(d) 8+27=714—2=5, Ans. (138, d.) 34. From 9 take 12. 3. Add £ s. d. and qr. together. 4. Reduce 4 rods, 24 yards, 2 feet and 73 inches to the fraction of a furlong. 5. Subtract of from X 210. 83 41 6. Reduce of a gallon to whole numbers of lower denominations. 7. If 1lb. of veal is worth 12 cents, what is the value of 12 lb.? 8. A firkin contains 334lb. of butter; what is the value of the butter at 23 cents per lb.? 9. If of a bushel of wheat is worth $12, what is the value of 25% bushels? 10. Paid $6 for 83 bushels of potatoes; what should I pay for 27 bushels? 11. Divide $144 among 5 men and 7 boys, so that each man shall receive as much as a boy; what will each receive? Ans. Each man, $143; each boy, $104. 12. If 15bbl. of flour cost $157, what will 74bbl. cost? 13. If 2 cords of wood will pay for 333 gallons of molasses, what quantity of wood will pay for 7 times 33 gallons of molasses? Ans. 183 cords. 14. If of a bushel of oats cost 42 cents, how many oats may be bought for $8.17? 200 15. 32 is § of how many times of 12? 16. 36 is of how 17. of 28 is many times 9? Ans. 10 bush. of how many fifths of 15? 18. of 15 is of how many eighths of 88? 19. What is the value of 11yd. silk at 20. Sold a watch for $87, which was lost by the transaction? 21. Reduce 189 to its lowest terms. 22. How many cubic feet are there in and what is its value at $5 per cord? Ans. 9 times. of a dollar per yd.? of its cost; what was Ans. Ans. 104 of a cord of wood, ft.; $4. 23. Bought 734bush. corn for $6442; what is the value of 64bush. at the same price? 24. Reduce Ans. $56. Ans. 1440 of a farthing to the fraction of a pound. 25. What is the value of 721lb. plums, at 272 cents? Ans. 2003cts. $20.0311. (34, Note 4.) = 26. How many cubic feet in a box that is 63ft. long, 53ft. wide and 31ft. deep? 17 2 6573 (77) NOTE. In solving problems, it is desirable to cancel (127, a, Note 2) as much as convenient. 27. How many dozen bottles containing 12 pints each are required to bottle 63 gallons of wine? Ans. 24. 28. What is the value of my farm, which contains 73 acres, worth $963 per acre? Ans. $7025.86. 29. What cost 1763 lbs. sugar at 6дcts.? Ans. $110.193. 30. If it costs $83 to carry 13cwt. 3qr. 5lb. 194 miles, how far may it be carried for $6431 ? Ans. 139 miles. 31. How many square feet of boards will be required to make 3 dozen boxes whose inner dimensions shall be 3 feet in length and breadth and 24 feet in depth, the boards being 1 inch in thickness? Ans. 2129. 32. How many feet will be required to make 36 boxes whose outer dimensions are as expressed in the preceding example, the boards being of the same thickness; and what is the difference of the capacities of the two sets of boxes in cubic inches? Ans. 1907ft.; 274608c. in. 33. If 2 yds. cloth cost $7.70, what will of of a yard cost? Ans. $13. 34. Bought of a 12 acre lot and sold of the part purchased; how much had I remaining? Ans. 4 acres. 35. The trans-Atlantic telegraph (mentioned page 26, Ex. 69) is to extend from St. John's, Newfoundland, to Valencia, Ireland, 1640 miles in a straight line; to allow for deviations from a straight course, inequalities of the sea-bottom, etc., the cable is to be 13 as long as would be required for a straight line; the iron wires in each bundle are twisted together, and the bundles run spirally around the cable. Now, supposing it necessary to increase the length of the wire 1 foot in every 20, in consequence of twisting the wires, and 1 foot in 24 because of the bundles' running spirally, what length of wire will be required for the cable? Ans. 362031 miles. 36. The trans-Atlantic telegraph cable is to weigh 1 ton per mile; what will it weigh per foot. Ans. 233. for 131 37. If it require 34 bushels of oats to sow an acre, how many bushels will be required to sow 7 acres? 38. If I pay $13 per gallon for oil, what gallons? shall I 39. A pole 12 feet long casts a shadow 3 what is the length of the shadow cast by a high, at the same time? pay Ans. $181. feet at 12 o'clock; steeple 133 feet Ans. 33ft. 40. If a pole 12 feet long casts a shadow 3 feet at 12 o'clock, what is the height of a steeple that casts a shadow 33 feet at the same time? 41. Bought 7 yards of one kind of cloth and 3 times as many yards of another kind; for the former I paid as many dollars per yard as there were yards of the latter, and for the latter as much per yard as for the former. What was the price per yard of each and the cost of the whole? Ans. $31, price of former. 42. If the cargo of a ship be worth $72000, and if 3 of 1⁄2 of 7 of the cargo be worth of 3 of 14 of the ship, what is the value of the ship? Ans. $24000. 43. Of the inhabitants of a certain town, are farmers, mechanics, manufacturers, students and professional men, and the remainder, numbering 142, are engaged in various occupations. What is the population of the town. Ans. 5040. 44. A certain room is 16 feet in length, 15 feet in width, and 83 feet in height. In this room are 4 windows, each 3 feet wide by 4 feet high, having 12 panes in each window; also, 4 doors, each 31 feet wide by 8 feet high; the base-boards are wide. A glazier furnishes and sets the glass for 15 pane, a painter paints the doors, base and floor for 3 of a foot cents per cents per square foot, and a mason plasters the room for 22 cents per square yard. What is the cost of glazing, painting and plastering? Ans. $34.945. 45. What would be the cost of carpeting the room mentioned in Example 44, the carpet being a yard wide and costing $13 per yard? Ans. $36. 46. What is the cost of papering the above room, the paper costing of a dollar per roll, each roll containing 174 yards, the paper being 13 feet in width, the paper-hanger charging of a dollar per roll for hanging it? Ans. $275. 47. A merchant bought 483 lbs. butter of one customer, 281 of another, 25 of another, and 563 of another; how many pounds did he buy, and what is the value of the lot at 22 cents per pound? Ans. 1581 lbs.; $35.73. 48. A purchased 22 lbs. sugar at 6 cents, 10 lbs. tea at of a dollar, 50 lbs. rice at 4 cents, 1 bbl. flour at $63 and 38 yards of sheeting, and gave 2 ten-dollar bills to the merchant, who returned $33; required the price per yard of the sheeting? Ans. 8 cts. 49. How many times will a wheel that is 93 feet in circumference, turn round in running 17 miles? Ans. 100413. 50. The distance from the earth to the sun is about 95000000 miles; in what time will a car run that distance, running 37 miles per hour, allowing 365 days in a year? Ans. 288y. 363d. 13h. 20m. 51. A farmer, owning 1421 acres of land, sold 53a. 3r. 20rd.; how much had he left? Ans. 883a. 52. A farmer, owning 144 acres of land, cultivated 2 acres potatoes, 3 corn, 3 wheat, 12 rye and 12 oats, from which he harvested 250 bushels potatoes, 561 corn, 321 wheat, 25 rye and 62 oats per acre, respectively. He also cut 21 tons hay on each of 20 acres, and, upon the remainder of his land, he pastured 56 sheep, 12 cows, 2 pairs oxen and 3 horses for 25 weeks. He sold his potatoes, corn, wheat, rye and oats at 621, 871, 1621, 100 and 45 cents per bushel, respectively; he sold his hay at $12 per ton, and received 4, 25, 40 and 50 cents each per |