3. Bought 7 yds. 3 qrs. of cloth, for £7 15s. value of 46 yds. 2 qrs., at the same rate? What is the : 7 15 :: 46 2 20 4. Bought 1320 lbs. of cotton, at 73d. per lb.; to what does it come? 5. Bought 33 yards of cloth for £1 13s. 9d.; what is the value of 72 yards, at the same rate? 1. What is the value of 4 cwt. 2 qrs. of sugar, at £1 15s. 6d. per cwt ? 2. What is the value of 5 cwt. 2 qrs. £1 15s. 6d. per cwt? Ans. £7 19s. 9d. 14 lbs. of sugar, at Ans. £9 19s. 81d. 3. Bought 27 yards 3 qrs. 2 nails, at what does it come? 4. Bought 45 E. ells, 2 qrs. 2 nails of ell; to what does it come? 5. Bought 27 Flemish ells 2 qrs. of yard; to what does it come? 6s. 9d. per yard; to Ans. £9 8s. 13d. cloth, at 12s. 6d. per Ans. £28 8s. 9d. silk, at 4s. 91d. per Ans. £4 19s. 5d. 6. What is the value of 3 ends of cloth, each containing 23 yards, at 9s. 8d. per yard? Ans. £34 8s. 9d. 7. What is the value of 26 French ells 5 qrs., at 8s. 6d. per yard? Ans. £17 3s. 91d. 8. What is the value of 12 qrs. 3 bushels 1 peck of wheat, at £3 12s. 6d. per quarter? Ans. £44 19s. 5 d. 9. Bought 3 yards of cloth for £2 6s. 6d. ; what is the value of 23 yards of the same? Ans. £18 8s. 1d. N.B. The pupil may now solve, by this rule, the questions given under the last case in Practice. 10. Bought 2 qrs. 14 lb. of soap for £1 it cost per Ib? 11. Bought 15 cwt. 2 qrs. 7 lb. for £54 the value of 1 cwt. ? Ans. 6d. 18s. 1d.; what did 12. Bought 25 Flemish ells of cloth for what is the value of 1 yard? £15 15s. 6d. ? Ans. 16s. 9 d. 13. Bought 3 pieces of cloth, containing 72 yards 2 qrs. 2 nails, for £45 12s. 6d. ? what is the value of 1 yard? Ans. 12s. 6d. 14. Bought 23 cwt. 18 lb. of sugar, for £109? what is the value of 1 cwt.? Ans. £4 14s. 1±d. 15. Bought 3 pieces of cloth, each containing 23 yds. 2 qrs. 2 nails, for £50 12s.; what is the value of 33 yards? Ans. £2 13s. 6d. 16. What is the value of 23 yards 2 qrs. 2 nails of cloth, Ans, £16 17s. 3 d. 7 lb. of hay, at 73d. Ans. £6 1s. 8 d. 6d. ; what is the Ans. £27 12s. 6d. 16s. 3d.; what is Ans. £2 3s. 9d. 1s. 3d.; what is Ans. £30 17s. 2 d. if 3 yards 3 qrs. cost £2 13s. 6žď. ? 17. What is the value of 23 cwt. 2 qrs. per stone? 18. Bought 27 yards of cloth, for £2 17s. value of 27 yards? 19. Bought 27 yards of cloth for £13 the value of 4 yards? 20. Bought 3 qrs. 14 lbs. of sugar for the value of 8 cwt 3 qrs. 74 lb. £3 21. Bought 17 cwt. 2 qrs. 15 lb. of wool for £61 14s. 43d.; what is the value of 1 qr. 21 lb. of the same? Ans. £1 10s. 7 d. 22. Bought 9 tons 13 cwt. 3 qrs. 19 lb. for £143 7s. 7d.; what is the value of 30 cwt.? Ans. £22 3s. 7 d. 23. Bought 15 cwt. for £11 1s. 94d.; what is the value of 48 cwt. 1 qr. 25 lb. ? Ans. £35 16s. 10 d. 24. Bought 7 oz. 11 dwts. of silver plate for £3 7s. 5d.; what is the value of 2 oz. 10 dwts. 8 gr. of the same? Ans. £1 2s. 5ąd. 25. What is the value of 37 cwt. 2 qr. 14 lb. of hay, at £4 15s. 6d. per ton? Ans. £8 19s. 73d. 26. Bought 10 hhds. of sugar, each containing 8 cwt. 3 qr. 14 lb., at 7s. 6d. per stone. To what does it come? 27. Bought 37 yards of cloth for £1 value of 57 yards? 