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When the given quantity consists of several denominations, and the price relates to the highest of those denominations, work by

RULE 8.

Multiply the price by the numoer of the highest denomination in the given quantity, and the product will be the value thereof; to which add the value of the remaining deno ninations, found by taking parts of the price: or,

Find the value of the number of the highest denomination by one of the preceding rules, to which add the value of the remaining denominations, found as before.

EXAMPLES.

1. What is the value of 171 cwt. 1 qr. 7 lb. of sugar, at 3 L. 6 s. 8 d. per cwt.? Ans. 571 L. 0 s. 10 d.

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Note. When the given price of an article is in Federal money, the question may generally be answered by Multiplication, or by the Rule of Three, more readily than by Practice. It is useful, however, to be acquainted with the method of working by Practice, as it affords a means of proving the correctness of onerations performed by those other rules.

The examples that are given in this place are chiefly confined to cases in which the price is an aliquot

part of a dollar for working which the following is a

GENERAL RULE.

Set down the value of the given number, at a dollar, and take such part of that sum as the price is of a dollar, for the answer.

1. What is the value of 800 loaves of bread, at 64 cents each, and also at 12 cents each?

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2. 720 lb. of pork, at 64 cts. per lb.
3. 1446 lb. of beef, at 64 cts. per lb.
4. 680 lb. of sugar, at 10 cts. per lb.
5. 2128 lb. of cheese, at 10 cts. per lb.
6. 336 lb. of sugar, at 124 cts. per lb.
7. 1364 lb. of ham, at 124 cts. per lb.

8.

160 yds. of muslin, at 20 cts. per yd. 9. 1462 yds. of check, at 20 cts. per yd. 240 lb. of coffee, at 25 cts. per lb. 726 yds. of muslin, at 25 cts. per yd. 324 yds. of linen, at 50 cts. per yd.

10.

11.

12.

13.

Dols.cts. Ans. 45.00

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37.50

75 bush. of potatoes, at 50 cts. per bu. Note. When the given quantity consists of several denominations, proceed as directed in Rule 8.

14. 2 cwt. 3 qrs. 14 lb. at $7.00 per cwt.

Ans. $20.12

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15. 37 cwt. 2 qrs. 14 lb. at $20.10 per cwt.

16. 7 cwt. 0 qrs. 16 lb. at $6.20 per cwt.

Ans. $44.281.

Ans. $756.264.

17. 4 cwt. 1 qr. 16 lb. at $14.43 per cwt.

18. 47 lb. 10 oz. (Troy weight,) at

Ans. $63.38+ $1.25 per lb. Ans. $59.79+ Ans. $145.684+

19. 64 yds. 3 qrs. at $2.25 per yd.
20. 240 A. 1 R. 10 P. at $15.25 per acre.

Ans. $3664.76

APPLICATION.

1. What is the value of 120 lb. of rice, at 3d. per lb. Ans. 1 L. 10 s.

amount?

2. Bought 640 lb. of pork, at 4 d. per lb.; what is the Ans. 10 L. 13 s. 4 d. 3. How much will 3906 lb. of beef come to, at 7 d. lb.? Ans. 122 L. 1 s. 3 d. 4. What is the amount of 2004 lb. of sugar, at 10 d. per lb.? Ans. 87 L. 13 s. 6 d.

per

5. How much will 121 lb. of cheese come to, at 1 s. per lb.?

Ans. 6 L. 1 s.

6. What is the value of 1234 yards of muslin, at 1 s. 11 d. per yard? Ans. 122 L. 2 s. 31 d. 7. If one yard of linen cost 4 s., how much will 987 yards cost?

8. If 1 gallon of wine sell for gallons bring?

9. How much will 800 bushels at 13 s. 4 d. per bushel? 10. How much will 47 tons of 6 s. 8 d. per ton?

11. If 1 yard of cloth cost 1 L. will 1677 yards come to?

Ans. 197 L. 8 s. 11 s., what will 543

Ans. 298 L. 13 s. of wheat amount to, Ans. 533 L. 6 s. 8 d. hay amount to, at 6 L. Ans. 297 L. 13s. 4 d. 19s. 4d., how much

12. Sold 3906 lb. of sugar, at 12 is the amount?

Ans. 3298 L. 2s. cents per lb.; what Ans. 488 dols. 25 cts.

13. Bought 324 yards of calico, at 25 cents per yard; what is the amount?

Ans. 81 dols.

14. What will 16 cwt. 2qrs. 17 lb. of sugar amount to, Ans. 93 L. 2 s. 2 d.

at 5L. 11s. 10d. per cwt.?

15. Sold 83 yds. 2qrs. of superfine cloth, at 10 dols. 50 cts. per yard: how much does it amount to?

Ans. $876.75.

16. If 1 acre of land be worth 11 L. 15s., what is the Ans. 6800L. 6s. 3d.

value of 578 acres 3 roods?

TARE AND TRET.

Tare and Tret are allowances made by the seller to the buyer, on some particular commodities.

Tare is an allowance made for the weight of the barrel, box, bag, or whatever contains the commodity.

Tret is an allowance of 4 lb. in every 104 lb. for waste, dust, &c.

Gross weight is the weight of the goods, together with the barrel, box, bag, or whatever contains them.

Neat weight is the weight of the goods after all allowances are deducted.

CASE 1.

To find the neat weight when the tare is so much in the whole gross weight.

RULE

Subtract the tare from the gross weight, and the remainder will be the neat weight.

EXAMPLES.

1. The gross weight of a certain hogshead of sugar is 7 cwt. 3 qrs. 16 lb.; the tare is 3 qrs. 10 lb.; v hat is the neat weight? Ans. 7 cwt. O qrs. 6 lb 2. What is the neat weight of 12 hogsheads of sugar, the gross weight of each hhd. being 6 cwt. 2 qrs. 17 Ib.; the tare in the whole 8 cwt. 3 qrs. 14 lb.?

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Ans. 70 cwt. 3 qrs. 22 lb.

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3. The gross weight of a certain hogshead of sugar is 8 cwt. 3 qrs. 17 lb.; the tare is 3 qrs. 16 lb.; what is the neat weight? Ans. 8 cwt. 0 qrs. 1 lb. 4. What is the neat weight of 456 cwt. 1 qr. 19 lb. of tobacco, tare in the whole 15 cwt. 2 qrs. 13 lb. Ans. 440 cwt. 3 qrs. 6 lb.

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