21. If 273 oz. cost £73, 7s. 44d., what cost 3 oz.? Ans. 16s. 1d.

22. If 95 pk. cost £6, 2s. 8d., what cost 19 pk.? Ans £1, 4s. 6d.

23. If 77 pk. cost £3, 158.43d., what cost 37 pk.? Ans. £1, 16s. 23d.

24. If 145 pk. cost £6, 38. 101d., what cost 11 pk.? Ans. 98. 42d.

25. What cost 3 cwt. 1 qr. 17 lb., when 6 cwt. 3 qr. 6 lb. cost £27, 148. 8d.? Ans. £13, 178. 4 d. 26. What cost 20 cwt. 2 qr. 3 lb., when 1 cwt. 3qr. 13 lb. cost £11, 16s. 24d.? Ans. £129, 188.0ad.

27. What cost 41 cwt. I qr. 6 lb., when 4 cwt. 2 qr. 10lb. cost £12, 158.43d.? Ans. £114, 188. 6d. 28. What cost 4 lb. 5 oz. 8 dr. of flour, when 30 lb. 6 oz. 8 dr. cost 4s. 92d.? Ans. 84d. 29. What cost 1 lb. 2 oz. 3 dr. of indigo, when 7 lb. 15 oz. 5 dr. cost 16s. 94d.? Ans 2s. 4 d. 30. What cost 59 oz. 14 dwt. 19 gr. of silver plate, when 1 oz. 12 dwt. 7 gr. cost 9s. 71⁄2d.? Ans. £17, 168. 1d.

31. A silver tankard, weighing 1 lb. 7 oz. 15 dwt., cost £8, 4s. 2d., what cost 70 lb. 9 oz. 5 dwt. of silver at the same rate? Ans. £352, 19s. 2d. 32. If 1 yd. 1 qr. 1 nl. of linen cloth cost 2s. 7 d., what will be the price of a web measuring 132 yd. 2 qr. 1 nl.? Áns £13, 3s. 01d.

33. If 6 yd. 3 qr. 2 nl. of cloth cost £8, 7s. 74d., what should I pay for 1 yd. 1 qr. 2 nl.? Ans. £1, 138. 6d.

34. If 1 yd. 2 qr. of superfine cloth cost £1, 178. 6d., what cost a piece of the same kind 66 yd. 3 qr. in length? Ans. £83, 88. 9d.

35. What is the yearly rent of a farm containing 200 ac. 1 ro. 10 po. at £2, 28. per acre? Ans. £420, 138. 1d.

36. Find the annual rent of a farm containing 436 ac. 3 ro. 18 po. at £2, 10s. per ac.?

£1092, 38. 1d.

Ans.

37. The upset price of an estate containing 2171 ac. 3 ro. 36 po. is £122,200; what will 167 ac. 0 ro. 12 po. cost? Ans. £9400.

38. The upset price of an estate, consisting of 2688 ac., is £60,312; what is that per acre? Ans. £22, 8s. 9d.

39. If 1 pk. of meal cost 10 d., what cost 59 qr. 5 bush. 2 pk.? Ans. £83, 11s. 3d.

40. If 1 qr. 5 bush. 3 pk. cost £1, 17s. 6d., what cost 97 qr. 7 bush. 3 pk.? Ans. £106, 17s. 6d.* 41. If 60 qr. 4 bush. cost £101, 1s. 8d., what is that per qr.? Ans. £1, 13s. 5d.

42. What cost 100 pints of whisky at 3d. per gill? Ans. £5, 16s. 8d.

43. What cost 15 galls. 3 qts. 1 pt. 2 gills at 98. 4d. per gal.? Ans. £7, 8s. 9d.

44. What is the value of 1000 gals. of rum at 18s. 6d. per gall.? Ans. £925.

45. In what time will a traveller accomplish a journey of 26 miles, when he walks at the rate of 1 mile in 17 min. ? Ans. 7 h. 22 min.

46. If 14 men perform a piece of work in 5 weeks, working 10 hrs. a-day, in what time will 24 men perform it? Ans. 2 wk. 5 da. 5 hr.

47. If 28 persons reap a harvest in 33 da., in what time will 84 persons reap the same? Ans. 11 days.

48. A house was built by 30 men in 8 months, another of the same size and workmanship must be finished in 2 mo. 2 wk.; how many men must be employed? Ans. 96 men.

49. In what time will a weaver finish his web of 142 yd., when he throws off 24 yd. in a day of 13 hr.? Ans. 5 da. 11 hr. 55 min.

50. If the penny loaf weighs 8 oz. 5 dr., when wheat is at 7s. 8d. per bush., what ought it to weigh when wheat is at 6s. 4d. per bush.? Ans. 10 oz. 1 dr.

51. What is wheat per bush., when the penny loaf is only 2 oz. 10 dr., supposing it to weigh 7 oz. 14 dr., when wheat sells at 7s. 6d. per bush.? Ans. £1, 2s. 6d.

