57. At 6 dollars a barrel, how many barrels of flour may be bought for 45,3, dollars? 53. If 1 cwt. of iron cost 4 dollars, what will 53 cwt. cost? 59. A man failing in trade can pay only of a dollar on each dollar, how much can he pay on 7 dollars? How much on 235 dollars? 60. A man failing in trade is able to pay only of a pound on a pound, how much can he pay on 17£. 15s. ? 61. A man failing in trade is able to pay only 17s. on a pound, what part of each pound will he pay? How much will he pay on a debt of 147£. 14s. ? 69. Multiply 1523 by . 70. What is 37 of 172 ? 71. Multiply 134 by 72. Multiply 1354 by 243. 73. Multiply 1,6473 by 1723. 74. How many times is 3 contained in 142 ? ? 78. What part of 7 is XVIII. 1. If 1 lb. butter cost of a dollar, how much will 2 lb. cost? What will 4 lb. cost? 2. At of a dollar per lb., what will 2 lb. of raisins cost! What will 3 lb. cost? What will 6 lb. cost? 3. If 1 man will consume of a bushel of corn in a week, how much will 2 men consume in the same time? How much will 4 men consume? How much will 8 men con sume? 4. If a horse will consume of a bushel of oats in a day, how much will he consume in 3 days? How much in 9 days? 5. If I man can do of a piece of work in a day, how much of it can 2 men do in the same time? How much of it can 3 men do? How much of it can 4 men do? How much of it can 6 men do? How much of it can 12 men do? 6. If a man drink of a barrel of cider in a week, how much would he drink in 2 weeks? How much would 5 men drink in a week at that rate? How much would 8 men drink in a week? How much would 20 men drink in a week? How much would 40 men drink in a week? 7. If a horse consume 2 bushels of oats in a week, how much would he consume in 4 weeks? How much in 8 weeks? 20 8. At 7 dollars a barrel, what cost 5 barrels of flour? 9. If a horse will eat of a ton of hay in a month, how much will horses eat? How much will 8 horses eat? 43 248 10. If it take 11 yard of cloth to make a coat, how much will it take to make 8 coats? How much to make 24 coats? 11. If a barrel of cider cost 327 dollars, what will 10 barrels cost? What will 25 barrels cost? Note. 8 times =1; 8 times 7 is 7 times as much, that is, 7. Perform the following examples in a similar manner. 29. Multiply 957 by 1268. 30. Multiply 14135 by 1000. Tooo XIX. 1.* A merchant bought 4 pieces of cloth, the first. contained 183 yards, the second 27 yards, the third 23 yards, and the fourth 253 yards. How many yards in the whole ? 2. A gentleman hired 2 men and a boy for 1 week. One man was to receive 53 dollars, the other 7%, and the boy 37. How much did he pay the whole ? 3. A gentleman hired three men for 1 month. To the first he paid 263 bushels of corn; to the second, 287 bushels, and to the third, 33% bushels. How many bushels did it take to pay them? 4. A man had 2 bushels of corn in one sack, and 23 in another; how many bushels had he in both? 5. If it takes 12 yard of cloth to make a coat, and of a yard to make a pair of pantaloons, how much will it take to make both? 6. A man bought 2 boxes of butter; one had 7 lb. in it, and the other 103 lb. How many pounds in both? 7. A boy having a pine apple, gave of it to one sister, to another, and to his brother, and kept the rest himself. How much did he keep himself? 8. A man bought 3 sheep; for the fist he gave 63 dol lars; for the second, 85; and for the third, 91. dollars did he give for the whole ? How many C. How many cwt. of coton in four bags containing as follows; the first 4 cwt.; the second, 53 cwt.; the third 4 cwt; and the fourth 73 cwt.? 10 20 10. A merchant bought a piece of cloth containing 23 yards, and sold 73 yards of it; how many yards had he left! 11. A gentleman paid a man and a boy for 2 months' labour with corn; to the man he gave 263 bushels, and to the boy he gave 183 bushels. How many bushels did it take to pay both? 12. Bought 83 cwt. of sugar at one time, and 5 cwt. at another; how much in the whole? 13. Bought of a ton of iron at one time, and 4 of a ton ut another; how much in the whole? 14. There is a pole standing so that of it is in the mud, *See First Lessons, Sect. XIII of it in the water, and the west above the water; how much of it is above the water? 5 15. A merchant bought 14 cwt. of sugar, and sold 8, cwt.; how many lb. had he left ? Note. Reduce all fractions to their lowest terms, after the work is completed, or before if convenient. In the above example might be reduced, but it would not be convenient because it now has a common denominator with. The answer may be reduced to lower terms. 16. Out of a barrel of cider there had leaked 73 gallons; how many gallons were there left ? 17. A man bought 2 loads of hay, one contained 173 cwt. and the other 234 cwt. How many cwt. in both? 18. A man had 434 cwt. of hay, and in 3 weeks his horse ate 5 cwt. of it; how much had he left? 19. Two boys talking of their ages, one said he was 93 years old; the other said he was 4 years older. What was the age of the second? 20. A lady being asked her age, said that her husband was 375 years old, and she was not so old as her husband by 81 years. What was her age? 21. A lady being asked how much older her husband was than herself, answered, that she could not tell exactly; but when she was married her husband was 284 years old, and she was 224. What was the difference of their ages? 22. Add together and. 23. Add together,, and . 24. Add together and 13 י17 3 25. Add together 13 and 17%. 26. Add together 1373, 26, and 2433. 27. What is the difference between and ? 28. What is the difference between 4 and }; ? 29. What is the difference between 13 and 8-1 ? 32. Subtract 2843 from S1334. 173 XX. 1. A man bought 15 cows for $345. What was the average price? Note. Find the price of 3 cows, and then of 1 cow. 2. A merchant bought 16 yards of cloth for $84.64; what was it a yard ? 3. A merchant bought 18 barrels of flour for $114.66, and sold it so as to gain $1.00 a bbl. How much did he sell it for per barrel ? 4. 21 men are to share equally a prize of 8,530 dollars, how much will they have apiece? 5. A merchant sold a hogshead of wine for 113 dollars. How much was it a gallon? 6. A ship's crew of 30 men are to share a prize of 847 dollars; how much will they receive apiece? 7. A man has 1.857 lb. of tobacco, which he wishes to put into 42 boxes, an equal quantity in each box. How much must he put into each box? 8. In 4,847 gallons of wine, how many hogsheads? 9. At $48.00 a barrel, how many barrels of brandy may be bought for $687.43? 10. At $90 dollars a ton, how many tons of iron may be bought for 2,486 dollars? 11. If 23.000cwt. of iron cost $92,368.75, how much is it per lb. ? 12. Divide 784 by 28. 13. Divide 1,008 by 36. 14. Divide 1,728 by 72. 15. Divide 2,352 by 56. 16. