10. Express each of the silver coins now in use in England by a decimal of 2 d. 11. What decimal of £100 is the quotient of £61, 45. 716d. by 26718? 12. Reduce of a shilling to the decimal of a guinea. 13. What decimal of £2 is each of the gold, silver, and copper coins in circulation in England ? 3x4 of 6 14. Reduce of 5 forins to the decimal of £r. 1- } 1 Reduction to the Decimal of (Weights and Measures). I 1. Reduce 3 ac. 2 rds. 22 pls. to the decimal of 4 acres ; and of 4 ac. 3 rds. 16 pls. 2. What decimal is (a) 3 bush. 3 pks. of 1 qr.? (6) 19 qrs. i nl. of 11 yds. ? (c) 59 yds. 1 ft. of 1 mile? 3. Reduce 911 of 1 pks. to the decimal of 3 qrs.; and ity of a year to the decimal of a day. 4. Add together 5.5 of a cwt. and 3•125 qrs., and reduce this sum to the decimal of 10,000 tons. 5. What decimal of 1 lb. Troy is 64 grains ? 6. Reduce 3} dwts. to the decimal and to the vulgar fraction of 2} lbs. Troy. 7. Express as the decimal of 1 lb. Troy each of the lower denominations of Troy weight. 8. What part of 10 ac. 2 rds. 3718 pls. is i ac. 3 rds. 371': pls. ? Give answer in vulgar fraction, and in decimals to four places. 9. Reduce 2 wks. 6 dys. to the decimal of 4 dys. 3 hrs. 10. Reduce 3 fur. 10 pls. to the decimal of a mile; and 2 ft. 3 in. to the decimal of 3 yds. 2 ft. 11. Three Russian versts = 10,500 ft. ; reduce a verst to the decimal of a mile. 21. If £187, 1os. pay for the education of 20 boys for 6 months, how long will £150 pay for 8 boys? 22. If 6 masons, each receiving 31s. 6d. a week (6 days), earn as much as 7 bricklayers in the same time, in how many days at this rate will the wages of 35 bricklayers amount to £141, 155. ? 23. If £ 12 be charged for conveying 21 tons 10 cwts. of iron for 63 miles, how far should 430 tons 5 cwts. be carried for £4? 24. 115 men undertake to make a road 2 miles long in 46 days, but when it is half done at that rate, 69 men go off to another job; how many days altogether were spent in making the road? 25. A 20 horse-power engine pumps 40 gallons of water from a pit 100 yards deep in 3 hours; what quantity of water would an engine of 35 horse-power pump from a depth of 235 feet in 141 days, working night and day? 26. If the carriage of 1 cwt. 3 qrs. 21 lbs. for 1041 miles come to £1, 14s. 1od., what sum would be charged for conveying 21 tons for 237 miles ? 27. I get 8 oz. of bread for 6d. when wheat is 155. a bushel ; what ought a bushel of wheat to cost when I get 12 oz. of bread for 4d. ? 28. If 10 men or 15 boys can reap 20 acres of corn in 6 days, working 14 hours a day, how many boys must be employed to assist 3 men- to reap 11 acres in 1 days of 8 hours a day? 29. If the carriage of 5 tons 5 cwt. 2 qrs. 1 lb. for 50 miles cost £27, 1os., what will be charged for conveying 251 cwt. 117 miles ? 30. If 24 cakes can be made out of 38. worth of oatmeal when its price is 18d. per peck, how many cakes can be made out of 1os. 3.d. worth when oatmeal is at 13d. per peck? 31. If 7 men earn £,9, ios. 6d. in 10 days, in how many days will 28 men earn £114, 6s. ? 32. If a family of 9 persons spend £120 in 8 months, how much will serve a family of 24 persons 16 months? 12. What is the value of .2476 of 7s.6d. rnultiplied by 247864? 13. If an ounce of gold be worth £40099, what is the value of a bar of gold weighing 1.683 lbs. ? 14. Add together 4'56, oozó, and 2.0453, and subtract from their sum .01564837. 15. Work out 365 - 365+ 36'5 - 0365, and show what would be the difference in the result if the figure 5 in each of the fractions was circulating. 16. How much will be wanted to make up the sum of •375 of a guinea, 54 of 8s. 3d., and 'o227 of £2, 155. to £1, os. 2!d.? 17. If I am charged '1875s. for travelling a mile by rail, how much change should I have out of half a sovereign after paying the fare for 40 miles ? 