52. If I have a right of common for 28 sheep 56 days, how many sheep may I turn in for 49 days? Ans. 32.

53. The annual business of a grocer averages £1800, what does he gain per annum at the rate of 24d. of profit per shilling? Ans. £375.

54. If 100 yds. of cloth cost £20, 9s. 4d., how many yds. may be bought for 6s. 4åd.? Ans. 1 yd. 2 qr. I nl.

55. If 1 cwt. of raisins cost £3, 10s., what cost 4 casks, each weighing 1 cwt. 2 qr. 16 lb. ? Ans. £23.

56. If 1 dwt. of gold cost 4s., what cost 6 pieces each 2 lb. 3 oz.? Ans. £648.

57. If 1 oz. 15 dwt. of silver plate cost 9s. 74d., what cost 5 salvers, each weighing 4 lb. 10 oz. 16 dwt.? Ans. £80, 17s.

58. What is the price of 20 cheeses, each 15 lb., 4 oz. at 6 d. per lb.? Ans. £8, 11s. 6d.

59. What will a tax on £900 amount to at the rate of 2s. 6d. per pound? Ans. £112, 10s.

60. If a tailor can make a coat and vest with 3 yd. 3 qr. of cloth, which is 1 yd. 2 qr. broad, how many yds. will he require to make the same when the breadth is only 3 qr.? Ans. 7 yd. 2 qr.

61. How many yds. of paper that is 3 qr. wide will hang a room whose circumference is 60 ft. and height 12 ft.? Ans. 106 yd. 2 ft.

62. A garrison consisting of 1764 men being besieged, have provisions for 12 days only, how many men can be kept upon the same provisions, if the siege should last for 3 wks.? Ans. 1008 men. 63. What cost 650 pieces of cloth, each 47 yd., at 158. 6d. per yd.? Ans. £23,676, 58.

I

64. If 8 shares of a ship cost £700, what must pay for 3 shares? Ans. £262, 10s.

65. If the carriage of 2 cwt. 2 qr. 7 lb. for 48 miles be £1, what distance may 7 cwt. 2 qr. 21 lb. be carried for the same money? Ans. 16 miles.

66. If the daily expenses of the inhabitants of Edinburgh be £6480, 19s. 7d. for maintenance, how much will support them 5 years? £11,827,786, 19s. 7d.

COMPOUND PROPORTION.

Ans.

Compound proportion teaches from five given numbers to find a sixth, or from seven to find an eighth, &c.

To find the sixth term, &c.

RULE.-Make that number which is of the same kind as the number sought, the third term; then take any two given numbers, both of a kind, and state them as in simple proportion, next take other two numbers, both of a kind, and state them as before; if any more numbers remain, proceed in the same manner.-Multiply the product of the second terms by the third term, and divide the number thus produced by the product of the first terms, the quotient is the sixth term in the same name as the third.

NOTE. Each pair of similar terms must be reduced to the same name. If any of the first terms, and either the third or any of the second terms, are divisible by the same number, the work may be abridged by dividing them both by it.

EXERCISES.

1. Suppose 3 bush. of wheat serve 8 persons for 4 days, how many bush. will serve 36 persons for 133 days? Ans. 128 bush. 1 pk

2. If a quantity of provisions maintain 1300 men 20 weeks, at the rate of 14 oz. a-day to each man, how many men will the same provisions sustain for 32 weeks, at the rate of 7 oz. per day each ? Ans. 1625 men.

3. If a regiment of 654 soldiers consume 117 qrs. of wheat in 45 days, in what time will 13,080 soldiers consume 468 qrs.? Ans. 9 days.

4. If a quantity of provisions serves 750 men for 10 weeks, at the rate of 18 oz. a-day to each man, how long will triple the quantity serve 1400 men, at an allowance of 15 oz. a-day each? Ans. 19 weeks 2 days.

5. If 130 bush. of oats serve 12 horses for 66 days, how many horses will 260 bush. maintain for 48 days? Ans. 33 horses.

6. If £1, 9s. be the wages of 3 men for 4 days, required the wages of 15 men for 18 days? Ans. £32, 12s. 6d.

7. If the wages of 15 men for 18 days be £32, 12s. 6d., in what time will 3 men gain £1, 9s.? Ans. 4 days.

8. If 3 men earn £1, 9s. in 4 days, how many men will earn £32, 12s. 6d. in 18 days? Ans. 15

men.

9. If the carriage of 3 cwt. 2 qr. for 14 miles be 3s. 4d., what should be paid for the carriage of 10 cwt. 2 qr. for 49 miles? Ans. £1, 15s.

10. If £200 would pay 5 naval officers for 22 weeks 6 days, in what time would 12 such officers draw £300? Ans. 14 weeks 2 days.