176 QUESTIONS TO BE PERFORMED BY ANALYSIS. [SECT. XVIII. QUESTIONS TO BE PERFORMED BY ANALYSIS. 1. If one yard of cloth cost $4.40, what will of a yard cost? ILLUSTRATION. If 1 yard cost $4.40, of a yard will cost of $4.40, equal to $0.88; and will cost 4 times $0.88, equal to $3.52, Ans. 2. If a barrel of flour cost $7.80, what will cost? 3. If a load of hay cost $17.84, what will } of a barrel Ans. $2.34. of a load cost? Ans. $15.61. 4. If $786.63 are paid for a cargo of wheat, what is the cost of 11 of the cargo? 5. What is 1 of $87.50? 6. What is 2 of 17£. 18s. 9d.? 7. What is of 3T. 16cwt. 3qr. 23lb.? Ans. $665.61. Ans. $80.205. Ans. 13£. 9s. 0ğd. Ans. 2T. 3cwt. 3qr. 23 lb. 8. What is of 27A. 3R. 33p.? 9. If $3.52 are paid for of a yard of cloth, what is the price of 1 yard? Ans. $4.40. ILLUSTRATION. -If of a yard cost $3.52, will cost of $3.52, equal to $0.88; and g, or a whole yard, will cost 5 times $0.88, equal to $4.40, Ans. 10. If of a barrel of flour cost $2.34, what will be the cost of a whole barrel? Ans. $7.80. 11. When $15.57 are paid for of a ton of hay, what will 1 ton cost? 12. When Ans. $17.80. of a cargo of flour cost $665.50, what sum will pay for the whole cargo? Ans. $786.50. 13. If $73.60% are paid for of a ton of potash, what sum must be paid for a ton? Ans. $80.30. 14. Bought of a bale of broadcloth for 13£. 9s. Ogd.; what would have been the cost of the whole bale? Ans. 17£. 18s. 9d. 15. If of an acre produce 18cwt. Oqr. 12lb. of hay, what quantity will a whole acre produce? Ans. 77cwt. Oqr. 1lb. 16. Bought of a lot of land containing 12A. 1R. 307p.; what were the contents of the whole lot? Ans. 27A. 3R. 391p. 17. If of a ton of potash cost $80.20g, what is the value of a ton? Ans. $87.50. 18. If of a cwt. of sugar cost $5.40, what is the value of ILLUSTRATION. - If of a cwt. cost $5.40, will cost of $5.40, equal to $1.80; and 4, or a cwt., will cost 4 times $1.80, equal to $7.20. Now, if lcwt. cost $7.20, of $7.20, equal to $0.80; and will cost 7 to $5.60, Ans. of a cwt. will cost times $0.80, equal 19. If of a pound of ipecacuanha cost $2.52, what is the value of of a pound? Ans. $1.76. 20. When $80 are paid for å of an acre of land, what cost of an acre? 6 Ans. $93.331. 21. If of a carding-mill are worth $631.89, what are of it worth? Ans. $401.20. 22. If 4 of a ship and cargo are valued at $141.52, what are of them worth? Ans. $30.50. 23. If the value of of a farm containing 178 $1728, what is the price of of the remainder? acres is Ans. $2304. 24. E. Carter's garden is 174 rods long, and 11 rods wide. He disposes of of it for $82.80; what is the value of of the remainder? Ans. $41.40. 25. When 26£. 12s. 6d. are paid for of a bale of cloth, what sum should be paid for 3 of the remainder? Ans. 18£. 12s. 9d. 26. If 7cwt. of sugar cost $28.14, what will 9gcwt. cost? ILLUSTRATION. If 7cwt. cost $28.14, lcwt. will cost of $28.14, equal to $4.02. In 9gcwt. there are 52cwt.; and if 1cwt. cost $4.02, cwt. will cost of $4.02, equal to $0.67, and 52 will cost 59 times $0.67, equal to $39.53, Ans. 27. If three tons of hay cost $49, what will 74 tons cost? Ans. $120.27. 28. Gave $78.80 for 11 tons of coal; what should I give for 3 tons? Ans. $24.677. 29. Paid 37£. 18s. 10d. for 3 bales of velvet; what was the cost of 5 bales? Ans. 67£. 19s. 611d. 30. Gave $40 for 5 yards of broadcloth; what was the price Ans. $156.574. of 194 yards? 31. Paid $360 for 20 barrels of beer; what must be given for 43% barrels? Ans. $789. 32. If 7 bushels of rye cost $8.75, what cost 187 bushels? Ans. $23.29.6. 178 QUESTIONS TO BE PERFORMED BY ANALYSIS. [SECT. XVIII. 33. Paid $19.80 for 3 yards of broadcloth; what sum must be given for 114 yards? Ans. $76.374. 34. If 95cwt. of sugar cost $39.53, what must be paid for 7cwt.? ILLUSTRATION. In 9gcwt. there are 52cwt. If 52cwt. cost $39.53, cwt. will cost of $39.53, equal to $0.67; and g, or lcwt., will cost 6 times $0.67, equal to $4.02; and 7cwt. will cost 7 times $4.02, equal to $28.14, Ans. 35. When $187 are paid for 3cwt. of sugar, how much may be purchased for $1? How much for $78? Ans. 1260 cwt. 36. If 33 tons of potash cost $276.18, what will be the value of 1 ton? Of 75 tons? Ans. $6041.433. 37. If 74 acres of land cost $875, what will one acre cost? What will 75 acres cost? Ans. $8912.0319. 38. If 4 tons of coal cost $70, what will 1 ton cost? What will 86 tons cost? Ans. $1376. 39. For 27 acres of land there were paid $375; what cost I acre? What cost 69 acres? Ans $932.43. 40. If 43 tons of hay cost $80.50, what costs 1 ton? What cost 15 tons? Ans. $262.50. 41. If 7cwt. of sugar cost $62.37, what will lcwt. cost? What cost 19cwt.? Ans. $160.93. 