12. WHAT WILL BE THE COST OF 11. 1b 13 13 opium, at 4 cts. a D? 6 cwt. 1qr. raisins, at 3 cts. a lb.? 1T. 1 cwt. rice, at $2.25 a qr.? 13. 14. 71b. 8oz. copper, at 5 cts. an oz.? Ans. $12.60 Ans. $18.75 Ans. $189. 15. A physician put up 316 doses of rhubarb, of 20 gr. each how much did he use? Ans. 1lb 13 13 19. 16. How many nails, weighing 4 drams each, are in a parcel weighing 15 lb. 9oz. 12 dr.? Ans. 999. 17. I bought 44 cwt. 2qr. 2lb. of cheese; each weighed 9lb. 15 oz.: how many cheese did I buy? 18. How many kegs, of 84lb. each, can a hhd. of sugar of 14 cwt. 1qr. 3lb.? 19. How many boxes, containing 12lb. filled from 7 cwt. 2qr. 6 lb. of tobacco? 20. If a family use 3lb. 13 oz. of sugar in long will 6 cwt. 10lb. last them? Ans. 448. be filled from Ans. 17. each, can be Ans. 63. a week, how Ans. 160 wk. at 20 cts. a Ans. $89. 21. What will 2 A. 3R. 5P. of land cost, perch? 22. What cost 2 sq. yd. 2 sq. ft. of ground, at 5 cents a square inch? Ans. $144. 23. How many leaves, 3in. long and 2 in. wide, can be cut from 1 sq. yd. of paper? Ans. 216. 24. A farmer has a field of 16 A. 1R. 13 P., to divide into lots of 1A. 1R. 1P. each: how many lots will it make? Ans. 13. 25. How many cu. in. in a block of marble 2ft. long, 2 ft. high, 2ft. wide? Ans. 13824 cu. in., or 8 cu. ft. 26. One cubic foot of water weighs 1000 oz. Avoirdupois: what do 5 cu. ft. weigh? Ans. 312lb. 8oz. 27. What is the weight of a quantity of water occupying the space of 1 cord of wood, each cu. ft. of water weighing 1000 oz. Avoirdupois? Ans. 4T. 28. A cubic foot of oak weighs 950 oz. Avoirdupois : what do 2 cords of oak weigh? Ans. 7 T. 12 cwt. 29. How many pieces, of 13 yd. 3 qr. 2na. each, are there in 666 yards? 30. How many suits of clothes, each 1 qr., can be made from 147 yards? Ans. 48. containing 5 yd. Ans. 28. 31. How many coat patterns of 2yd. 1qr. 1na. each, can be cut from 37 yd. of cloth ? Ans. 16. 32. How many suits of clothes of 3yd. 2qr. each, can be cut from 70 Ells Flemish of cloth? Ans. 15. 33. Find the cost of 1 hogshead of wine, at 5 cents a gill. Ans. $100.80 34. Find the cost of 5 bl. of molasses, each containing 31 gal. 2 qt., at 10 cents a quart. Ans. $63. 35. At 5 cents a pint, what quantity of molasses can be bought for $2? Ans. 5 gal. 36. At 1ct. 5 m. a gill, how much cider can be bought . for $12? Ans. 25 gal. holding 3qt. Ans. 6 doz. 38. How many kegs of 4 gal. 3qt. 1pt. each, can be filled from 1 wine hhd.? Ans. 12; and 4 gal. 2 qt. left. 39. How many bottles, each holding 1 gal. 1qt. 1 pt., can be filled from 165 wine gal.? Ans. 120. 40. What will 1 hogshead of beer cost, at 3 cents a quart? 41. The human heart beats 70 times a minute: how many times will it beat in a day? 37. How many dozen bottles, each bottle 1pt., can be filled from 1hhd. of cider? 42. How many seconds in the 1840? (See Note 1, page 98.) Ans. $6.48 Ans. 100800. month of February, Ans. 2505600 sec. 43. How many hours longer is January than February, A. D. 1839? (See Note 1, page 98.) (See Note 1, page 98.) Ans. 72 hr. 44. What are the leap years between 1837 and 1850? Ans. 1840, 1844, 1848. 45. The exact length of the solar year is 365 da. 5 hr. 48 min. 48 sec.: how many such years are contained in 1609403328 seconds? Ans. 51 years. 