ans. 9680d. 38720qrs. REDUCTION ASCENDING. RULE.—Divide the lowest denomination given, by so many of thiw name as make one of the next higher, and so on through all the de nominations, 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 penny=4)224765
Pence in a shilling =12)56191 I gr.
Shillings in a pound 2|0)468|2 7d.

£234 2s. 7d. Iqr.

Ans. 56191d. 4682s. 2341. NOTE. The remainder is always of the same name as the dividend. 2. Bring 30329 farthings into pounds.

Aus. £31 lls. 10d. lom.

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3. In 44447 farthings, how many pounds ?

Ans. £46 5s. 11d. 391 4. In 59136 farthings, how many pence, shillings, Jounds ?

Ans. 14784d. 1232s. £61 1: 5. In 20160 pence, how many shillings and pounds

Ans. 1680s. or £€ 6. In 900 farthings, how many pounds ?

Ans. £0 18s. 7. Bring 74931 half-pence into pounds. Ans.£156 4s. 8. In 243648 farthings, how many dollars at 6s. ea

Ans. $84 9. Reduce 13776 pence to guincas, at 28s. per gui

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

Ans. 11. In 7104 three-pences, how many half-johann 48s. ?

Ans. 12. In 38720 farthings, how many French crow 6s. 8d. ?

Ans.

uy farthings! Ans. 243648.

iny pence ?

Ans. 13776.

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Reduction Ascending and Descending.

1. MONEY.
1. In 1211. Os. 9 d. how many half-pence? Ans. 580
2. In 58099 half-pence,

how
many pounds ?

Ans. 1211. Os. 3. Bring 23760 half-pence into pounds. Ans. £49

4. In 2141. ls. 3d. how many shillings, six-pences, pences, and farthings?

Ans. 42818. 8562 six-pe:

17125 three-pences, and 205500 far 5. In 1371. how many pence, and English or crowns, at 6s. 8d. each?

Ans. 32880d. 411 cre 6. In 249 English half-crowns, how many pen pounds?

Ans. 9960d. and £41 7. In 346 guineas, at 21s. each, how many sł groats, and pence? Ans. 7266s. 21798 grits. and 871 8. In 48 guineas, at 288. each, how many 4;d. I

Ans. 9. In 81 guineas, at 27s. 4d. each, how many po

Ans. £110

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10. In 24396 pence, how many shillings, pounds, ani pistoles ? Ans. 2033s. £101 13s. and 92 pistoles. 9s. over.

11. In 252 moidores, at 36s. each, how many guineas at 28s. each?

Ans. 324. 12. In 1680 Dutch guilders, at 2s. 4d. each, how many pistotes at 22s. each?

Ans. 178 pistoles, 4s. 13. Borrowed 1248 English crowns, at 6s. 8d. each, how many pistareens, at 14 d. each, will pay the debt ?

Ans. 6885 pistareens, and 7d. 14. In 501. how many shillings, nine-pences, six-pences, four-pences, and pence, and of each, an equal number? 12d. +90.+6d. +4d.+ld.=32d. and £500

12000d. -32=375 Ans.

Examples in Reduction of Federal Money. 1. Reduce 2745 dollars into cents. 2745 dollars Here I multiply by 100, the cents in 100 a dollar; but dollars are readily brought

into cents by annexing two ciphers, Ans, 274500 and into mills by annexing three ci

phers. 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 show how many cents the given sum contains; and when dollars, cents, and mills, are so joined together, .they will show the whole number of 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 to the left hand of the dot, are dollars; and the figures cut off are cents, or cents and mills. 2. In 345 dollars, how many cents, and mills ?

Ans. 34500 cts. 345000 mills. 3. Reduce 48 dols. 78 cts. into cents. Ans. 4878 4. Reduce 25 dols. 8 cts. into cents. Ans. 2508 5. Reduce 54 dols. 36 cts. 5 m. into mills. Ans. 54365 6. Reduce 9 dols. 9 cts. 9 m. into mills. Ans. 9099

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d. ences

2. TROY WEIGHT.
1. How many grains in a silver tankard, that wei
I lb. 11 oz. 15 pwt.

16. Oz. prot.
1 11 15
12 ounces in a pound.

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23 ounces.

20 pennyweights in one ounce 475 pennyweights.

24 grains in one pennyweight.
1900

950
Proof. 24)11400 grains. Ans.

2,0)47,5
12)23 15 pwt.

1 lb. 11 oz. 15 pwt."
In 246 oz. how many pwts. and grains ?

Ans. 4920 prt. 118080 g 8. Bring 46080 grs. into pounds.

Ans. 4. In 97397 grains of gold, how many pounds ?

Ans. 16 lb. 10 oz. 18 pwt. 5g 3. In 15 ingots of gold, each weighing 9 oz. 5 pwt. I any grains ?

Ans. 6660 o. In 4 lb. 1 oz. 1 pwt. of silver, how

many table-sp weighing 23 pwt. each, and tea-spoons, 4 pwt. 6 grs. can be made, and an equal number of each sort?

23 prot. +4pwt. 6grs.=654grs. the divisor; and 416. 1 pwt.=23542grs. the dividend. Therefore 23544-6 36 Answer.

und of ats, or

Ils. 78 108 165 199

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3. AVOIRDUPOIS WEIGHT. In 89 cwt. 3 qrs. 14 lb. 12 oz. how many ounces ? 4

Proof. 28

16)161068

359 quarters

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161068 ounces. Answer.

jad 2. In 19 lb. 14 oz. 11 dr. how many drams? Ans. 5099. 3. In 1 tun, how many drams?

Ans. 573440. 4. In 24 tuns, 17 cwt. 3 qrs. 17 lbs. 5 oz. how man!

11 ounces ?

Ans. 892245. 5. Bring 5099 drams into pounds. Ans. 19 16. 14oz. 11 dr.

!1 6. Bring 573440 drams into tuns.

Ans. 1.

II 7. Bring 892245 ounces into tuns.

Ans. 24 tuns, 17 cwt. 3 qrs. 17 16. 50%. 8. In 12 hhds. of sugar, each 11 cwt. 25 lb. how many pounds ?

Ans. 15084. 9. In 42 pigs of lead, each weighing 4 cwt. 3 qrs. how many fother, at 19 cwt. 2 qrs. ? Ans. 10 fother, 41 cwt.

10. A gentleman has 20 hhds. of tobacco, each 8 cwt. 3 qrs.

14 lb. and wishes to put it into boxes containing 70 lb. each, I demand the number of boxes he must get?

Ans. 284.

4. APOTHECARIES' WEIGHT, 1. In 9£ 83 13 23 19 grs. how many grains?

Ans. 55799. 2. In 55799 grains, how many pounds ?

Ans. 91 83 13 29 19 gr.

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