42. If 7 yards of cloth cost $13.95, what will be the value of 11 yards? ILLUSTRATION. In 73 yards there are 31 of a yard. If 31 of a yard cost $13.95, will cost of $13.95, equal to $0.45; and 4, or 1 yard, will cost 4 times $0.45, equal to $1.80. In 11 yards there are 103 of a yard. If 1 yard cost $1.80, ₫ of a yard will cost of $1.80, equal to $0.20, and 103 will cost 103 times $0.20, equal to $20.60, Ans. 43. When $668.50 are paid for 17 the value of 89 acres? 44. If $1738 are given for 193 tons of cost of 374 tons? acres, what would be Ans. $3457.30. iron, what will be the Ans. $3288. 45. Paid $11 for 1128 feet of boards; how many could I have purchased for $1197? Ans. 11480 feet. 46. For 3 tons of potash I received 116cwt. of sugar; required the quantity of sugar that may be received for 113 tons of potash. Ans. 376cwt. 47. For 11 tons of potash I received 376cwt. of sugar. required the quantity of sugar that should be received for 3§ Ans. 116cwt. tons. 48. When $8 are paid for 13 yards of broadcloth, how much must be given for 83 yards? Ans. $49. 49. Gave $414 for 20 acres of land; what shall be given for 114 acres? Ans. $236. MISCELLANEOUS QUESTIONS BY ANALYSIS. 1. Sold a small farm for $896.50; what was received for of it? For of it? For 1 of it? Ans. $815. 2. Gave $17 for 3 barrels of flour; what cost 1 barrel? What 37 barrels ? Ans. $213.03. it? 3. Sold a house for $3687; what sum was received for of Ans. $3226.12. 4. Bought 17 tons of hay for $1873; what is the cost of $ of a ton? 1477 of Ans. $7.61-253-. 5. Bought a hogshead of molasses for $137; what cost it? What cost? What cost? 6. When $37 are paid for 100 gallons of molasses, what cost of a gallon? 7. When 12 cents are paid for what will 487 gallons cost? Ans. $30.521. Ans. $0.2143. of a gallon of molasses, Ans. $16.0119. 8. If of a barrel of flour cost $32, what will 63 barrels cost i Ans. $48111 Ans. $414. 9. When $236 are paid for 11 acres, what will be paid for 20,7 acres? 10. Paid in Liverpool 974£. for 3 bales of cloth; how many bales should be received for 10733£. ? Ans. 33 bales. 11. If 63 barrels of flour cost $48111, what will of a barrel cost? Ans. $3.284. 12. If 3 pounds of coffee cost 34 cents, what sum must be paid for 74 pounds? Ans. $6.90. 13. If 25 tons of hay cost $63, what will be the cost of 164 tons? Ans. $38113. 14. If a piece of land 3 rods square cost $174, what will be the cost of 4 square rods? Ans. $7. 15. Paid $314 for 2gcwt. of iron; required the sum to be paid for 689cwt. Ans. $76809. 16. For 6 cords of wood J. Holt paid $63; what sum must be paid for 18 cords? Ans. $170.10. 17. Gave $243 for 96 barrels of tar; what quantity could be purchased for $1000? Ans 394133 barrels. ? 18. Paid $7888.30 for 83 acres of wild land; what sum did I pay for each acre, and what would be the cost of 7 acres Ans. $660.80. 19. Gave 132£. 12s. for 73 tons of starch; what cost 127 tons? Ans. 224£. 5s. 20. For 17 days' work I paid $25.44; what should be paid for 89 days' labor? Ans. $128.64. 21. Sold 77 bushels of apples for $7.28; what should I receive for 1911 bushels? Ans. $19.12. 22. Paid $4355.52 for 499 pieces of carpeting; what did 374 pieces cost? Ans. $3294.72. 23. If of of the cost of the Capitol at Washington was $300,000, what was the whole cost? Ans. $2,000,000. 24. Purchased 76 thousand of boards for $135.80; what must be paid for 193 thousand? Ans. $359.45. 25. My wood-pile contains 6 cords and 76 cubic feet. If I dispose of of it, what is the value of the remainder at 44 cents per cubic foot? Ans. $23.1434. 26. I have a field 30 rods square, and having sold 18 square rods to S. Brown, and 82 square rods to J. Smith, what part of the field remained unsold? Ans.. 27. Bought 7T. 12cwt. 3qr. 18lb. of iron, and having sold 3T. 18cwt. 1qr. 20lb., what is the value of of the remainder at 5 cents per lb.? Ans. $242.59. 28. Bought 37 tons of iron at $68.50 per ton, for 3 of which I paid in coffee at $8.50 per cwt., and for the remainder I paid cash. Required the amount of cash paid, and also the value of the coffee. Ans. Cash, $633.621; Value of the coffee, $1900.87. 29. A man, having received a legacy of $7896, spent of it in speculations, and the remainder he put in the savings bank, where it continued 15 years. It was then found that the sum deposited had doubled. Required the sum in the bank. Ans. $3948. 30. Bought a piece of broadcloth for $88, and sold of it to J. Smith, and of the remainder to O. Lake; what is the value of the part unsold? Ans. $37.49%. 31. A gentleman gave of his estate to his wife, of the remainder to his oldest son, and of what then remained to his daughter, who received $750; required the whole estate. Ans. $12,000. 32. From an acre of land I sold two house-lots, each 100 feet square; what is the value of the remainder, at 8 cents per square foot? Ans. $1884.80. |