37. In 1105920 inches, how many tons of round timber? COMPOUND REDUCTION. a 1. In 57£. 15s. how many dollars ? Ans. $ 192.50 cts. 2. In 67£. 143. 9d. how many crowns at 6s. 7d. each ? Ans. 205cr. 5s. 2d. 3. How many pounds, shillings, and pence in 678 dollars ? Ans. 203£, 8s. 4. How many ells English in 761 yards ? Ans. 608 E.E. 4qrs. 5. How many yards in 61 ells Flemish ? Ans. 45yds. Sqrs. 6. How many bottles, that contain 3 pints each, will it take to hold a hogshead of wine ? Ans. 168 bottles. 7. How many steps, 2ft. sin. each, will a man take in walking from Bradford to Newburyport, the distance being 15 miles ? Ans. 29700. 8. How many spoons, each weighing 2oz. 12dwt. can be made from 5lbs. 2oz. 8dwt. of silver. Ans. 24 spoons. 9. How many times will the wheel of a coach revolve, whose circumference is 14ft. 9in. in passing from Boston to Washington, the distance being 436 miles ? Ans. 15607834 10. I have a field of corn, consisting of 123 rows, and each row contains 78 hills, and each hill has 4 ears of corn ; now if it take 8 ears of corn to make a quart, how many bushels does the field contain ? Ans. 149bu. Bpks. 5qts. Opts. 11. If it take 5yds. 2qrs. 3na. to make a suit of clothes, how many suits can be made from 182 yards ? Ans. 32. 12. A goldsmith wishes to make a number of rings, each weighing 5dwt. 10gr. from 3lb. 1oz. 2dwt. 2grs. of gold; how many will there be ? Ans. 137 rings. 13. How many shingles will it take to cover the roof of a building, which is 60 feet long and 56 feet wide, allowing each shingle to be 4 inches wide and 18 inches long, and to lay one third to the weather ? Ans. 20160 shingles. 14. There is a house 56 feet long; and each of the two sides of the roof is 25 feet wide. How many shingles will it take to cover it, if it require 6 shingles to cover a square foot ?. Ans. 16800 shingles. 4822 15. If a man can travel 22m. 3fur. 17rd. a day, how long would it take him to walk round the globe, the distance being about 25000 miles ? Ans. 11144877 days. 16. If a family consume 7lbs. 10oz. of sugar in a week, how long would 10cwt. 3qrs. 16lbs. last them? Ans. 160 weeks. 17. Sold 3 tons, 17cwt. 3yrs. 18lbs. of lead at 7d. a pound, what did the lead amount to? Ans. 254£. 10s. 2d. 18. What will 5cwt. Iqr. 10lbs. of tobacco cost, at 4fd. ą pound ? Ans. 11 £. 4s. 3d. 19. What will 7 hogsheads of wine cost at 9 cents a quart? Ans. $ 158.76. 20. What will 15 hogsheads of beer cost, at 3 cents a pint ? Ans. $ 194.40. 21. What will 73 bushels of meal cost, at 2 cents a quart? Ans. $ 46.72. 22. A merchant has 29 bales of cotton cloth; each bale contains 57 yards. What is the value of the whole at 15 cents a yard ? Ans. $ 247.95. 23. A merchant bought 4 bales of cotton ; the first contained 6cwt. 2qrs. 11lbs.; the second, 5cwt. Sqrs. 16lbs.; the third, 7cwt. Oqr. 7lbs.; the fourth, 3cwt. 1qr. 17lbs. He sold the whole at 15 cents a pound. What did it amount to? Ans. $385.65. 24. A merchant having purchased 12cwt. of sugar, sold at one time Scwt. 2qrs. 11lbs. and at another time he sold 4cwt. lqr. 15lbs. What is the remainder worth at 15 cents per pound ? Ans. $ 67.50. 25. Bought 4 chests of hyson tea. The weight of the first was 2cwt. 1qr. 7lbs. ; the second, Scwt. 2qrs. 15lbs.; the third, 2cwt. Oqr. 20lbs. ; the fourth, 5cwt. Sqrs. 17lbs. What is the value of the whole at 37) a pound? Ans. $ 589.12. 26. Purchased a cargo of molasses, consisting of 87 hogsheads. What is the value of it at 33 cents a gallon ? Ans. $ 1808.73. 27. From a hogshead of wine, 10galls. 1qt. 1pt. 3 gills leaked out. The remainder was sold at 6 cents a gill." To what did it amount? Ans. $ 100.36. 28. A man has 3 farms; the first containing 100A. 3R. 15rds.; the second, 161A. PR. 28rds.; the third, 360A. 3R. 5rds. He gave his oldest son a farm of 112A. BR. 30rds.; his second son a farm of 316A. 1R. 18rds.; his youngest son a farm of 168 A. 3R. 13rds.; and sold the remainder of his land at 1 dollar and 35 cents a rod. To what did it amount ? Ans. $ 5436.45. 29. A grocer bought a hogshead of molasses, containing 87galls. Iqt. from which 13 gallons leaked out. What is the remainder worth at 1 cent a gill? Ans. $ 23.76. 