Rule.-Set down the given price of one of the highest given denominations, and multiply it by the whole of the highest denomination, then take aliquot parts of the next lowest denomination continually, and add the products together for the answer.

Proof. By the single rule of three.

Questions.

What is practice?

Repeat the practice table, or table of aliquot parts. When the given price is a 4, a 1, or of a cent, or any number of mills, by what rule do you proceed, and what is to be noted if the given price is ?

When the given price is cents only, by what rule do you work?

Repeat the rule for performing the operation when the given price is dollars and cents.

By what rule do you work when the given quantity consists of divers denominations, cwt. qrs. and lbs., and the given price consists of dollars and cents? How do you prove practice?

Examples.

CASE 1.

1. What is the value of 48 yards of tape at a quarter of a cent a yard?

2. What is the value of 1654 yards at half of a cent a yard?

CASE 2.

1. What is the value of 54260 at 25 cents each ?

2554260

135,65 cts.

2. What is the value of 3648 at 64 cents?$ 228 00 0

3.

4.

742 at 10

8264 at 20

74 20 0 1652 80 0

1. What is the value of 5 cwt. 1 qr. 14 lbs. at 2 dollars

and 50 cents per cwt.?

2. What is the value of 10 cwt. 2 qr. 7 lb. at 10 dollars 25 cents per cwt.? Ans. 108dols. 26 cts. 3. What is the value of 7 cwt. 3qr. 19 lb. at 4 dollars 15 cents per cwt.? Ans. 32dols. 86cts.+ 4. What is the value of 129 cwt. 1qr. 10 lb. at 1 dollar 5 cents per cwt.? Ans. 135dols. 80cts. 5m. 5. What is the value of 16 cwt. 2 qr. at 5 dollars 18 cents per cwt.? Ans. 85dols. 47cts. 6. What is the value of 130 cwt. 1 qr. at 15 dollars per cwt.? Ans. 1953dols. 75cts. 7. What is the value of 25 cwt. 1qr. 9 lb. at 1 dollar 75 cents per cwt.? Ans. 44dols. 32cts. 8m.+ 8. What is the value of 2 qr. 14 lb. at 27 dollars 10 cents per cwt.? Ans. 16dols. 93 cts. oz. 10 dwt. 5 gr. at 4 Ans. 26 dols. 87cts.+ 10 oz. 4 dwt. 18 gr. Ans. 733dols. 92cts.+

9. What is the value of 6 lb. 5 dollars 16 cents per lb. ?

10. What is the value of 27 lhs. at 26 dollars 35 cents per lb. ?

6 dollars 13 cts per lb.?

11. What is the value of 9 lb. 11 oz. 17 dwt. 22 gr. at Ans. 61dols. 24cts.+ 12. What is the value of 816 oz. 13 dwt. 12 gr. at 121 cents per ounce ? Ans. 102dols. 08cts. 13. What is the value of 27 yards 3 qr. at 9 dollars 65 cents per yard? Ans. 267dols. 78cts. 7m. 14. What is the value of 860 yards 1 qr. at 84 cents per yard? Ans. 722dols. 61cts. 15. What is the value of 126 yards 2 qr. 2 nails at 4 dollars 75 cents per yard? Ans. 601dols. 46cts. 8m.+ gals. 3 qts. at 1 dollar 40 Ans. 600dols. 25cts.

16. What is the value of 428

cents per gallon?

17. What is the value of 765 gals. 3 qt. 1 pt. at 2 dollars 183 cents per gallon? Ans. 910dols. 72cts. 6m.

18. What is the value of 5 hhds. 31 gals. at 47 dollars

12 cents per hogshead?

19. What is the value of 17 dols. 75 cents per hogshead?

Ans. 259dols. 16cts. hlids. 15 gars 3 qts. at 64

Ans. 1116dols 93cts. 7m.

20. What is the value of 120 bu. 2 pecks at 35 cents per bushel? Ans. 42dols. 17cts. 5m. 21. What is the value of 780 bu. 3 pecks 2 qts. at 1 dollar 17 cents per bushel? Ans. 913dols. 55cts.+

22. What is the value of 1354 bu. 1 peck 5 qts. 1 pt. at 25 cents per bushel? Ans. 338dols. 60cls. 5m. 23. What is the value of 35 acres 2 roods 18 perches at 54 dollars 35 cents per acre? Ans. 1935dols. 53cts.+ 24. What is the value of 146 acres 3 roods 10 perches at 35 dollars 10 cents per acre? Ans. 5153dols. 11cts. 8m.+ 25. What is the value of 750 acres 1 rood 4 perches at 12 dollars 25 cents per acre? Ans. 9190dols. 86cts. 8m.+

Application.

1. What is the value of 84 cwt. 2 qr. 14 lb. of sugar at 10 dollars 50 cents per cwt.?

2. Bought 17 cwt. 1qr. 7 lb. what is the amount?

7

Ans. 888dols. 56cts. 2m. at 12 dollars 12 per cwt. Ans. 209dols. 91cts. 4m.

3. Sold 15 T. 10 cwt. 3 qr. of iron at 80 dollars 15 cents per T. what is the amount? Ans. 1245dols. 33cts.+ 4. Bought 170 pieces of tape, each piece containing 35 yards 2 qr. at a quarter of a cent per yard, what is the whole price of the tape? Ans. 15dols. 08cts.+ 5. A man bought 175 acres 3 roods 12 perches of land, for which he paid 52 dollars 15 cents per acre, what was the whole? Ans. 9169dols. 26ct.+ 6. What is the value of 1365 papers of pins at a half a cent per paper? Ans. 6dols. 82 cts. 7. How much will 784 gallons of brandy come to at 84 cents per gallon? Ans. 658dols. 56cts.

STERLING MONEY.

Case 1.-When the given price is farthings. Rule.-Divide by aliquot parts of a penny for the answer in pence, and reduce the pence to pounds.

Case 2.-When the given price is any number of pence less than twelve.

Rule.-Divide by the aliquot parts of a shilling for the answer in shillings, which reduce to pounds.

Case 3.-When the given price is pence, but exceeds the number of pence in a shilling.

Rule.-Set down the given quantity as so many shil

lings, and divide by the aliquot parts of as many pence as the given pence exceeds twelve; recollecting to add in the given quantity: the answer will then be shillings, which reduce to pounds..

Case 4. When the given price is shillings.

1

Rule. Divide by the aliquot parts of a pound for the answer in pounds.

Case 5.-When the given price is pounds, shillings, and pence.

Rule. Multiply the given quantity by the pounds, and divide by the aliquot parts of the shillings and pence.

Case 6. When the given quantity consists of divers denominations, and the given price of one of the highest denominations, as pounds shillings, and pence.

Rule. Set down the given price of one of the highest denominations, and multiply it by the whole of the highest denomination, and then divide the given price by the aliquot parts of each of the lower denominations.

Questions.

When the given price is farthings, by what rule do you work?

When the given price is any number of pence less than twelve, how do you proceed?

How do you proceed when the given price is pence, but exceeds the number of pence in a shilling?

Repeat the rule for performing the operation when the given price is shillings.

By what rule do you work when the given price is pounds, shillings, and pence?

Repeat the rule for performing the operation when the given quantity consists of divers denominations, and the given price is pounds, shillings and pence.