18. Find the value of 2 of a guinea + '53 of £1+ 45326 of £5 -'5 of 5s. 19. If 6 of 3.63 acres costs of £711036, what is that per rood? 20. Add together 3.3, 3, .03, '0003, divide the sum by ozó, and subtract 9873325 from the quotient. 21. Find the sum of money to which, if we add 9 of £6.875, the result will be of £13, 6s. 8d. 22. What sum of money multiplied by •, and divided by 5, gives £6.96? Give answer in decimals, and vulgar fractions, and £ s. D. 23. A has 2'95 tons of a certain material; and B, 17'09375 cwt. of it. If its price be £i per quarter, how much more could A sell his stock for than B? 24. How much is .2615384 of £6, 1os., and 54 of 'ożj of Il mls.? 25. Reduce £'3, £:27, £-857142 to vulgar fractions ; add together, and give the value of the resulting fractions in £ s. D. 26. Divide of 7825 by '05, and subtract 8!: from the quotient. 27. What shall I receive in a year (of 12 months) if I get '13 of £39, 8s. 1d. per month? 4. ! + and 2}= 121 7? - 38 VULGAR FRACTIONS (Miscellaneous). 1. Add together 31, 71, 3, 5; divide their sum by of 41, and subtract the quotient from 20. 2. A gentleman gives 3 s. to one boy, 4 s. to a second, 33;s. to a third, 5}s. to a fourth ; how much did he spend altogether, and how much did he give on an average to each boy? 3. A pile is driven through water into the ground below; } of it is buried in the soil, 4 is under water, and 15 ft. above the surface of the water : what is the length of the pile ? -4. If 938 yds. of velvet cost £358, what quantity may be bought for £20? 5. From of } of 48 guineas take {s.+ 13 of half-a-crown + 100's of a guinea. 6. What fraction added to of 6of j'y will make 1 ? 7. A man possessing five-elevenths of an estate, sold onethird of his share, and divided the remainder among his ten children ; what fraction of the whole estate did each child receive ? 8. 21 cwt. cost £46}, what is the cost of 25 lbs. ? 9. A boy, after spending of his money upon cakes, finds that of what he has left is is. 9d. ; what had he at first ? 10. If 11 acres of land cost £118, 13s., what will 10.5 acres cost at the same rate ? 11. Add 9-16ths of is. 6d. to 73-960ths of 1os., and subtract their sum from 2-15ths of 125. 6d. 12. If 2ļ bushels can be got for 2+of £1, what should be the cost of 7937 bushels ? 13. Simplify 9-3x73-35 , 213-9} and take the result +61 +13. 12} +27 from 1. 14. Find the cost of a dress which required 17 yards of 3+ cloth at the rate of 41 s. for of a yard, other materials 11 s., and 23 s. for making. 15. What is the number to which, if we add 1 of 6%, the result will be equivalent to of 133 ? 16. A shopkeeper having of 58} lbs. of tea, sold } qr., Tia cwt., I qr., cwt, 3 qr., and of 1 of 18 lbs. ; 'what quantity had he left? 17. Multiply 1 ton 3 cwt. I qr. 15 lbs. 10 oz. 6 drs. by 35 and 21., and add the two products together. 18. 44 yds. of cloth yd. wide cost £2, os. 6d. ; how many yards yd. wide should be got for 3 guineas? 19. Take of a guinea from £ic, and express their difference as the fraction of half-a-crown. 20. A person owning it of an estate sold i of of his share for £1205; what would of of the estate sell for at the same rate? 21. Jf claret be of a guinea per doz., and marsala be of of 105. a bottle, what fraction of the price of a dozen of the former will be the price of a dozen of the latter? 22. What fraction of £10, together with 3} guineas, is equivalent to 5 guineas? 23. Subtract ļ off from j of it, and multiply the result by of . 24. If 10 yds. of cloth which is 18 in. wide cost £4, 18s. 6!d., what will 1231 yds. of yard wide cloth cost ? 25. If it of a ton is worth £4, 1os., what is the value of of a ton? 26. Express 4 bush. 1 pk. y gall. 2 qts. as the fraction of a quarter ; and the sum and difference of it, of £1 and if of a crown as fractions of a half-sovereign. 27. How many seconds are there in part of a day, together with 3.400.000 part of 3 weeks 4 days ? 28. A farmer has to pay yearly the price of 7% bushels of wheat at 4s. 9d. per bushel, and 9 of malt at 5s. 3d., and 65 of 1 100.000 |