make sign d. 12 pence make . sign s. make 1 pound, sign . STERLING MONEY. Repeat the TABLE. 4 farthings (qrs.) 1 penny, 1 shilling, 20 shillings 1. How many farthings are there in 2 pence? In 3? In 4? In 6? In 8? In 10? In 12 ? In 20 ? 2. How many pence are there in 2 shillings? In 3? In 5? In 7 ? 3. How many shillings are there in 2 pounds? In 3? In 6? 4. If 1 pair of gloves is worth 8 pence, how many pence are ? pair worth? 3 pair? 4 pair? 5 pair ? 6 pair? 10 pair ? 5. When a bushel of wheat costs 10 shillings, what will 2 bushels cost? What will 4? What will 6? What will 9? What will 12 ? 6. If 1 cart cost 1 pound, how many shillings will buy 2? How many 3? How many 4? How many 5? How many 9? How many 12? 7. How many farthings will buy 2 inkstands, if they cost a penny apiece? How many will buy 3? How many will buy 4? Note.The characters used for English money are £. for Libra, the Latia for pounds ; s. for Solidi, the Latin for shillings; d. for Denarii, thé Latin for pence; and grs. for Quadrantes, the Latin for farthings. A pound sterling is equal to $4,449 cents, Fed. Money. An English guinea, 4,75 cents, Q. How is 1 farthing sometimes written? A. & d. 23 cents, Exercises for the Slate. 42. How many shillings in 3 pounds? In 4200 pounds? A. 84060 shillings. 43. How many pence in 3 shillings? In 2600 shillings? A. 31236 pence. 44. How many farthings in 4 penco? In 2700 pence? A. 10816 farthings. 45. How many pence in 8 farthings? In 6200 farthings ? A. 1552 pence. PRACTICAL APPLICATION OF REDUCTION, Involving the Rule, with Miscellaneous Examples. 1. At 20 cents a quart, what will 2 gallons of rum cost ? What will 4 gallons ? What will 5 gallons ? 2. At $60 a hogshead, what wil 2 pipes of wine come to? What will 4? What will 6 ? 3. How many minutes in 2 hours? In 4? In 6? 4. How many weeks in 14 days? In 21? In 49 ? Q. What are such questions as these in ? Q. What, then, is the changing numbers from one denomination to another called ? A. Reduction. Q. In 2 bushels of corn, how many pecks ?. Q. Are 8 pecks of corn as much as 2 bushels ? Q. Is the value altered, then ? Q. Do you multiply or divide, to find how many furlongs there are in 2 miles ? Q. When, then, the reduction is performed by multiplication, what is it called ? A. Reduction Descending. Q. When, ther, the reduction is performed by division, what is it called ? A. Reduction Ascending. Q. From the preceding remarks, how many kinds of reduction do there appear to be ? and what are they? A. Two ;-Reduction Ascending and Descending RULE. Q. What do you multiply 2 furlongs by, to bring them into rods ? Q. As a general rule, then, what do you multiply furlongs by? A. By what makes a furlong. Q. What do you multiply days, bushels, &c. by ? in 8 quarts A. Bushels by what makes a bushel, days by what makes a day, &c. Q. What do you divide by to bring 8 gills into pints ? Q. As a general rule, then, what must you divide gills, minutes, quarters, &c. by ? A. Gills' by gills, minutes by minutes, quarters by quarters, &c. Q. Why do you divide thus ? A. Because 4 gills are equal to 1 pint, 60 minutes to 1 hour, &c. Q. What do you multiply pounds (money) by ? Q. How do you bring 40 cwt. into_tons ? 1 cwt. into drams? 1 ton into drams? Drams into tons ? Drams into cwt. ? 1 lb, into grains ? Grains into pounds ? Ells Flemish into nails? Nails into ells Flemish ? Quarters into ells English? Ells English into quarters ? 5 bushels into pints? 200 pints into bushels ? 360 degrees into inches ? Feet into furlongs ? 5 weeks into seconds ? Seconds into weeks ? Years into seconds ? Seconds into years? How do you tell what 1 tun of wine will cost, at 6 cents a gill? Exercises for the Slate. 46. At 6 cents a pound, what will 2 qrs. 8 lbs. of sugar cost? OPERATION. Q. Why do you multiply the 2 qrs. by 28 lbs.? 2 8 A. Because, since it takes 28 pounds to make 1 qr., there will of course be 28 28 times as many pounds as quarters; that is, 28 times the quarters. 56 lbs. Q. What do you do with the 8 lbs." 8 lbs. A. I add it to 56 lbs., making 64 lbs. Q. Why do you multiply the 64 lbs. by 64 lbs. 6 cents ? 