46. How much time will a man gain in 60 yr., of 365 da. each, by rising 30 rin. earlier each day? Ans. 456 da. 6 hr. 47. If a ship sail 8 miles an hour, how many miles will she sail in 3 wk. 2da. 3hr.? Ans. 4440 mi. 48. If a planet move through 20 in a day, how long it require to move through 2o 4°? Ans. 32 da. 49. In what time will one of the heavenly bodies move through a quadrant, (90°), at the rate of 43′ 12′′ per minute? Ans. 2hr. 5 min. WHAT WILL BE THE COST 50. Of 2 reams paper, at 20 cts. a quire? 51. 3 quires paper, at 2 cts. a sheet? 52. 3 dozen apples, at 2 cts. each? 53. 4 doz. doz. oranges, at 3 cts. each? 54. 5 gross buttons, at 5 cts. a doz.? 55. 1 bl. of flour, at 4 cts. a pound? 56. 1 bl. pork, at 12 cts. 5 m. a pound? Ans. $8. Ans. $1.44 Ans. 72 cts. Ans. $17.28 Ans. $3. Ans. $7.84 Ans. $25. 57. A farmer started for market with 6 dozen dozen eggs; he broke half a doz. doz., and sold the remainder at 1 ct. each: what did they amount to? Ans. $7.92 For additional problems, see Ray's Test Examples. ADDITION OF COMPOUND NUMBERS. ART. 101. The process of uniting numbers of different denominations into one sum or amount, is termed Addition of Compound Numbers. 1. A farmer sold three lots of wheat: the first lot contained 25 bu. 3 pk. 4qt.; the second, 14 bu. 5 qt. 1pt.; the third, 32 bu. 1 pk. 1 pt.: find the amount. SOLUTION. In writing the numbers, place units of the same denomination under each other, since only numbers of the same name can be added. Art. 20. Beginning with the column of the lowest denomination, and adding together the units in it, the sum is 2 pints, which is reduced to quarts by dividing by 2, the number of pints in a quart, and there being no pint left, write a 0 in the order of pints, and carry the 1 (quart) to the column of quarts. OPERATION. bu. pk. qt. pt. 25 3 4 0 14 0 5 1 32 1 0 1 72 1 2 0 Then, adding the numbers in the column of quarts, the sum is 10 quarts, which, being reduced, make 1 peck and 2 quarts; write the 2 quarts in the column of quarts, and carry the 1 (peck) to the column of pecks. The number in the column of pecks added, make 5 pk., which reduces to 1 bushel and 1 pk.; write the 1 pk. in the column of pecks, and carry the 1 bu. to the column of bushels: the sum of the numbers in this column is 72, which is written in the same manner as the sum of the numbers in the left hand column in Simple Addition. Rule for Addition.-1. Write the numbers to be added, placing units of the same denomination under each other. 2. Begin with the lowest order, add the numbers, and divide their sum by the number of units of this denomination, which make a unit of the next higher. Write the remainder under the column added, and carry the quotient to the next column. 3. Proceed in the same manner with all the columns to the last, under which write its entire sum. PROOF.-The same as in Addition of Simple Numbers. NOTE. In writing Compound Numbers, if any intermediate denomination is wanting, supply its place with a cipher. REM. In adding Simple Numbers, we carry one for every ten, as ten units of a lower order make one unit of the next higher. But in Compound Numbers, we carry one for the number of units of each lower order, which make one unit of the next higher. REVIEW.-101. What is Addition of Compound Numbers? Why place units of the same denomination under each other? Where do you begin to add? How is the addition performed? Repeat the Rule. REM. For what do you carry one? |