30. A man bought 4 loads of hay ; the first weighing 25cwt. Oqr. 17lbs. ; the second, 37cwt. 2qrs. 17lbs. ; the third, 18cwt. Sqrs. 14lbs.; and the fourth, 37cwt. lqr. 17lbs. What is the value of the whole, at 2 cents a pound ? Ans. $ 266.74. REDUCTION OF THE OLD NEW ENGLAND CURRENCY TO FEDERAL MONEY. RULE. To the pounds annex three ciphers, and divide the number by 3, and the quotient will be the answer in cents ; but if there be pounds and shillings, annex to the pounds half the number of shillings and two ciphers ; and if the shillings be an odd number, instead of two ciphers, annex a 5 and a cipher, and divide the number by 3, and the quotient will be the answer in cents, as before ; if there be pounds, shillings, pence and farthings, let the pounds and shillings be arrang ed as before, then reduce the pence and farthings into farthings, and add 1 if their number exceed 12, and 2 if it exceed 36, and let them be so annexed to the pounds, that the units of the farthings shall possess the third place from the pounds ; then divide by 3, as before, and the quotient is cents. NOTE. — As a dollar is six-twentieths of a pound, or, which is the same thing, three-tenths, therefore a pound is ten-thirds of a dollar. It is also evident, that if pounds be multiplied by 10, their product will be thirds of a dollar; and if thirds of a dollar be divided by 3, the quotient will be dollars. Again, as shillings are twentieths of a pound, it is evident that if they be halved, they become tenths or decimals of a pound; and if 1 be added to 24 farthings, or 2 be added to 48 farthings, and they be made to occupy the third place from pounds, they become decimals also; for twenty-four farthings are twenty-four nine hundred sixtieths of a pound; but if 1 be added to the numerator of this fraction, then must 40 be added to the denominator, to make a fraction of equal value, for twenty-four nine hundred sixtieths is equal to twenty-five one thousandths; now, if a pound be considered the unit, twenty-five thousandths will be expressed thus, ,025£. Therefore, as the number of farthings may be less or greater than 24, so a greater or less number than a unit must be added to their number. Q. E. D. EXAMPLES. 1. Reduce 162£. to Federal Money. 3)162000 Ans. $ 5 10. 2. Change 319£. 17s. to Federal Money. 3)319850 Ans. $ 1066.168. 3. Change 176£. 175. 8fd. to Federal Money. 176850 36 3) 176886 58962 Ans. $ 589.62. 9 ഹ് 6- ന് 66 66 66 4. Reduce 315£. to Federal Money. Ans. $1050.00 5. 619£, to 2063.33} . 166£. to 553.33} 7. 318£. to 1060.00 8. 101£. to 336.663 9. 144£. to 480.00 10. 161£. 18s. to 539.663 11. 361£. 178. 1206.16% 12. 99£. 11s. to 331.834 13. 100£. 9s. to 334.83} 14. 661£. 7s. to 2204.50 15. 47£. 11s. to - 158.50 16. 109£. ls. to 363.50 17. 16£. 17s. 6 d. to 56.253 18. 69£. 1s. 3 d. to 230.21} 19. 87 £. 16s. 11d. to 292.82 20. 14£. 7s. 73d. to 47.933 21. 73£. 3s. 4fd. to 243.893 22. 47£. 12s. 10d. to 158.803 23. 18 0fd. to 624.17 24. 10£. Os. 34d. to 33.38 Wh the price is in cents, or dollars and cents, multiply the quantity by the price, and the answer is in cents, which may be reduced to dollars and cents by cutting off two figures from the right hand, which are cents ; and those at the left are dollars. If the price be in mills, or cents and mills, or dollars, cents and mills, multiply as before, and cut off THREE figures from the right hand, the unit of which is mills, the other two are cents ; and those figures at the left hand are dollars. EXAMPLES. 1. What will 365 barrels of Genessee flour cost, at $5.75 a barrel ? 365 1825 Ans. $ 2098.75 2. What will 128 pounds of sugar cost, at 13 cents, 7 mills a pound? 128 137 896 3. What will 126 pounds of butter cost, at 13 cents a pound ? Ans. $ 16.38. 4. What will 63 pounds of tea cost, at 93 cents a pound? Ans. $ 58.59. 5. What will 43 tons of hay cost, at 13 dollars 75 cents a ton ? Ans. $ 591.25. 6. If 1 pound of pork is worth 7 cents 3 mills, what is 46 pounds worth? Ans. $ 3.35.8. 7. If Icwt. of beef cost 3 dollars 28 cents, what is 76cwt. worth? Ans. $ 249.23. 8. What will 96,000 feet of boards cost, at 11 dollars 67 cents a thousand ? Ans. $ 1120.32. 9. If a barrel of cider be sold for 2 dollars 12 cents, what will be the value of 169 barrels ? Ans. $ 358.28. 10. What will be the value of a hogshead of wine, containing 63gals., at 1 dollar 63 cents a gallon ? Ans. $ 102.69. 11. Sold a sack of hops weighing 396 pounds, at 11 cents 3 mills a pound; to what did it amount ? Ans. $ 44.74.8. 12. Sold 19 cords of wood, at 5 dollars 75 cents a cord ; to what did it amount ? Ans. $ 109.25. 13. Sold 169 tons of timber, at 4 dollars 68 cents a ton ; what did I receive ? Ans. $790.92. 14. Sold a hogshead of sugar weighing 465 pounds ; to what did it amount, at 14 cents a pound ? Ans. $ 65.10. 15. What will be the amount of 789 pounds of leather, at 18 cents a pound? Ans. # 142.02. 16. What will be the expense of 846 pounds of sheet lead, at 5 cents 7 mills a pound? Ans. $ 48.22.2. 17. When potash is sold for 132 dollars 55 cents a ton, what will be the price of 369 tons ? Ans. $ 48910.95. 18. What will 365 pounds of bees' wax cost, at 18 cents 4 mills a pound? Ans. $ 67.16. 19. If 1 pound of tallow cost 7 cents 3 mills, what is 968 pounds worth? Ans. $70.66.4. 20. What will a chest of souchong tea be worth, containing 69 pounds, at 29 cents 9 mills a pound ? Ans. $ 20.63.1. 21. If i drum of figs cost 2 dollars 75 cents, what will be the price of 79 drums ? Ans. $ 217.25. |