28. Bought 37 yards of silk for £6 value of 1 English ell? Ans. £266 5s. 18s. 9d.; what is the 3s. 29. Bought 35 yards of cloth for £3 4s.; of 25 yards? 30. Bought 79 yards of silk for £13 value of 13 yards? 31 Bought 357 lbs. of cotton for the value of 135 lbs. ? £6 £28 16s. 3d. 4d.; what is the Ans. 4s. 2d. what is the value Ans. £22 10s. 8s. 9d.; what is the Ans. £2 3s. 10 d. 10s. 17d.; what is Ans. £2 9s. 2 d. situation on the 5th of 32. If a servant girl enter to her Nov; how much will she have due for wages this day, April 27th, at 8 guineas per annum ? Ans. £3 19s. 74d. 33. My servant, who has 22 guineas per annum, entered to his situation on the 12th of July last; how much is due for wages on Christmas day following, supposing he had drawn on account 3 guineas? Ans. £6 16s. 74d. 34. A person fails in £635 debt, and he has only £105 16s. 8d. to pay it with. How much will he pay in the pound, and what sum shall I receive for my debt of £56 18s. 6d. ? Ans. 3s. 4d. in the pound; £9 9s. 9d. the sum. 35. A person became bankrupt, his debts amounted to £7,568 18s., and his assets, after deducting expenses, to £946 2s. 3d. How much will this person pay in the pound, and what sum shall I receive for my debt of £100? Ans. 2s. 6d. in the pound; £12 10s. the sum. 36. A person became bankrupt, his debts amounted to £3,566 5s., his assets to £913 5s. Now, the different expenses in working the commission, &c. amounted to £200, which are to be paid out of the assets. What will this person pay in the pound, and what shall I receive for my debt of £70; also, what sum shall I lose by this person? Ans. 4s. in the pound; £14 sum received; £56 loss. 37. What is the value of 3 tons 12 cwt. 2 qr. of oil, at £34 Ans. £121 14s. 630 per ton? N.B. 2268 lbs. make 1 ton of oil. 38. If a gentleman's income be £488 5s. per annum; how much may he spend per day, and lay up 100 gs. annually. Ans. £1 1s. 39. If a gentleman's estate be worth £564 12s. per annum, and he be rated at 3s. 9d. in the pound for land tax-what is his neat income? Ans. £458 14s. 9d. RULE OF THREE INVERSE. RULE OF THREE INVERSE, or Inverse Proportion, is, when more requires less, or less more. More requires less, when the third term is greater than the first; and less requires more, when the third term is less than the first. RULE.-State the question, as in Direct Proportion, and reduce the numbers or quantities as therein stated; then multiply the first and second terms together, and divide the product by the third, and the quotient will be the answer to the question in the same denomination the second term was left in. Or, by the general rule, given in the Rule of Three Direct. EXAMPLES. 1. If 4 men can mow a field in three days, how many days will it take 6 men to do the same? NOTE.---Here more requires less, that is, 6 men require less time to mow the grass than 4 men do; consequently, the fourth term will be less than the second. 2. How much cotton that is 14 yards wide, will it take to line 12 yards of cloth, that is 1 yards wide? yd. qr. 4 NOTE.---In this question less requires more, that is, less width requires a greater length; consequently, the fourth term will be greater than the second. |