Ex. (16) A certain number of sovereigns, the same number of crowns, of half-crowns, and florins, amount altogether to 118 guineas: how many coins are there of each kind? Since the number is to be the same for each coin, we may make up a sum consisting of one of each, and then ascertain how many such sums there will be in 118 guineas. £II cr. I hlf-cr. + 1 fl. = 298. 6d. = 59 sixp. 59) 4956 (84 Ans. 472 236 236 Exercise 12. 1) Add together two hundred and seventy-three, fortyone thousand and eighty, nineteen millions five thousand and six, and three hundred and nine thousand seven hundred. (2) Subtract nineteen thousand and ninety-eight from a million. (3) Express in words 28130062. (4) Find the difference of 271 × 89, and 348 × 71. (5) Add together the sum, difference, product, and quotient of 167 and 6346. (6) What number added to 352 will give the same sum as 591 added to 429? (7) Divide 27436951 by 823. What number must be added to the dividend in order that the divisor may be contained in it exactly? (8) How many farthings are there in £70526 5s. 7åd.? (9) Divide £21977 188 11d. by 734. (10) Find the cost of 25 ounces of gold at £3 178. 101d. per ounce. (11) Reduce £591381 into guineas. (12) If £158 10s. be divided equally among 15 men, how much will each receive? How much less will each receive if there is one man more? (13) How long would it take to count a million, at the rate of 100 per minute? (14) Multiply £27 88. 34d by 923. (15) Find the difference between twice £3 7s. 84d. and the half of £13 118. (16) Among how many persons may £100 be divided, that each may have £1 118. 3d.? (17) A farmer having 1000 sheep, sold 157 of them and lost 5; then he bought 206 more, and divided his whole number into 6 equal flocks. How many were there in each? (18) A bookseller ordered 50 books at 3s. 6d., 12 at IIS. 6d., 21 at 1s. 4d., and at a guinea: find the total amount of the bill. (19) Reduce 871912683 farthings into pounds. (20) Multiply £53 28. 11åd. by 1039. (21) Add together £3 28. 34d. × 11, £2 48, 61d. × 21, and £1 Is. 7åd × 31. (22) £25 is to be divided among 19 persons, £1 38. 6d. being first deducted for expenses. How much may each receive, and how much will be left? (23) The populations of three towns were found at one census to be 10387, 9268, 12252 respectively. At the census ten years afterwards the first had increased by 2123, the second by 959, and the third had decreased by 76: what was at that time the total population of the three? (24) How many gallons of spirits at £1 2s. 3d, may be bought for £40 18.? (25) Multiply the sum of twenty-three thousand five hundred and seven, and a hundred thousand six hundred, by the difference of ten thousand and two, and seven thousand and fifty-six. (26) In 75 tons 8 cwt. 3 qrs. 12 lbs. how many drachms are there? (27) Multiply 6 lbs. 5 oz. 14 dwts. 10 grs. by 273. (28) What rate per minute is the same as 29 miles per hour? (29) How many seconds are there between 25 minutes past 8 in the morning and midnight? (30) 256 equal parcels together weigh a ton; what is the weight of each? (31) Reduce 27839017 grains into lbs Troy. (32) An apprentice receives nothing in his first year, and in the next four years 38., 68., 98., 128., per week. How much does he receive altogether? (52 weeks to a year.) (33) What are the average weekly earnings for the five years in the last question? (34) Reduce 237 miles 6 fur. 27 yds. 2 ft. into inches. (35) If a field of 18 ac. 3 rds. is divided into 50 equal lots, how much less than half an acre is each lot? (36) Multiply 3 wks. 5 dys. 2 hrs. 27 min. by 193. (37) Find the profit on 1 ton 3 cwt. bought at 5s. per cwt., and sold at a penny per lb. (38) Divide 93 tons 5 cwt. by 23 lbs. 5 oz. (39) Divide £17 7s. 6d. between two persons so that one may have 10s. more than the other. (40) How many guineas are there in 34 sovereigns, 53 crowns, 71 florins, and 89 shillings? (41) One week's supply of oats to the London corn market was 37854 qrs.; of which 1105 qrs. were English, 3742 Scotch, 1182 Irish, and the rest foreign. How much foreign was there? (42) Divide £17 15s. 6d. between two persons so that one may have twice as much as the other. (43) 37 gallons of spirits worth 228. 