6 cts. A. Because every pound of sugar cost 6 cents; that is, 6 times the pounds. $ 3,84 Ans. qrs. lbs. Proof of the foregoing Example. 47. How many quarters of sugar can you buy for 384 cents, at 6 cents a pound? OPERATION. Q. Why do you di vide 384 cents by 6 6) 384 cents ? A. Because, since 28 ) 64 ( 2 qrs. there are 6 times as 56 many cents as pounds, as often as 6 is con8 lbs. Ans. 2 qrs. 8 lbs. tained in 384, so many pounds there will be Q. Why do you divide 64 pounds by 28 pounds ? A. Because every 28 pounds make 1 quarter. Q. What, then, appears to be the method of proof? A. Reverse the operation; that is, make the divisors in the operation the multipliers in the proof, and the multipliers the divisors. In examples like the following, where more than one operation in a simple rule is employed in their solution, their entire work is inserted in the Key, by means of signis, indicating the exací process of each, with all their intermediate results, to the final one, or answer. Besides, when the question is at all intricate, the reason for every step in the required operation is fully shown. More Exercises for the Slate. 48. At 5 cents a gill, what will 8 pints of rum cost? A. $1,60. 49. How many gills in 20 pints? In 40 pints?' A. 240"gills. 50. How many pints in 60 gills? In 120 ? A. 50 pints. 51. A merchant sold 5 hhds. of brandy, at 3 dollars a gallon; how much did it amount to? A. $945. 52. How many hogsheads in 126 gallons? In 945 ? A. 17. 53. At 6 cents a quart, what will i hhd. of molasses come to ? A. $15,12. 54. How many quarts are there in 3 hhds.? In 100? A. 25956. 55. How many hogsheads are there in 756 qts.? In 252 qts. ? A. 4. 56. Sold 1 tun of wine, at 5 cents a gill; what did I get for it? A. $403,20. 57. How many gills in 10 tuns ? A. 80640. 58. At 8 cents a pound, what will 3 cwt 2 qrs. of raisins cost? A. $31,36. 59. How many pounds in 15 cwt. 1 qr.? A. 1708. 60. At 8 pence à peck, how many pence will 3 bushels of salt cost? A. 96. 61. How many pence are there in 20 shillings? A. 240. 62. How many pence in 5 £.? In 10? A. 3600. 65. At 6 pence per lb., what will two yrs. of rice cost? A. 336 pence. 66. How many qrs. of rice, at 6 pence per lb., may be bought for 336 pence? A. 2 qrs. 67. At 6 cents a gill, what will 1 tun of wine cost? A. $483,84. 68. How many tuns of wine, at 6 cents a gill, may be bought for $483,84. A. 1 tun. 69. At 9 pence per quart, what will 16 gals. 2 qts. of molasses come to in pence? A. 594 pence. 70. How many gallons of molasses, at 9 pence per quart, may be bought for 594 pence? A. 16 gals. 2 qts. 71. What is the value of a silver cup, weighing 10 oz.5 pwts. 18 grs., at 5 mills per grain? A. $24,69. 72. At 5 mills per grain, what will be the weight of a silver cup that $24,69 will purchase ? A. 10 oz. 5 pwts. 18 grs. 73. At 12 cents a pound, what cost 5 cwt. 2 qrs. 18 lbs. of sugar? A. $76,08 cts. 74. How many hundred weight of sugar, at 12 cents per lb., may be bought for $76,08? A. 5 cwt. 2 qrs. 18 lbs. 75. At 9 pence an hour, what will 2 yrs. 6 mo. 3 weeks, 6 da. 12 h. labor come to in pence? A. 187380. 76. How many years' work, at 9 pence per hour, may be obtained for 187380 pence? A. 2 yrs. 6 mo. 3 weeks, 6 da. 12 h. 77. At 20 cents a nail, what is the price of 4 yds. of cloth ? A. $12,80. 78. At 320 cents a yard, what will 64 nails of cloth cost? A. $12,80. 79. At 1£. 2 s. 64 d. per yard, what will 20 yds. of broadcloth cost in farthings ? A. 21640. 80. At 6 cents a pint, what will 20 bu. O pks. 3 qts. 1 pt. of flax-seed cost ? A. $77,22. 81. How many shillings, at 2 farthings a gill, will 5 T. 1p 1 hhd. 2 gals. 2 qts. 1 pt. 3 gills, cost ? A. 1735 s. 7 d. 2 qrs. 82. At 2 shillings a quarter, how many dollars will 8 yds. 1 qr of broadcloth cost? A. 11. 83. At 2 pence a gill, how many dollars will buy 50 gals. 2 qts. 1 pt. 2 gills of ale ? A. $45,055. 84. In 3600 dollars, how many farthings ? A. 1036800. 88. In 15 lbs. how many ounces, drams, scruples, and grains? A. 180 ounces, 1440 drams, 4320 scruples, 86400 grains. 11: 2105 |