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(6) 428 days 6 hrs. I min. 40 sec. ÷ 25; 3207 wks. I day

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(7) 3674 gals. I pint÷ 247; 279 qrs. 5 bus. 1 pk. 1 gal. 3 qts.

253.

(8) 14335 qrs. 2 bus. I qt. 4175; 38047 kilometres 311 metres

÷ 8793.

(9) 33 kilo. 721 litres 16 centilitres 9746; 34442 hectares 56 ares ÷ 4736.

(10) 40 milliers 573 kilograms 720 grams 8888; 423 kilo

798573

grams Answers. (6) 17 dys. 3 hrs. 7 min. 16 sec.; (7) 14 gals. 3 qts. I pt.; I qr. 3 pks. 3 qts.

27 wks. 4 dys. 13 hrs.

(8) 3 qrs. 3 bus. I pk.

1 gal. 3 qts.; kilo. 327 metres. (9) 3 litres 46 centilitres; 7 hect

ares 2 decares 7 ares 25 centiares.

529 milligrams, 554883 remainder.

(10) 4 kilograms 565 grams;

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Ans. 60543.

Ans. 13827.

Ans. 11613.

Ans. 4257.

(3) £756 158. 9d. to threepences.
(4) £345 138. 6d. to sixpences.
(5) £725 168. 3d. to fifteenpences.

(6) £425 148. to florins.

(7) £423 148. 3d. to threehalfpences. (8) £869 178. 9d. to threehalfpences. (9) £756 118. 10d. to threefarthings. (10) £27 138. 4d. to six and eightpences. (11) £129 68. 8d. to three and fourpences. (12) £27 16s. 3d. to fifteenpences.

Ans. 67794.
Ans. 139182.

Ans. 242110.
Ans. 83.

Ans. 776.

Ans. 445.

(13) £75 11s. 8d. to twentypences.

Ans. 907.

(14) £47 178. 4d. to sixteenpences.

Ans. 718.

(15) 2 tons 7 cwt. 2 qrs. to half-hundredweights.

Ans. 95.

(16) 23 cwt. 3 qrs. 14 lbs. to stones.

Ans. 191.

(17) 14 cwt. 2 qrs. 21 lbs. to half-stones.

Ans. 235.

(18) 25 cwt. 3 qrs. 24 lbs. to four-pound weights.

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(22) 132 fourpences to £ s. d.
(23) 813 threehalfpences to £ s. d.
(24) 341 half-crowns to £ s. d.
(25) 5032 six and eightpences to £ s. d.
(26) 323796 fifteenpences to £ s. d.
(27) 24435528 threefarthings to £ s. d.
(28) 5473 half-yards to miles, &c.

Ans. £2 48.

Ans. £5 1s. 7d.

Ans. 42 12s. 6d. Ans. £1677 6s. 8d. Ans. £20237 58. Ans. £76361 os. 6d.

Ans. 1 mile 4 fur. 96 yds. 1 ft. 6 in.
Ans. 8 tons 18 cwt. 12 lbs.

(29) 4987 four-pounds to tons, &c.
(30) 84568 five-pennyweights to lbs. Troy. Ans. 1761 lbs. 10 oz.
(31) 9632 quarter-minutes to days, &c.
(32) 98753 half-stones to tons, &c.

How many times does

Ans. 1 day 16 hrs. 8 min. Ans. 308 tons 12 cwt. 7 lbs.

EXERCISE XXVI.

(1) £20237 5s. contain £8 5s.?

(2) £619 15s. 6d. contain £47 13s. 6d. ?
(3) £7934 IIS. contain £67 16s. 4d.?
(4) £12075 contain £95 16s. 8d.?

(5) £417597 2s. 6d. contain £375 17s. 6d.?
(6) £95 6s. 3d. contain £3 16s. 3d. ?

Ans. 2453. Ans. 13.

Ans. 117.

Ans. 126.

Ans. IIII. Ans. 25.

(7) 49 tons 7 cwt. contain 1 ton 3 cwt. 2 qrs.?

Ans. 42.

