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

48s. ? 12.

In 38720 farthings, how many French 69. 8d. ?

Ans. 37.

crowns, at Ans. 121.

Reduction Ascending and Descending.
1. MONEY.

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

Ans. 58099

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

S. 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 sixpences, 17125 three-pences, and 205500 farthings. 5. In 1377. how many pence, and English or French Crowns at 6s. 8d. each ? Ans. 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. £iio 14s. 10. In 24396 pence, how many shillings, pounds and pistoles ? Âns. 2035s. £101 15s. and 92 pistoles.

9s. over.

Ans. 324.

11. In 252 moidores, at 36s each, how many guineas at 28s. each? 12. In 1680 Dutch guilders, at 2s. 4d. each, how many pistoles at 22s. each ? Ans. 178 pistoles, 4s. 13. Borrowed 1248 English crowns, at 6s. 8d. each, how many pistarcens, at 144d. each will pay the debt? Ans. 6885 pistareens and 7d. 14. In 501. how many shillings, niue-pences, six-pences, four-pences, and pence, and of each an equal number? 12d.+9d.+6d.+4d.+1d. 32d, and £50 ==

12000d.÷32-375 Ans.

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 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.

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 dols. 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 Ans. 9099 8 cts.

Ans. 419 25 48 96

450 09

4 62 5

2. TROY WEIGHT.

1. How many grains in a silver tankard, that weighs

1 lb. 11 oz. 15 pwt. P

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

Ans. 4920pwt. 118080grs.

Ans. 8

3. Bring 46080 grs. into pounds. 4. In 97397 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 23 pwt. each, and tea-spoons, 4 pwt. 6 grs. each, can be made, and an equal number of each

sort ?

23pwt.+4pwt. 6grs.:=654grs. the divsor; and 4lb 1oz. 1pwt. 23544grs. the dividend. Therefore 23544 654-36 Answer.

S. AVOIRDUPOIS WEIGHT.

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

4

359 quarters.

[Carried up.

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. 3qrs. 17lb. 5oz. 8. In 12 hhds. of sugar, each 11 cwt. 25 lb. how many pounds?

Ans. 15084. 9. In 42 pigs of lead, each weighing 4cwt. Sqrs. how many fother, at 19cwt. 2qrs.? Ans. 10 fother, 4cut. 10. A gentleman has 20hhds. of tobacco, each 8 cwt. Sqrs. 14lb. and wishes to put it into boxes containg 70 Ib. each, I demand the number of boxes he must get? Ans. 284.

4. APOTHECARIES' WEIGHT.

1. In 9 83 13 29 19grs. how many grains,

2. In 55799 grains, how many pounds?

Ans. 55799.

Ans. 983 13 29 19gr.

5. CLOTH MEASURE.

1. In 95 yards, how many quarters and nails? Ans. 380grs. 1520na.

2. In 341 yards, 3qrs. 1na. how many nails?

3. In $783 nails, how many yards?

Ans. 5469.

Ans 236yds. 1qr. Sna.

4. In 61 Ells English, how many quarters and nails ?

Ans. 305grs. 1220na.

5. In 56 Ells Flemisn, how many quarters and nails?

Ans. 168qrs. 672na.

6. In 148 Ells English, how many Ells Elemish?

Ans. 246E. F. 2grs.

7. In 1920 nails, how many yards, Ells Flemish, and

Ells English ?

Ans. 120yds. 160E. F. ard 96E. E. 8. How many coats can be made out of 36 yards of broadcloth, allowing 14 yards to a coat ?

6. DRY MEASURE.

Ans. 21.

1. In 136 bushels, how many pecks, quarts and pints ? Ans. 544pks. 4352qts. 8704pts.

2. In 49 bush. Spks. 5qts. how many quarts?

S. In 8704 pints, how many bushels? 4. In 1597 quarts, how many bushels ?

Ans. 1597.

Ans. 136.

Ans. 49bus. 3pks. 5qts. 5. A man would ship 720 bushels of corn in barrels, which will hold s bushels, 3 pecks each, how many barrels must he get ?

7. WINE MEASURE.

Ans. 192.

1. In 9 tuns of wine, how many hogsheads, gallons and quarts?

Ans. 36hhds. 2268gal. 9072qts.

2. In 24 hhds. 18 gals. 2 qts. how many pints?

3. In 9072 quarts, how many tuns?

Ans. 12244.

Ans. 9.

4. In 1905 pints of wine, how many hogsheads?

Ans. Shkds. 49gals. 1pt.