30. The weight of a bar of iron 2ft. long, 3in. broad, and 1 in. thick, is 20 lbs., what is the weight of a similar bar 7 ft. long, 4 in. broad, and 31⁄2 in. thick? Ans. 3932 lbs. 31. If I pay £14 10s. for carriage of 60 cwt. 20 miles, what weight can I have carried 30 miles for £5 8s. 9d. at the same rate? Ans. 15 cwt. 32. If 23 oxen consume 8 acres of pasture in 26 days, and 25 oxen consume 7 acres of the same in 20 days, the grass growing uniformly, how many acres of it would 33 oxen consume in 5 days? Ans. 28a 33. If 60 men dig a trench 90yds. long, 7yds. wide, and 3 ft. 9 in. deep, in 7 days of 8 hours each, how deep a trench can 94 men dig if it be 84 yards long, and 17 wide, in 8 days of 7 hrs. each. Ans. 2ft. 77in. 34. If 16 men in 11 days mow 315 a., how many men will it take to mow 225 acres in 7 days? Ans. 18. 35. If 35 men in 7 days of 6 hours each mow 53a. 1r. 16 p., how many acres will 25 men mow in 6 days of 9 hours? Ans. 49. 36. If 3759 horses consume 84 qrs. of corn in 95 days, how much will 930 horses consume in 160 days? Ans. 35 qrs. 37. If 312 fivepenny loaves serve 46 men for 17 days, how long will 360 threepenny loaves serve 45 men ? Ans. 12 days. 38. If 60 men dig a trench 90 yds. long, 7 wide, and 3 ft. 9 in. deep, in 7 days of 8 hours each, how many men will it take to dig one 84 yds. long, 17 wide, and 2 ft. 77 in. deep, in 8 days of 7 hrs. each? Ans. 94. 39. If 44 cows in 92 days of 6 hrs. each eat up 12a. 2r. of grass, how much will 84 cows eat in 8239 days of 7 hours each, supposing the grass not to grow in the interval? Ans. 25 acres. 40. If 750 men eat 16 qrs. 1 sack 3 bus. of wheat in 45 days, how much will 730 men consume in 6 Ans. 18 bushels days. 41. If 7 men build a wall 40 yds. long, 2 ft. high, and 4 ft. thick, in 32 days, how long a wall of 6 ft. high, and 3 ft. thick, will 378 men build in 8 days? Aus. 240 yds. MISCELLANEOUS EXERCISES. 1. Add together two hundred and seven, fifty thousand nine hundred and fifty, one million and thirty thousand, seven thousand and ninety nine, nine hundred and seventy five thousand three hundred and twenty one, ten thousand and fifteen; take away from the sum ninety-eight thousand seven hundred and eighty-seven; multiply the remainder by seventynine; and write out the answer in words. Answer: One hundred and fifty-six millions nine thousand five hundred and ninety-five. 2. Divide 200,000 by 256, by long division and by factors. Ans. 7811. 3. Multiply 570,492 by seven thousand nine hundred and eighty-five. Ans. 4555378620. 4. How many farthings in £19 17s. 11d? Ans. 19103. 5 Find the tons, cwts., qrs., and lbs., in 17,849,247 lbs. Ans. 7968 tons 8 cwt. 1 qr. 3 lbs. 6. If a postman walks on an average 18 miles a day for 6 days in the week, and is paid 21s. weekly, how much is that per mile? Ans. 2 d. 7. A man carries a weight of 12 lbs. for five miles every day; how many days must he do this to earn £50, at 2d. per lb. per mile ? Ans. 100 days. 8. What is the cost of 5 tons 13 cwt. 1qr., at £5 5s. per ton? Ans. £29 14s. 6d. 9. What is the rent of 40a. 3r. 12p., at £7 10s. per acre? Ans. £306 3s. 9d. 10. Make out this bill of parcels, and show how it should be receipted:-15 lbs., at 74d. per lb.; 8 yards, at 7 d. per yd.; 7 dozen and a half, at 14d. per doz.; 174 oz., at 16d. per oz.; 7 lbs., at 11 d. per ĺb. Ans. £2 4s. 10 d. 30. The weight of a bar of iron 2ft. long, 3in. broad, and 1 in. thick, is 20 lbs., what is the weight of a similar bar 7 ft. long, 4 in. broad, and 3 in. thick? Ans. 3933 lbs. 31. If I pay £14 10s. for carriage of 60 cwt. 20 miles, what weight can I have carried 30 miles for £5 8s. 9d. at the same rate? Ans. 15 cwt. 32. If 23 oxen consume 8 acres of pasture in 26 days, and 25 oxen consume 7 acres of the same in 20 days, the grass growing uniformly, how many acres of it would 33 oxen consume in 5 days? Ans. 28a 33. If 60 men dig a trench 90yds. long, 7yds. wide, and 3 ft. 9 in. deep, in 7 days of 8 hours each, how deep a trench can 94 men dig if it be 84 yards long, and 17 wide, in 8 days of 7 hrs. each. Ans. 2ft. 77in. 34. If 16, men in 11 days mow 315 a., how many men will it take to mow 225 acres in 7 days? Ans. 18. 35. If 35 men in 7 days of 6 hours each mow 53a. 1r. 16 p., how many acres will 25 men mow in 6 days of 9 hours? Ans. 49. 36. If 3759 horses consume 84 qrs. of corn in 95 days, how much will 930 horses consume in 160 days? Ans. 35 qrs. 37. If 312 fivepenny loaves serve 46 men for 17 days, how long will 360 threepenny loaves serve 45 men ? Ans. 12 days. 38. If 60 men dig a trench 90 yds. long, 7 wide, and 3 ft. 9 in. deep, in 7 days of 8 hours each, how many men will it take to dig one 84 yds. long, 17 wide, and 2 ft. 77 in. deep, in 8 days of 7 hrs. each? Ans. 94. 39. If 44 cows in 92 days of 6 hrs. each eat up 12a. 2r. of grass, how much will 84 cows eat in 8239 days of 7 hours each, supposing the grass not to grow in the interval? Ans. 25 acres. 40. If 750 men eat 16 qrs. 1 sack 3 bus. of wheat in 45 days, how much will 730 men consume in 6 Ans. 18 bushels days. 41. If 7 men build a wall 40 yds. long, 2 ft. high, and 4 ft. thick, in 32 days, how long a wall of 6 ft. high, and 3 ft. thick, will 378 men build in 8 days? Ans. 240 yds. 16. If a ton of coals cost £1 6s. 8d., what weight can I get for a penny? Ans. 7 lbs. 17. Find by practice the cost of 36 miles 3 furlongs 22 yards of telegraph wire, at £14 13s. 4d. per mile. Ans. £533 13s. 8d. 18. A farmer sells 20 sheep, at £1 12s. 6d. each, and 24 at £1 9s. 2d.; how many can he buy with the proceeds, at £1 13s. 9d. each ? 19. If a man pays £749 18s. 4d. for debts, at 3s. 7d. in the £, how much did he owe? Ans. £4185 11s. 71⁄2d. +3 20. How many oz. of silver will it take to make 10 doz. spoons, each weighing 3 oz. 7 dwts. ? Ans. 402. 21. How many lbs. of butter, at 17d. per lb., will pay for a cow worth £22 10s. ? Ans. 3171 lbs. 22. A bill of £3 0s. 114d. has to be paid by several persons; if three have to pay together 16s. 71⁄2d., how many are there to share the cost? As 16s. 7 d.: £3 Os. 111⁄2d. :: 3:11. Ans. 23. Find the value of 45a. 3r. 20p., at £111 11s. 4d. per acre. Ans. £5118 2s. 5d. 24. Two persons gained in trade £375, one having put in £500, and the other £850; what part of the profits ought each to receive? £500+£850 = £1350 = total capital embarked. 1350:500::£375:£138 17 9+ 1350:850:: £375: £236 2 2+ Proof £375 0 0 one's share. other's share. total profit. 25. If 15 horses and 148 sheep can be kept for 9 days for £75 15s., what sum will keep 10 horses and 132 sheep for 8 days, supposing 5 horses eat as much as 84 sheep? 5 horses 84 sheep .15 horses 84 × 3 = 252 sheep 4.00: 300 9: 8 :: £75 15 0 26. A block of stone is 4 ft. long, 2 ft. broad, and 11 ft. thick; it weighs 27 cwt.; find the weight of 100 cubic inches of the stone. Ans. 14 lbs. 27. Two persons, A and B, on opposite sides of a wood which is 476 yards about, begin to go round it both the same way at the same instant of time; A, who is 250 yards in advance of B at starting, saunters at the rate of 11 yds. per minute, and B at 34 yds. in 3 minutes. How many times will A have gone round the wood before the quicker overtakes the slower ? Ans. 17738 79 28. Find the cost of 7cwt. 2qrs. 14lbs., at £7 11s. 6d. per quarter. Ans. £231 Os. 9d. 29. If the national debt amounts to £800,000,000, and 30 pound notes weigh an oz., what would be the weight of the whole in notes ? Ans. 744 tons 0 cwt. qrs. 22 lbs. 10 oz. 10 dr. 3 30. Find by practice the cost of 19796, chests of tea, at £3 17s. 11d. per chest. Ans. £77124 7s. 11d. 31. Three waggons weigh respectively 4tons 16 lbs., 3 tons 19 cwt., 4 tons 3 ars. 27 lbs. Their united |