(8)

II tons 4 cwt. 3 qrs. 20 lbs. contain 3 cwt. I qr. 12 lbs. ?

Ans. 67.

(9) 2 miles 76 yds. contain 14 yds. 1 ft. 6 inches ?
(10) 1221 wks. 3 days 12 hrs. contain 3 wks. 3 days 12 hrs.?

Ans. 248.

Ans. 349.

EXERCISE XXVII.

MISCELLANEOUS.

1. If £1844 28. 8d. be divided equally amongst 49 persons, how much will each receive? Ans. £37 12s. 8d.

2. Find the number of yards in 42 pieces of cloth, each containing 40 yards 30 inches, and then reduce the result to ells of 5 quarters each. Ans. 1715 yds. 1372 ells.

3. Divide 140 weeks 3 days 14 hrs. by 100.

Ans. I wk. 2 days 20 hrs. 3 min. 36 sec. 4. How much income must a person have, if he spends at the rate of £2 5s. 6d. a day, and lays by £350 a year? Ans. £1180 7s. 6d.

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5. Amongst how many men must £7816 be divided, so that each may receive £325 13s. 4d.? Ans. 24.

6. A ship captured in war was sold for £3365; the average amount of prize-money was £5 12s. 2d. What was the number of the capturing crew? Ans. 600. 7. How many pounds of tea at 4s. 2d. per pound, can be bought for £12 10s.?

Ans. 60. 8. If 12 rupees, 3 florins, 6 half-crowns amount to £2 8s., what is the value of a rupee? Ans. 28. 3d. 9. If 50 quarters of wheat are sold at 77s. 10d. a quarter, and 100 qrs. at 78s. 4d., what is the average price per bushel ?

Ans. 98. 94d. 10. If 151 yds. of cloth are sold for £73 18s. 63d., what is the price per yard? Ans. 98. 93d. 11. What will be the entire cost of 12 dozen of Port at 48s. a dozen, 15 doz. of Sherry at 52s., and 9 doz. of Madeira at 56s., the bottles being charged 2d. each extra? Ans. £96 128.

Ans. 61.

12. How many yards of silk can be bought for £13 1s. 9žd. at 48. 3 d. a yard ? 13. How many times is 3 cwt. 2 qrs. 27 lbs. 15 oz. contained in 4 tons 13 cwt. 2 qrs. 26 lbs. 7 oz.? Ans. 25.

14. A waggon loaded with 217 equal parcels weighs 2 tons 2 cwt., and the waggon itself weighs 18 cwt. 3 qrs. ; find the weight of each parcel.

Ans. 12 lbs.

15. How many farthings are there in 5 half-sovereigns, 5 halfcrowns, 5 sixpences, and 5 halfpennies ? Ans. 3130.

16. How many times is 2s. 3d. contained in 18s. 4d.? Ans. 8. 17. Divide 18 miles 3 fur. 23 poles 1 yd. 2 ft. 6 in. into 35 equal distances.. Ans. 4 fur. 8 pls. 3 yds. 2 ft.

18. The number of votes polled in all by two candidates at an election was 2163, and the majority of the successful candidate was 195. What number did each candidate poll? Ans. 1179, 984.

19. If 4 thalers, 12 dollars, 10 florins, 3 guineas amount to £7 28., and a dollar is worth 4s. 2d., what is the value of a thaler ? Ans. 28. 3d.

20. A grocer gave £20 for 8 cwt. I qr. 9 lbs. of sugar, and lost £4 98. by retailing it; at what price did he sell it per lb.?

Ans. 4d.

21. Divide £6595 4s. 8d. equally amongst 44 persons.

Ans. £149 17s. 10d. 22. The weekly wages of 36 men amount to £28 16s.; what are the wages of one man, and of 60 men ? Ans. 16s., £48. 23. What is the number nearest to 71729 which is exactly divisible by 420? Ans. 71820. 24. How much coal is burnt by 12 fires in 27 weeks, each fire consuming I cwt. I qr. 14 lbs. weekly? Ans. 22 tons 5 cwt. 2 qrs.

