35. At $12 a ton, what will 3 of a ton of hay cost? 36. In 1800 years how many centuries? 37. If you can count sixty a minute, how long will it take to count 180000. 38. Through how many degrees does the hour-hand of a clock pass in 6 hours? 39. Through how many degrees does the minute-hand pass in 6 hours? 40. What will 3 reams of paper cost at 40 a quire? 41. Reduce 3 mi. 4 fur. 20 rd. 5 yd. 2 ft. 8 in. to inches? 42. Reduce 6 mi. 240 rd. to feet. 43. Reduce 3 A. 8 sq. rd. 5 sq. yd. 3 sq. ft. to sq. inches. 44. Reduce 16 cu. yd. 9 cu. ft. 3 cu. in. to cu. inches. 45. Reduce 58 cd. to cu. feet. 46. Reduce 2 T. 3 ctl. 16 lb. to ounces. 47. Reduce 3 lb. 9 oz. 15 pwt. 12 gr. to grains. 48. Reduce 60 gal. 3 qt. 3 gi. to gills. 49. How many sheets in 5 bales of paper? 50. Reduce 3 wk. 6 da. 5 hr. to minutes. REDUCTION ASCENDING. 151. 1. Reduce 1306 gills to higher denominations. 4/1306 gi. 40 gal. + 3 qt. 40 gal. 3 qt. 2 gi. Since in 1 pt. there are 4 gi., in 1306 gi. there are as many pints as 4 gi. is contained times in 1306 gi., or 326 pt. and 2 gi. remainder. Since in 1 qt. there are 2 pt., in 326 pt. there are as many quarts as 2 pt. is contained times in 326 pt., or 163 qt. Since in 1 gal. there are 4 qt., in 163 qt. there are as many gallons as 4 qt. is contained times in 163 qt., or 40 gal., and 3 qt. remainder. Therefore, in 1306 gills there are 40 gal. 3 qt. O pt. 2 gi. 0 yd. = = = 4 yd. 334 yd. 60 rd. 4 yd. 3. Reduce 225932 in. to miles, etc. 4. How many miles and rods are there in 35640 ft. ? 5. Reduce 19922544 sq. in. to higher denominations. 6. Reduce 762051 cu. in. to cu. yards, etc. 7. How many cords in 7424 cu. ft. 8. Reduce 69056 oz. to tons, etc. 9. Reduce 21076 gr. to higher denominations. 10. Reduce 1947 gi. to gallons, etc. 11. How many bales in 24000 sheets of paper? 12. Reduce 39180 min. to weeks, etc. 13. Reduce 5762 far. to higher denominations. 14. Reduce 84623" to higher denominations. 15. Reduce 62341 M. to higher denominations. 16. How many chains, etc., in 13025 li.? 17. How many bushels, etc., in 35842 pints? 18. How many pounds, etc., (Troy) in 32563 gr.? 19. Reduce 39632 gr. to lb., etc. (Apoth.). 20. How many tons, etc., in 35682 lb. ? 21. A box contains 75832 pens. How many Gr. gross, etc., in the box? 22. Change 1384 dry pints to higher denominations. 23. In 139843 sq. in. how many miles, rods, etc.? 24. How many cords of wood in 3692 cu. feet? REVIEW PROBLEMS. 152. 1. Bought 2 gal. 8 oz. of fluid extract at 20 an ounce, and sold it at 15g an ounce. What was lost? 2. How many minims are there in 10 fluid ounces (f. 3), 7 fluid drachms (f. 3)? 3. Find the difference in value between 4 gal. of ammonia water at 10 cents a pint and 8 ounces of cinnamon water at 5 cents an ounce. 4. The pendulum of a certain clock beats seconds. How many times will it tick in 1 day, 9 hours, 25 minutes? 5. How many degrees in 3492.58 statute miles, measured on the equator, a degree being equal to 69.16 statute miles? 6. How many degrees of longitude will a steamship pass through, sailing due west on the equator, at the rate of 15 knots an hour for 5 days? NOTE. A knot = 1 geographic mile or minute. 7. Find cost of each of following: (a) 5 gallons, 3 qt. 1 pt. of molasses at 20 a gallon; (b) 10 acres, 50 sq. rd. of land at $50 an A. 8. What will it cost to build 112 rd. 3 yd. of fence at 48¢ a yard? 9. If a man steps 2 ft. at each step, how many miles will he travel in stepping 4820 times? 10. If 17 ft. is of the height of a tree, how high is the tree? 11. Reduce 6 mi. 317 rd. 4 yd. 2 ft. to feet. 12. Change 16571 ft. to miles. 13. At $3.20 a bu. how many quarts of nuts can be bought for $4.80? 14. How many pint bottles of camphor may be filled from 96 fluid ounces (f. 3)? 15. Find the cost of the following: 4 oz. iodine at 10, 8 oz. spts. camphor at 59, 10 oz. aqua ammonia at 10, 14 oz. cinnamon water at 59. 16. Reduce 4 bu. 3 pk. 7qt. 1 pt. to pints. 17. How many quart boxes will hold 2 bu. 3 pk. 5 qt. of berries? 18. If 4 bu. of berries are bought for $.70 per bushel and sold for $.05 per quart, what is the gain or loss? 19. Both sides of a railroad track are fenced with wire for 40 yards. What is the cost of the fence at 4o a foot? 20. What will 8 lb. 6 oz. of sugar cost at 8e a pound? 21. When pens are bought at 75¢ a gross, and sold at 2 for 3, what is the gain? 22. If a man can walk 10 miles in 2 hours, how far can he walk in 6 hours? in 30 minutes? in 50 minutes? 23. What will bu. berries bring at 8 a quart? 24. A silver chain weighs 18 pwt.; what is its value, when silver is worth $.65 an ounce? 25. What will 24 qt. of milk cost at 20 a gallon? 26. If I buy peanuts at 59 a quart, and retail them so as to gain $6.40 on 4 bushels, what do I sell them for? 27. At 4 pens for 3 cents what will 1 great gross cost? 28. How many table-forks, each weighing 2 oz., can be made from 4 lb. 4 oz. 10 pwt. of silver. 29. In of a gallon how many pints. 30. How many rods of fence will enclose a mile square of land? 31. What is, the cost of 1 yd. and 27 inches of fringe at 60 cents a yard. 32. How many rods of fence are required to enclose a lot that is 20 rods wide and three times as long? 33. Required the distance around a room that is 13 feet long and 15 feet wide. 34. A shoe-box is 4 in. deep, 6 in. wide, and 12 in. long. How much twine will it take to wind twice around the box each way to hold on the cover, allowing 6 inches for tying. 35. I have a lawn that is 30 ft. by 70 ft., and wish to lay a board walk around it that is 3 ft. 6 in. in width. What is the distance around the walk, outside measurement ? 153. A Denominate Fraction is a fraction having a denomination. 154. To reduce Denominate Fractions to Integers of Lower Denominations. 1. Reduce of a mile to rods, yards, feet, etc. NOTE. – The same process applies to denominate decimals. 2. Reduce .87 bu. to pecks, quarts, etc. Rule. Change the given fraction (or decimal) to the next lower denomination. Treat the fractional (or decimal) part of the product in the same way, and so proceed to the required denomination. |