4. One decistere of wood is worth 28 cents: what is a stere worth? Ans. $2.80. 5. A hectoliter of wheat costs $6.25: what is the price of a dekaliter? Ans. $.625. 6. A hectoliter of wine costs $25.10: what is the price of a liter? Ans. $.251. 7. A kilogram of wool costs $1.875: what will be the cost of 100 kilograms, or 1 quintal? Ans. $187.50. 8. A liter of wine weighs 880 G.: what is the weight of a hectoliter? Ans. 88 K. G. 9. A wine merchant sold 1270 liters, 487 liters, 1563 liters, and 2345 liters: how many hectoliters did he sell? Ans. 56.65 H. L. 10. A vase weighing 24.67 K. G., contains 18.79 K. G. of liquid: what is the weight of the empty vase? Ans. 5.88 K. G. 11. A courier traveled 135 K. M. in one day: how far can he travel in 45 days? Ans. 6075 K. M. 12. How much will 135.60 M. of cloth cost at Ans. $157.296. 13. Bought 25 hogsheads of wine, of 225 liters each, at the rate of $.156 a liter: how much did it cost? Ans. $877.50. 14. What is the cost of 21 pieces of cloth of 42 M. each, at $5.69 a meter? Ans. $5018.58. 15. A man bought 3.80 M. of velvet at $2.16 a meter: how much did it cost him? Ans. $8.208. 16. What will be the price of 5 deciliters of wine at 28 cents a liter? $1.16 a meter? Ans. $.14. 17. What will be the cost of 45 H. A. of land at $3.32 an are? Ans. $14940. 18. What is the price of 15 L. of wine, if it costs 14.06 a hectoliter? Ans. $2.109. 19. A merchant paid $457.92 for cloth at $3 a meter: how many meters did he buy? Ans. 152.64 M. 20. A man traveled 665 K. M. in 7 days: how far did he go each day? Ans. 95 K. M. 21. A manufacturer bought 380 steres of wood for $454.10: how much was that a stere? Ans. $1.195. 22. If 235 L. of wine cost $34.545, what is the cost of one liter? Ans. $.147. 23. A tower is 142.695 M. high; it has 453 steps: what the height of each? Ans. .315 M. 24. What is the cost of 248.35 M. of gold thread, at the rate of $1.58 a meter? 25. If 1 L. of a liquid weighs much will 25.8 L. weigh? Ans. $392.393. 1.25 K. G., how Ans. 32.25 K. G. 26. I bought 346.75 K. G. of coffee at 56 cents a kilogram: what did it cost me? 27. A traveler has to go 548 how far ought he to go in one day? 28. What must be paid for $3.175 a stere? Ans. $194.18. K. M. in 14 days: Ans. 39.14+K.M. 367 S. of wood, at Ans. $1165.225. 29. How many liters in 9684 flasks, each containing .25 L.? Ans. 2421 L. 30. How many hectoliters of oats in 4685 sacks, if each contains 1 H. L. 6 D. L.? Ans. 7496 H. L. 31. If 4957 loaves of sugar weigh 15684.08 K. G., what is the weight of one loaf? Ans. 3.164+ K.G. 32. What will be the price of a hectogram of sugar, if a loaf weighing 8 K. G., 6 D. G., and 6 G., costs $32.95 ? Ans. $.408+. 33. How much cloth 1.85 M. wide will it take to line a cloak, made of 6.5 M. of cloth 1.25 M. wide? Ans. 4.39 M. 34. A silver half-dollar weighs 12.441 G.: what is the weight of $11.50 in half dollars? Ans. 286.143 G 35. If a meter of cloth costs $2.50, how much can be purchased for $72.10? Ans. 28.84 M. 36. What is the cost of a field of 12 H. A., if an are costs $6.35? Ans. $7620. 37. What is the cost of a field containing 3 A., at the rate of $.625 a square meter? Ans. $187.50. 38. If 3 H. L. of wine cost $411, what is the price of 1 liter? Ans. $.137+. 39. What quantity of wheat is contained in 792 sacks, each containing 1 H. L. and 2 D. L.? Ans. 950.4 H. L. 40. A has a garden of 3.6 H. A.; he sold 30 M3 to a neighbor: how much had he left? Ans. 3.597 H.A. 41. A block of marble .72 M. long, .48 M. wide, and .5 M. thick, costs $.864: what is the cost of one Ans. $5. cubic meter? 342. REDUCTION. EXAMPLE.-Reduce 1 mile to meters. OPERATION. SOLUTION. First, reduce 39.37)63360(1609.34./+M the 1 mile to inches. It 3937 Rule for reducing the ordinary denominations to the metrical system,-Divide by the number of the given denomination making one of the required metrical denomination. EXAMPLE.-Reduce 2000 M. to yards. SOLUTION. Since 1 meter equals 39. 37 inches, 2000 meters equal 2000X 39.37 inches=78740 inches which, reduced to yards, equal 2187 yd. 8 in. OPERATION. 39.37 2000 12)78740.00 in. 3)6561 ft. 8 in. Rule for reducing metrical denominations to the ordinary system.-Multiply by the number expressing the equivalent of the unit of the given metrical denomination. 4. Mt. Everest, the highest mountain in the world, is 29100 ft. high; what is its height in meters? Ans. 8869.68. M. 5. Reduce 20 K. M. to miles. Ans. 12.427 + mi. 6. Reduce 49 M. to ordinary denominations.. Ans. 9 rd. 4 yd. 3.13 in. 7. A merchant in Holland bought 360 M. of linen: how many yards did he buy? Ans. 393.7 yd. 8. How many hectares in a quarter section (160 acres) of land? Ans. 64.74 H. A. T 9. How many square yards in a roll of 9 M. long and .5 M. wide? 10. Reduce 24 bushels to liters. 11. Reduce 32 L. to gallons. paper, Ans. 5.38sq. yd. Ans. 88.1+L. Ans. 8.45+gal. 12. How many hectoliters in a barrel containing 42 gallons of vinegar? Ans. 1.5899+ H. L. 13. A grocer sold 4 lb. of tea: how much would it have weighed in metrical denominations? sell? Ans. 1.814+ K. G. 14. A load of hay weighing .92 tonneau, was sold at 1 cent a pound, Avoirdupois: for how much did it Ans. $20.28+ 15. A has Manila cordage which he sells at 26 ct. a pound: how shall he mark it to sell by the kiloAns. 57 cts. gram? 16. B has sugars marked at 14, 16, and 20 ct. a pound: what is the price of each by the kilogram? Ans. 31, 35, and 44 cts. 17. Bought 36 lb. of tobacco for $28.80: at how much per K. G. shall I sell it to gain $1.44? Ans. $1.85+ 18. A single letter is allowed by law, to weigh 15 grams: how many such letters in a mail-bag, weighing 41 lb. 5 oz., if the bag alone weighs 8 lb. 3 oz. Ans. 1000. 19. A man bought 25 lb. of tea at $1.80 a pound; he exchanged it for five times its weight in coffee, which he sold at $.86 a kilogram: did he gain or lose by the bargain, and how much? 15.2 dr.? Ans. Gained, $3.76 +. THE END. |