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 of a barrel cost? Ans. $2.34. 3. If a load of hay cost $17.84, what will of a load cost? Ans. $ 15.61. of wheat, what is the 4. If $786.63 are paid for a cargo cost of of the cargo? 5. What is 6. What is 7. What is of $87.50 ? of 17£. 18s. 9d. ? of 3T. 16cwt. 3qr. 23lb. ? Ans. 2T. 3cwt. 3qr. 254lb. 8. What is of 27A. 3R. 33p.? Ans. 12A. IR. 28p. 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, 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. of a ton of hay, what will Ans. $17.80. 12. When 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 11⁄2 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. Oąd.; what would have been the cost of the whole bale? 11. When $15.571⁄2 are paid for 1 ton cost? Ans. 17. 18s. 9d. 15. If of an acre produce 18cwt. Oqr. 12lb. of hay, what quantity will a whole acre produce? Ans. 76cwt. 3qr. 23lb. 16. Bought of a lot of land containing 12A. 1R. 307p.; what were the contents of the whole lot ? Ans. 27A. 3R. 394p. 17. If of a ton of potash cost $80.20%, 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 7 of a cwt. ? ILLUSTRATION. If of a cwt. cost $5.40, will cost of $5.40, equal to $1.80; and, or a cwt., will cost 4 times $1.80, equal to $7.20. Now, if lcwt. cost $7.20, of a cwt. will cost of $7.20, equal to $0.80; and will cost 7 times $0.80, equal to $ 5.60, Ans. 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 of an acre of land, what cost of an acre? Ans. $93.33. of a carding-mill are worth $ 631.89, what are Ans. $401.20. 22. If of a ship and cargo are valued at $ 141.52, what are 2 of them worth? Ans. $30.50. 23. If the value of of a farm containing 1787 acres is $1728, what is the price of of the remainder? 21. If of it worth? Ans. $2304. 24. E. Carter's garden is 17 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 7 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 93cwt. there are 52cwt.; and if lcwt. cost $4.02, fcwt. 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. $24.673. 29. Paid 37 £. 18s. 10d. for 3 bales of velvet; what was the cost of 5 bales? Ans. 67£. 19s. 611d. what was the price Ans. $156.574. what must be given Ans. $789. 30. Gave $40 for 5 yards of broadcloth; of 194 yards? 31. Paid $360 for 20 barrels of beer; for 43% barrels ? 32. If 7 bushels of rye cost $ 8.75, what cost 187 bushels? Ans. $23.29. 33. Paid $19.80 for 3 yards of broadcloth; what sum must be given for 11 yards? Ans. $76.374. 31. If 9gcwt. 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 8, 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. 126 cwt. tons of potash cost $276.18, what will be the value Of 75 tons? Ans. $ 6041.432. 36. If 3 of 1 ton? 37. If 7 acres of land cost $875, what will one acre cost? What will 75 acres cost? Ans. $8912.03. 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 1 acre ? What cost 69 acres? Ans. 932.43. What Ans. $262.50. 41. If 7cwt. of sugar cost $62.37, what will lcwt. cost? What cost 19cwt. ? Ans. $160.93. 40. If 43 tons of hay cost $ 80.50, what costs 1 ton? cost 15 tons ? 42. If 7 yards of cloth cost $ 13.95, what will be the value of 11 yards? ILLUSTRATION. In 7 yards there are 1 of a yard. If 1 of a yard cost $13.95, will cost of $ 13.95, equal to $0.45; and, or 1 yard, will cost 4 times $ 0.45, equal to $1.80. In 11 yards there are 183 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 19 tons of iron, what will be the cost of 37 tons? Ans. $3288. 45. Paid $112 for 1128 feet of boards; how many could I have purchased for $119? Ans. 11480 feet. 46. For 3 tons of potash I received 116cwt. of sugar; required the quantity of sugar that may be received for 11 tons of potash. Ans. 376cwt. 47. For 11 tons of potash I received 376cwt. of sugar; acres, what would be Ans. 3457.30. required the quantity of sugar that should be received for 3ğ Ans. 116cwt. tons. 48. When $8 are paid for 12 yards of broadcloth, how much must be given for 8 yards? Ans. $49. 49. Gave $414 for 20 for 11 acres? acres of land; MISCELLANEOUS QUESTIONS BY ANALYSIS. ' of it? For 1. Sold a small farm for $ 896.50; what was received for of it? For of it? Ans. $815. 2. Gave $17 for 3 barrels of flour; what cost 1 barrel? What 37 barrels ? Ans. $213.03. 3. Sold a house for $3687; what sum was received for of it? Ans. $3226.12. 4. Bought 17 tons of hay for $1873; what is the cost of of a ton? Ans. $7.612537. $137; what cost Ans. $30.521. 5. Bought a hogshead of molasses for of it? What cost? What cost 1? 6. When $37 what cost of a gallon? 7. When 12 cents are paid for what will 4873 gallons cost? what shall be given Ans. $236. 8. If of a barrel of flour cost $32, are paid for 100 gallons of molasses,Ans. $ 0.214. gallon of molasses, Ans. $16.011. what will 63 barrels Ans. $ 48111. of a acres, what will be paid Ans. $414. cloth; how many Ans. 33 bales. what will of a Ans. $3.284. pounds? 12. If 3 pounds of coffee cost 34 cents, what sum must be paid for 74 Ans. $6.90. be the cost of 16 Ans. $38113. $17, what will 13. If 25 tons of hay cost $ 63, what will tons ? Ans. $7. required the sum to be Ans. $76809. $63; what sum Ans. 170.10. paid 16. For 6 cords of wood, J. Holt must be paid for 18 cords? 17. Gave $243 for 96 barrels of tar; what quantity could be purchased for $1000 ? Ans. 394133 barrels. cost? 9. When $236 are paid for 11 for 20 acres ? 10. Paid in Liverpool 974£. for 3 bales of bales should be received for 10733£. ? 11. If 63 barrels of flour cost $48111, barrel cost? 14. If a piece of land 3 rods square cost be the cost of 4 square rods? 15. Paid $314 for 2gcwt. of iron; paid for 689cwt.? 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. what should I reAns. $ 19.12. 21. Sold 77 bushels of apples for $7.28; ceive for 1911 bushels? 22. Paid $4355.52 for 499 pieces of carpeting; what did 37 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 7 thousand of boards for $135.80; what must be paid for 192 thousand ? Ans. $359.45. 13 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. $23.143. 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.. iron, and having sold of g of the remainder Ans. $271.7133. 27. Bought 7T. 12cwt. 3qr. 18lb. of 3T. 18cwt. 1qr. 20lb., what is the value at 53 cents per lb. ? 28. Bought 37 tons of iron at $ 68.50 per ton, for 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, $633.62; 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 19 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. |