3. If 4 pounds of cheese cost 47 cents, what will 9 pounds cost? Ans. $1.05 cts.

4. What will 5 yards of muslin come to, at 12 cents per yard? Ans. 66 cts.

5. What will 96 yards of broadcloth come to, at 4.56 cts. per yard? Ans. 438 dolls. 6. Required the value of 96 acres, 1 rood, 12 perches, at 17 dolls. 40 cts. per acre. Ans. 1676.055 dollars. 7. What is the value of 12 bushels, 3 pecks, 7 quarts of wheat, at 99 cents per bushel.

Ans. 12 dolls. 90 cts. 4 mills, nearly. 8. What quantity of rice will $67.20 cts. buy, at 3 dollars Ans. 22 C. per C.? i qr. 15 lbs. 9. Bought 12 yards, 1 qr. 1 na. of cassinet, for 13 dollars, what was it per yard? Ans. $1.05 cts.+ 10. When a bankrupt compounds with his creditors, at 65 cents in the dollar, what does that creditor lose to whom he owes 1200 dollars ? Ans. 420 dollars.

1

11. What sum will pay for 16 pieces of cloth, each 19 yds. qr. at 5 dollars per yard? Ans. 1540 dollars. 12. If 1 C. 1 qr. 16 lbs. of iron, be worth 10 dollars, what is it per ton ? Ans. 141 dolls. 84 cts. 4 mills, nearly. 13. What will 16 C. 3 qrs. 4 lbs. of tobacco come to, at 14 cts. per pound? Ans. $235.06 cts.

14. If 4674 shingles cost 37 dollars, 39 cents, 2 mills, what price are they per thousand ?

Ans. 8 dolls. 15. What will 5943 cedar rails amount to, at 12 dollars per hundred ? Ans. $713.16 cts. 16. Required the price of 26 pounds, 10 ounces of loaf sugar, at 14 dolls. 46 cts. per C. P

Ans. 3 dollars, 85 cents, nearly. 17. If 11⁄2 lbs. butter cost 134 cents, what is the price of 54 pounds? Ans. 46 cts. 33 m. 18. What will 19 bags of coffee, each containing 41 lbs. come to, at 114 cents per pound? Ans. 88.70625 dollars. 19. Sold 5 yards of cambric, at the rate of two dollars for 3 yards, what is the amount? Ans. $3.50 cts. 20. How many rings, each weighing 4 dwts. 13 grains, may be made of 1 pound, 10 ounces, 14 pennyweights, 4 grains of gold? Ans. 100, nearly.

21 How many parcels, of 5 lb. 7 lb. 9 lb. and 10 lb., can I have out of 9 hogsheads of tobacco, each weighing neat 4 cwt. 1 qr. 9 pounds?

Ans. 126.

22. How many steps of 2 ft. 9 in. will a man take in walking 5 miles, 1 furlong, 26 poles, 2 yards, 2 feet, 3 inches ?

Ans. 9999.

23. If 4 C. 1 qr. of hay cost 3 dollars, what will 1 qr. 13 pounds cost? Ans. 26 cents, 8 mills.+ 24. If a footman perform a journey in 4 days, when the days are 12 hours long, how many days will it require of 16 hours long to perform the same journey? Ans. 3 days.

25. If a staff, 6 feet long, cast a shade (on level ground) 9 feet-What is the height of that steeple, whose shade at the same time measures 100 yards?

26. How long will it take 7 men to work, which 5 men can do in 21 days?

Ans. 200 feet. complete a piece of Ans. 15 days.

27. How much in length, that is 9 inches broad, will make

a square foot?

Ans. 16 inches.

28. If a pair of stockings cost 78 cents, how many dozen pair can I buy for 468 dollars?

Ans. 50.

29. If my horse stands me in 13 cents per day keeping, what will be the charge of 9 horses for 10 weeks? Ans. 85 dollars, 05 cts. 30. Borrowed of my friend, $49.50 cts. for 7 months, and he hath occasion, another time, to borrow of me for 11 months -How much must I lend him to requite his former kindness to me? Ans. $31.50 cts. 31. A merchant bought 37 pieces of stuff, which cost him $416.25 cts. at 75 cents per yard: I demand how many yards were in each piece. Ans. 15. 32. If 27 men can build a house in 100 days, how many days will it take 180 men?

Ans. 15.

33. If the carriage of 3 cwt. 1 qr. for 20 miles, be one dollar-How far may I have 4 T. 5 cwt. 1 qr. 9 lb. carried, for the same money? Ans. 1340 yards. 34. What is the half year's rent of 85 acres of land, at $1.25 cts. per acre, per annum ? Ans. $53.12 cts. 35. If a man spend 7 cents per day for spirituous liquors What will it amount to in 4 years? Ans. $102.27 ets. 36. A. has 6 acres of pasture, in which he has 5 head of cattle; B. has 3 acres adjoining, in which he has 4 head; C. has 7 head, but no pasture: he succeeds in striking a bargain with A. and B. to remove their line fence, and let all of their cattle go together-and agrees to pay them 8 dollars for

G

his share of the pasture. I desire to know how much of the money falls to each man's share.

