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L. 8.

L.

8.

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d.

d. 2. Divide 113 13 4 by 31 Quotient 3 13 4 S.

189 14
O by 95

1 19 11+ 4.

38 17
5} by 47

16 64
5.
132 0 8 by 68

1 18 10 6, 3236 12 41 by 654

4 18 11. APPLICATION. 1. Sold 3 yards of muslin for 31.. 9s. 6d. what was the price per yard ?

Ans. IL. 3s. 2d. 2. Paid 17s. 6d. for 4 bushels of salt : how much was it per bushel ?

Ans. 45. 4 d. 3. If $ pounds of sugar be sold for 10s. 6d. what is the price per pound?

Ans. Is. 30. 4. Bought 8 yards of linen for. 3L. Ils. 8d. what was the price per yard?

Ans. 8s. 17 d. 5. Sold 32 yards of cloth for 221 L. 185. 6d. How much was it per yard ?

Ans. 1 L. 13s. 7 d. 6. What is the price of a bushel of wheat, when 42 bushels are sold for 17 I.. 13s. 6d. ?

Ans. 8s. 5d.

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PROMISCUOUS QUESTIONS. 1. Bought two pieces of linen, one of which contained 30 yards, and the other 25 yards; the price was 7s. 6d. per yard: what was the cost of the two pieces ?

Ans. 20L. 12s. 6d. 2. Sold one piece of cloth, containing 41 yards, at 2L. 185. per yard ; and another piece containing 36 yards, at 2 L. 6s. 6d. per yard: what is the amount of the whole?

Ans. 202 L. 12s. 3. What is the amount of the following bill ?

Philadelphia, James Johnson,

Bought of Samuel Williams, 7 yards of coating at 17s. 6d. a yard 18 yards of broad cloth, at 45

9 yards ditto at 48 9 23 yards of cassimere

at 18 41 37 yards ditto at 21 6 107 yards drugget at 9 6

Ans. L180 5 104

4. A person has 500L. 18s.'9d. He owes to one man 25L. 10s. to another 76L. 185. 9d. to another 175 L. 10s. and to another 100L. What sum will he have left after paying these debts ?

Ans. 123L. 5. A grocer has 10 bags of coffee, weighing each 120 pounds, and 2 bags, weighing each 160 pounds. If he sell 560 pounds, what quantity will remain ? Ans. 960 lb.

6. Bought 4 pieces of linen, containing 25 yards, 3 quarters, each, and 3 pięces containing 32 yards, 2 quarters, each; from which was afterwards sold 125 yards : what number of yards was then remaining ?--

Ans. 75 yds. 2 qrs

2 7. A farmer has three tracts of land, the first contains 125 acres, 3 roods; the second, 200 acres, 2 roods, 18 perches; the third 175 acres, 10 perches. He intends dividing this land equally between his two sons': what will be the share of each son?

Ans. 250 Ą. 2 R. 34 P. A person, at his decease, left property to the amount of 2425 L. 19s. His will directed that 200 pounds should be given to the poor, and that the remainder should be divided, equally, between his 3 daughters. What is the portion of each daughter?

Ans. 741 L. 198. 8d,

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Rupee of Bengal,
Ruble of Russia,
Tale of China,
Pagoda of India,
Pound of Ireland,
Pound Sterling,

0, 660
Mill-ree of Portugal, 1, 240|Livre Tournois of

1, 480
4, 100
D. c. m.
0, 555 | Real Plate of Spain, 0, 100

France,
Money, as established by a late Act of Congress.

burg,

1, 94 0 | Mark Banco of HamA TABLE of other Foreign coins, &c. with their value in Federal

4, 44' 4 The Guilder of the
United Netherlands, 0, 390

. 0. 18 5

0, 33 5 D. C. m.

67

COMPOUND REDUCTION.' Conipound Reduction teaches to change any sum or quantity which consists of several denominations, to a given denomination ; and to change a sum of one kind of money to a given denomination of another kind.

When a sum or quantity, consisting oi several denominations, is to be changed to a given denomination, work by the following

RULE. Reduce the highest denomination to the next lower one, and this again to the next lower, and so on ; observing to add to the amount of each denomination the number there is of that denomination in the given sum or quantity.

EXAMPLES

*

8.

L.

MONEY. 1. Reduce 25L. 108. 6 d. to farthings. L. d.

Or thus,* 25 10 61

8,

d. 20

25 10 6

20 500

510

4)24507

12
510

12)6126+3
12
6126

210)51|0+6
6120
6

24507

Proof L 25 10 63

10

6:26

24504

3

24507 farthings.

/* The former of these two operations is given, merely to render the application of the rule more intelligible; the method of adding in the denominations of the sum, as in the latter operation, should be explained to the scholar.

G

2. Reduce 36L. 155. to shillings.

Facit 7355. 3. Reduce 32 L. 125. 4d. to pence. Résult 7828d. 4. Bring 102 L. 195. 74d. to farthings. Result 9886lqrs. 5. Bring 21 L. 10s. 64d. to farthings. Result 20666qrs. 6. Reduce 137 L. 155. 6 d. to farthings.

Result 132267qrs. 7. Bring 45 L. 3s. 1 d. to halfpence.

Result 21675 halfpence. 8. Bring 10 L. 10s. to halfpence, Result 5040 halfp. 9. Bring 5L. 6s. to farthings. Result 5088qrs. 10. Bring 2 L. Os. 6 d. to farthings.

Facit 1945qrs. 11. Bring 6s. 64d. to farthings.

Facit 313qrs. Note 1.-A sum of Federal Money, which consists of dollars and cents, is reduced to cents, by simply removing the separating point, instead of multiplying the dollars by 100, and adding the cents to the product. 12. Reduce $25.50 to cents.

Facit 2550 cts. 13. Bring 8456.05 to cents.

Result 45605 cts. 14. Bring 8967.10 to cents.

Result 96710 cts. Note 2.-To reduce a sum which consists of dollars and cents, to fourths, thirds, or "halves of a cent, &c. reduce it first to cents as in the foregoing examples, then reduce thosc cents to fourths, thirds, or halves, &c. as under rule 1, note 2, Simple Reduction. 15. Reduce $ 5.25 to fourths or quarters of a cent.

Facit 2100 fourths. 16. Bring $ 10.18.1 to fourths of a cent.

Result 4075 fourths, 17. Bring $95.12 to fourths of a cent.

Result 38050 fourths. 18. Reduce $17.33} to thirds of a cent.

Result 5200 thirds. 19. Reduce $ 56.66 to thirds of a cent.

Result 17000 thirds. 20. Bring 6 420.10 to half cents. Facit 84020 halves. 21. Bring @ 375.121 to half cents. Result 75025 halves.

Note 3.-To reduce pence, Pennsylvania currency* to cents, annex a cypher to their number, and divide by 9.

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* The same rule that applies to Pennsylvania currency, applies also to the currencies of New Jersey, Delaware, and Maryland.

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