25. A man sells 40 kilograms for 320 francs, and gains 2 francs a kilogram; what was the cost per kilogram?

Ans. 6 francs. 26. I buy 15 metres of cloth at 3 florins a metre, and pay a fivepound note for them. What change do I receive?

Ans. 5 florins. 27. A wheel makes twelve turns a second; how many turns will

I

it make in 2 hrs. 3 min. 14 sec.? Ans. 88728. 28. I buy a kilogram for £91 5 fl., and retail it at 1 fl. a gram; what is my profit ? Ans. £8 5 fl. 29. It requires a decalitre of seed for 3 ares of land; how much will 144 hectares require ? Ans. 48 kilolitres. 30. A sum of £8 4 fl. has been paid by an equal number of crowns and florins. What is this number?

Ans. 24.

31. Find the value of 12 lbs. I oz. 16 dwt. 16 grs. of copper coin, when 12 penny-pieces weigh 7 oz. 5 dwt. 20 grs. Ans. £1.

32. The price of a book which comes out in numbers is £2 16s. 8d.; but if the price of each number were increased by 13d., the price of the book would be £3 7s. 6d. How many numbers are there? Ans. 10. 33. What is the unit of measurement when a league contains 240 units ? Ans. I chain or 22 yards. 34. If a grocer mixes 5 cwt. of sugar at 52s. per cwt., 3 cwt. at 48s., 8 cwt. at 36s., what ought he to charge for a cwt. of the mixture, so as to gain £1 128. on the whole? Ans. £2 5s. 3d.

35. A person exchanged 267 guineas for money of the present coinage, and what could not be paid in gold was paid in farthings; how many of these did he receive? Ans. 336.

36. A man contracts to perform a piece of work in 30 days, and immediately employs upon it 15 men; at the end of 24 days only half the work is done. Required the additional number of men necessary to fulfil the contract. Ans. 45.

37. If 9 rupees, 6 crowns, II threepenny-pieces amount to £2 13s., what is a rupee? Ans. 28. 3d. 38. A person rows 3 miles and back again on still water in an hour; how long would he have been if there were a stream of 3 miles an hour? Ans. 1 hour 20 min. 39. By the reduction of the Income Tax from 7d. to 5d. a person saves £28 2s. 6d. a year; what was his income? Ans. £3375. 40. If 21 members of a whist club agree to divide their losses and gains equally, and 8 of them win 9 guineas each, and 13 of them lose 5 guineas each, what did each win or lose?

Ans. Each won 78. 41. Supposing each penny in the pound of the Income Tax to yield £1,250,000 to the revenue, what is the assessable income of the country ? Ans. £300,000,000. 42. In a new company there are 2562 shares; how much must be paid on each share to raise £8967 ? Ans. £3 10s. 43. A man's income is £550; he has paid Income Tax on £330, at the rate of 5d. in the pound; at what rate must he pay on the remaining £220, so as to pay at the rate of 9d. on his whole income? Ans. 15d.

44. What is the income of a man who pays an Income Tax of £60 138. 11 d., at the rate of 10d. in the pound? Ans. £1456 15s. 45. The population of England in 1841 was 14,995,132, and in 1851, 16,854,142; what was the average annual increase?

Ans. 185,901.

46. The distance from England to Newfoundland is 2996 miles, and 7 miles are equal to 6 knots; how long will a steamer be passing from England to Newfoundland at the rate of 8 knots an hour? Ans. 13 days 9 hours. 47. Find the distance from Liverpool to New York, if a steamer performs the voyage in 10 days 16 hours, at the rate of 10 knots an hour. Ans. 3136 miles. 48. The posts of a telegraph by the side of a railway are placed 60 yards apart; find the rate of a train per hour which passes II posts in 25 seconds. Ans. 54 miles. 49. How many stones of sugar, at 7s. 54d. a stone, must be given in exchange for 126 lbs. of tea at 2s. 5 d. per lb. P Ans. 42.

50. If 300 eggs be bought at 3 a penny, and 300 more at 2 a

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