As 16 : 7 :: pays 8 dollars.

6 A.-2.8125 A.

3 A.-2.25 A

3.1875 A. for which A. is to receive pay. .75 A. for which B. is to receive pay.

cts. m. 6.47.6+

A's share.

Ans.

A. A. dolls. As 3.9375: 3.1875 :: 8 : As 3.9375 .75 :: 8: 1.52.4 nearly, B's share. S 37. A gun being fired on one side of a river, an observer, directly opposite, counts 12 pulsations at his wrist between seeing the flash and hearing the report-What was the breadth of the river? Ans. 2 M. 24 p. 2 yds. 1.2 ft.

38. A gentleman hath an annual income of 1000 dollars; I desire to know how much he may spend daily, that at the end of the year he may lay up $250, and give to the poor monthly 25 dollars. Ans. 1 dol. 23 cts. 3 mills.

39. A draper bought 15 packages of cloth, each package containing 5 pieces, and each piece 31 yards; and paid at the rate of 1000 dollars for every 10 packages. I desire to know what the 15 packages stood him in. Ans. 1500 dolls. 40. What is the cost of 1 yard, 3 quarters, 3 nails of velvet, when a piece containing 15 yards, 1 quarter, 1 nail, cost 17 dollars, 20 cents? Ans. 2 dolls. 17 cts. 6 m.+

41. If it take 290 Italian mulberry trees to plant one acre, how many will it take to plant 8 acres, 2 roods, 17 perches; and what will be the cost, supposing the price to be 70 dolls. for a hundred dozen trees? Ans. 2496 trees; cost, $145.60 cts. 42. What will 13 ounces of silk cost, if 4 pounds cost 22 dollars? Ans. 4.46875 dollars. 43. Bought a pair of silver buckles, weighing 37 pennyweights, 12 grains, at 1 dol. 123 cts. per ounce-What did they cost? Ans. $2.109375 dolls.

44. If the report of a piece of ordnance be heard one minute and forty seconds after the flash was observed-the distance is required. Ans. 21 M. 1106 yds. 2 ft.

45. If 40 gallons of water, in one hour, fall into a cistern, containing 256 gallons; and, by a pipe in the cistern, 24 gallons run out in an hour-in what time will it be filled.

Ans. 16 hours.

46. A person failing in trade, owes 1976 dollars, and the inventory of his effects amounts to but 1079 dollars-How much will this produce per dollar to his creditors?

Ans. 54 cts. 6 mills. 47. If a man's annual income be $215.50 cts. and he expend 59 cents per day, what does he save at the end of four years? Ans. 1 cent. 48. A. can chop a cord of wood in two hours; B. in three hours, and C. in three hours and twenty minutes. I desire to know how long it will take them all to chop a cord?

Ans. 555 M. 49. If I buy 10 acres, 1 rood, 29 perches of land for four hundred dollars, and sell it again at 40 dollars

I gain or lose, and how much?

per acre-do Ans. $17.25 gain. 50. Sold 31 dozen, 4 pounds of candles, at the rate of 46 cents for 5 pounds: I desire to know how much they come to. Ans. 34 dolls. 59 cts. 2 mills. 51. If 1 lb. of coffee cost 15 cents, what will 4 pounds come to ? Ans. 43 cts. 2 m.+

THE DOUBLE RULE OF THREE,

Is so called, because it is composed of five given terms, to find a sixth-three of which are a supposition, and two a demand.

RULE.

Place that term which is of the same kind with the term sought, for the third term. Complete a statement in the Single Rule, as already taught, with this third term and each pair of similar terms: reduce the third term to its lowest denomination mentioned, and the similar terms to the lowest denomination mentioned in either. Multiply the two quantities in the first term together, and also the two quantities in the second term together. It is then reduced to the Single Rule

of Three. Multiply the second and third terms together, and divide by the first-the quotient will be the answer.

Proof-As in the Single Rule of Three.

Examples.

1. If 56 acres of grass be mowed by 8 men in 6 days, how many acres may 24 men mow in 38 days?

In this question, the term sought is acres; therefore, 56 acres must be the third term; and, as 24 men will mow more grass in 38 days than 8 men in 6 days, the 24 must be placed for the second term, and the 8 for the first.

2. If 24 pounds of bread be sufficient for 4 men, 24 days -How many pounds will suffice 16 men, 12 days?

Ans. 48 lbs.

3. If the carriage of 115 lb., 25 miles, be $1.50 cts.-how far can I have 1200 pounds carried for 25 dollars? Ans. 39 M. 1637 yds.

4. If 10 men can accomplish a piece of work in 30 days, working 12 hours per day, how long will it take 6 men, working 16 hours per day, to perform the same? Ans. 13 days. 5. If 16 dollars pay 8 men for 5 days' work, how much pay 32 men for 24 days' work? Ans. $307.20 cts. 6. If 100 dollars, in 12 months, gain 5 dollars interest, what principal will gain 12 dollars, 40 cents, in 7 months? Ans. 425.1428 dolls.

will