3d. per gallon are mixed with 25 gallons worth 178. 5d. per gallon; at what price per gallon should the mixture be sold that the merchant may make £4 158. profit? (44) Reduce 365 dys. 5 hrs. 48′ 48′′ into seconds. (45) How much sugar at 5d. per lb. would cost the same as half a cwt. of tea at 3s. 9d. per lb.? (46) Reckoning a silver Jewish shekel at 2s. 34d., find the value of 500 shekels. (47) If a person were born on Dec. 31st, 1829, how many days old would he be on March 5th, 1866? (48) How many steps 2 ft. 8 in. long would a man take in walking eight miles? (49) Multiply the difference of 25 lbs. 2 oz. 8 dwts. 13 grs. and 27 lbs. 5 oz. by 383. (50) What is the cost of 3 qrs. of oatmeal, at 318. 3d. per qr. for the grain, and 6d. per bushel for grinding? (51) Supposing that 5700 persons, each paying §d. toll, and 324 cabs each paying 2d., pass over a bridge in a day, how much money will be received? (52) When A dies at the age of 67, B is 31 years old; B dies at the age of 59, when C is 25; at C's death, when he is 70, D is 43: and D lives to the age of 69. Find the interval between A's birth and D's death. (53) At the rate of 4 yards a second, how long will it take to run a mile? and what is the rate per hour? (54) How often will a wheel 14 ft. in circumference turn in 77 miles? (55) Reduce 2 tons 4 cwt. 3 qrs. 21 lbs. into grains. (56) A workman who earns £1 7s. 6d. per week saves in a year (52 weeks) £13 58. 9d., what has he spent? (57) On an income of £1250 a year, what income-tax at 5d. in the pound will a gentleman have to pay? What will be his net income? (58) Equal numbers of half-sovereigns, crowns, florins, and fourpenny pieces, amount altogether to £13 178. 4d., how many were there of each? (59) Divide £54 158. among four persons so that one may have 30s. more than each of the rest. (60) Determine the weight of 17 cub. yds. 1 ft. of Portland stone at 134 lbs. a foot. (61) A bankrupt owes £4284 and can pay 7s. 71⁄2d. in the pound, what is the amount of his assets? (62) How much cloth at 14s. 7 d. per yard is equal in value to 182 yards at 13s. 6d.? (63) Divide £100 among three persons, giving the first twice as much, and the second three times as much, as the third. (64) Find the amount of wages earned by 76 men in 37 weeks at the rate of 38. 10d. per day. (65) What is the average daily expenditure of a person who saves £201 78. out of an income of £949 128.? (66) The velocity of sound being 1090 ft. 6 in. per second, at what distance is a gun fired of which I hear the report II seconds after seeing the flash? (67) Divide £20 5s. among five persons, making the shares of two of them each 12s. 6d. less than the shares of each of the others. (68) Find the value of 3 tons 17 cwt. 3 qrs. 10 lbs. at 7åd. per lb. (69) A silver teapot, weighing 25 ounces, was bought for £15 78. The metal being worth 5s. 2d. per ounce, and the duty being 18. 6d. per ounce how much was charged for workmanship? (70) A boy, whose rate is 210 yards in a minute, sets off after another who is 45 yards distant, and running at the rate of 195 yards a minute. How soon will he overtake him? (71) A piece of cloth 32 yards long is bought at 11s. 6d. per yard; if 9 yards are damaged, at what rate must the remainder be sold so that no loss may be sustained? (72) A cistern holding 100 gallons is filled by means of a water can which contains 2 gals. 2 qts., and which can be filled and emptied into the cistern twice in a minute. How much time would be saved by fitting the cistern with a pump supplying a quart a second? (73) Multiply 5 miles 3 fur. 206 yds. 2 ft. 2 in. by 786. (74) An equal number of men and boys are employed in a factory, the men earning 278. a week, and the boys 78. The whole amount paid in wages each week is £28 18s.: how many men are there? (75) A train travels 112 yds. in 18 sec., afterwards 139 yds. in 9 sec., then 97 yds. in 5 sec., determine the average rate per hour. (76) In the second quarter of 1865, 71089 emigrants sailed from ports in the United Kingdom, 52730 going to the United States, 6643 to British North America, and 9820 to the Australian colonies; how many sailed to other parts of the world? (77) Reduce a ton into Troy weight. (78) A wine merchant buys a butt of sherry (108 E |