6. A fort, which had been provisioned for 9 months, was besieged, and on taking account of the state of the troops and provisions, on a certain day, the general found that of the men had been killed, and the provisions were expended how much longer would the provisions last? The provisions left = months for the whole garrison. And the provisions divided among them would be 5-7 months. 7. If 4 yards of cloth cost $12.80, what will 96 yards cost? 8. How many yards of cloth may be bought for $307.20, when 4 yards cost $12.80? 9. If 38 yards of silk cost $51.50, how much will 435.5 yards come to? 10. At $6.5 per 100 lbs., what is 2728 lbs. worth? 11. If 2728 lbs. of beef cost $177.32, what will 200 lbs. cost? 12. If 6 cents buy 1 pound of sugar, how many pounds can be purchased with $76? 13. Bought 27 yards, at $.355 per yard, what sum must I pay? 14. If 365 men consume 150 barrels of beef in 9 months, how much will 1000 men consume in the same time? 15. If 11 yards of silk cost $1.08, what is the value of 161 yards? 16. A person having of a ship, sells of his share for $1531.2, what is the whole ship worth? 17. If 7 of a vessel cost $3489, what is the whole worth? 18. If 2 cwt. of cheese cost $30, what will 15 cwt. cost? 19. If 8 men can do a piece of work in 16 days, in what time will 12 men do it? 20. How much in length, that is 8 perches in breadth, must be taken to contain an acre? 21. How much in length, that is 4 inches broad, will make a square foot? 22. How many yards of carpeting, 2 feet broad, will cover a floor 27 feet long and 20 broad? 23. How many yards of cloth, 3qrs. wide, are equal in measure to 30 yards, 5qrs. wide? 24. How many yards of paper, 1.25 yards wide, will paper a room 20 yards in circumference and 4 in height? 25. If of a yard cost of a dollar, what will of a yard cost? 1 26. What part of 39 is 71? 27. If 3 men do a piece of work in 4 hours, in how many hours shall 10 men do the same work? 28. If 2 yards cost $2.16, what is 1 yard worth? 29. If of of a yard of cloth is worth 84 cents, what is 1 yard worth? 30. If 1lb. of spice cost of a dollar, what will of an ounce cost? 31. Bought 9 pieces of cloth, each containing 442 yards, at $7 per yard: what do they come to? 32. How much sugar, at $4 per cwt., can I buy for $3.16? 33. If 97b. of lead cost 11.5 cents, what will 3 fothers, each 19.5cwt. come to? 34. If 2.625 tons cost $36.75, what is the value of 1.57b.? 35. If 5 men earn $38.525 in 1 week, what will 18 mer earn in the same time? 36. If 6 men reap 18 acres of wheat in 5 days, how many acres will 10 men reap in 12 days? 37. If 8 persons spend $100 in 4 months, how much will 20 persons spend in 6 months? 38. If the carriage of 5cwt. for 48 miles be 7s. 6d., what will be the carriage of 15cwt. for 24 miles? 39. If $144 be the wages of 36 men for 9 days, what will be earned by 12 men in 90 days. 40. If a person travel 240 miles in 7 days, when the days are 14 hours long, in how many days of 7 hours each wil he travel 120 miles? 41. If 14 men can dig 360 cubical yards of earth in 5 days, how many men can dig 144 cubical yards in 7 days? 42. If 75 men can throw up an entrenchment in 5 days, when the days are 12 hours long, in what time will 50 men do it when the days are 18 hours long? 43. If a barrel of ale will last a family of 6 persons 2 months, how many persons would drink 9 barrels in a year? 44. Suppose 84 gallons of brandy will serve 220 seamen 8 days, how much will 380 seamen drink in 12 days? 45. If $150 in 12 months gain 6 dollars, what will be the interest of $700 for 7 years? 46. If 7 horses eat 25 bushels of oats in 10 days, how many horses will consume 100 bushels in 14 days? 47. Lent a friend $800 for 9 months, at 5 per cent., how long ought he to lend me $1250 at 4 per cent. to requite my kindness? 48. If 6 horses plough 10 acres of land in 5 days, how many horses will plough 16 acres in 12 days? 49. How many bushels of wheat will serve 54 persons 14 days, when 3 bushels will serve 6 persons 21 days? 50. If 756 bricks, 14 inches long and 10 broad, will pave a floor, how many bricks would it take, 15 inches long and 2 inches broad? 51. If 14 rods of wall, 2 feet deep, can be built by a certain number of men in 25 days, how long will the same number of men be in building 34 rods of wall 3 feet deep? 52. If 2 yards of cloth 13 yards wide, cost $33, what is the value of 38 yards, 2 yards wide? 53. How many men will reap 417.6 acres in 12 days, if 5 men reap 52.2 acres in 6 days? PRACTICE. § 106. Practice, so called from its general use among merchants and tradesmen, is a short method of ascertaining the value of any quantity of goods or other commodities. All questions in this rule might be worked by multiplication or the rule of three; but they are here more readily performed by taking aliquot parts. Aliquot means a part which will divide without a remainder; thus, 25 cents is an aliquot part of a dollar. TABLE OF ALIQUOT PARTS. Of a dollar. Of a shilling. Of a pound. 32 Of a cwt. 2qr. 1 = 0 167b. Of a ton. Cts. 10cwt. = 12 Of a penny. 1 8 80%. = 12 1 4 Of a qr. 15 2 16 8 6m. = 15d. 20 3 2 6 2R. = 2qr. = 7432 § 107. CASE 1. When the price is less than a penny. RULE. Divide the given number by the aliquot parts of a penny, and then by 12 and 20 for the answer. § 108. CASE 2. When the price is cents and parts of a cent. RULE. Multiply the quantity by the cents, and take parts for the parts of a cent. § 109. CASE 3. When the price is less than a shilling. RULE. Divide the given number by the aliquot part or parts of a shilling, add them together, and divide by 20 for the answer required. RULE. 1. When the price is an even number, multiply the given number by one half of it, doubling the first figure to the right hand for shillings, and the rest will be the pounds. 2. When the price is an odd number find for the greatest even number as before, to which add one-twentieth of the given number for the odd shillings, and the sum is the answer: or multiply the given quantity by the price, and divide by 20 for the answer; or work by aliquot parts. § 111. CASE 5. When the price is shillings and pence, or dollars and cents. RULE. Multiply the given quantity by the shillings or dollars, and take parts for the pence or cents. |