(57.) A merchant bought 450 lbs. of tea at 2s. per lb. Thirty lbs. were lost in the carriage, and 49 lbs. were destroyed. He sold the remainder at 3s. per lb. How much did he gain or lose? (58.) If a book contain 456 pages, 25 lines in each page, on an average 9 words in each line, and 5 letters in each word, how many letters are there in the whole book? (59.) One-third of 75 multiplied by the fifth part of 120 will be one-seventh of a certain number. Find the number. (60) Jane is now 11 years of age. Five years ago her father was 5 times as old as she was. How old will her father be 10 years hence ? (61.) How many shots will a fleet of 8 ships fire in 36 rounds, two of the ships having 91 guns each, five 74 guns each, and one 59? (62.) A farmer went to market with £400 in his pocket. He bought 36 oxen at £16 each, and 3 score of sheep at £2 each. He drew £360 from the bank while at the market. How much money did he carry home? (63) A cistern contains 7695 gallons. How many gallons must be run off each hour so that it may be emptied in 21 hours? (64) A regiment of soldiers was formed into a column, with 52 men on one side and 36 on the other. Supposing they were formed into a column with 49 men on one side, how many would be on the other? (65.) John gathered 456 nuts, James half as many, Peter half as many again as John, Andrew as many as James and Peter together. How many nuts did they gather among them? (66.) If 79846 be divided by a certain number, it gives a quotient of 265, with remainder 81. What is the divisor? (67.) What number is that which, being divided by 52, the quotient increased by 49, the sum diminished by the difference between 36 and 17, the remainder multiplied by 3, and the product divided by 111, the quotient will be 1 (68.) The product of two numbers is 94583, and the third part of one of them is 17. What is the other number? (69.) Three men and a boy earned among them 76 shillings. Each man got 6 times as much as the boy. How much did each receive? (70.) In a garden there were 769 apples on one tree, and 876 on another. The owner gathered 49 daily for 13 days, and then divided the remainder among his 3 sons and 2 daughters, giving to his daughters a son's share between them. How many did each receive? (71.) From twenty-nine and four-sevenths subtract seventeen aud six-sevenths. (72.) Add thirty-four and four-ninths, six hundred and seventy-nine and three-ninths, eighty-nine and sevenninths, seventeen and eight-ninths, nine and four-ninths, thirteen and six-ninths. (73.) 987921 + 879 + 75 + 89731 + 7984,7 +6931189211 + 59711 +17 (74.) 67090608927453-40609086458967. (75.) John bought 30 yards of twine to fly his kite he also received 142 yards from his father, and 17 yards from his brother. How many yards had he altogether? (76.4+5—67+1-4. (77.) 6,8—4+3% — 23. (78.) A draper bought 769 yards of cloth, and sold 596% of them. How many has he left? (79.) Reduce to whole or mixed numbers : (80.) Express as improper fractions :-89, 17%, 4211, and 99. (81.) Express 9 as a fraction, with denominator 8; and 8 as a fraction, with denominator 6. (82) In a railway train there were 33 times as many second-class passengers as there were first-class, and a half as many again third-class as there were of first and second together. Now there were 36 first-class passengers. How many were there in the whole train? (83.) If 2 yards of cloth are required to make a pair of trousers for a soldier, and 3 for his coat, how many yards will be required to clothe a regiment of 950 men ? (84.) × 3, × 4, 9 ÷ 8, 9 ÷ 5. (85.) 4 × 6, 49 × 6, 7% ÷ 6, 62÷5. (86.) A gentleman gave away one Christmas 1749 pence among 12 men and 9 women, giving to each woman one half the number he gave to each man. How many did each receive? (87.) × 8, 2 × 5, ÷ × 9, ÷ × 7. (88.) ÷, ÷;,÷÷;,3÷5. (92.) 3 × 7 ÷ 201г. (93.) At an election the successful candidate had a majority of 471, and 975 votes were registered against him. How many voted altogether? (94.) What is the difference between 163 x 6 and 29 × 9? 21 x 54 x 36 (95.) Simplify 14 × 108 × 9, 16 x 4 x 15 x 27 12 × 32 × 10 × 9, 9 × 27 × 14 × 5 18 x 21 x 15 x 54. (96.) In a steamboat there were 27 cabin passengers, as many again second cabin passengers, twice as many steerage passengers as there were cabin and second cabin passengers together. How many were there altogether? (97.) 4893 X 9, 5674 × 94. (98.) 6842 X 37, 9754 X 373. (99.) 68954418, 78976923. In the first of these two sums find the complete quotient, and in the other the quotient and remainder. (100.) 64961 ÷ 52, 9645 ÷ 29₫. In the first of these two sums find the complete quotient, and in the other the quotient and remainder. (101.) A gentleman bought a carriage for £275, a pair of horses for of what he gave for the carriage, and a dog for of the price of the carriage. By mistake he sent a cheque for £399 to pay for them. What was the amount of error? (105.) Divide the sum of 63 and 45 by their difference. (106.) Simplify of‡, (107.) of 4 (108.) If 18 number? 3 3 of ÷ 94, 9 ÷ (43×91). ber of a number, what is the whole (109.) If a man can do of a piece of work in a day, in what time will he do the whole work? (110.) If a man can do a piece of work in 21 days, how much of it will he do in 1 day? 14+23+32 33-22 — 14 (111.) Simplify 32-23+1, 33+22+1a. (112.) From the sum of one-half and one-fifth subtract the half of one-fifth. (113.) From the product of one-third and one-half subtract the difference between one-third and one-half. (114) From the quotient of one-third divided by onehalf subtract the product of one-third and one-half. 1.2 2.3 3.4 4.5 (115.) Simplify + + + (116.) Simplify 2.3 3.4 4.5 5.6. 1.2.3 2.3.4 3.4.5 + 2.3.4 3.4.5 4.5.6. (117.) Divide the sum of one-fourth and one-fifth by their difference. COMPOUND RULES. (MONEY.) MONEY TABLE, 2 Farthings make 1 Halfpenny (d). 4 Farthings 12 Pence 1 Penny (d). 20 Shillings L. S. D., signifying "Pounds, Shillings, Pence," are the first letters of the words "Libra, Solidus, Denarius," the names of Roman coins. The coins in use are as follows: Gold:-Sovereign (20s.), Half-sovereign (10s.). Silver:-Crown (5s.), Half-crown (2s. 6d.), Florin (2s.), Shilling (1s.), Sixpence (6d.), Fourpenny-piece or Groat (4d.), Threepenny-piece (3d.). Copper:-Penny (ld.), Half-penny (d.), Farthing (4d.). The Guinea, a gold coin formerly in use, is now only used as a nominal unit, especially in fees and subscriptions. Gold is a legal tender to any amount; Silver to the extent of 40s.; and Copper to the extent of 12d. ALIQUOT PARTS. Of £1. of 10s. of 5s. of 2s. 6d. of 1s. 3d. 10/ = 3/4 6/8 ... ... of ls. ... || || || || || || || || |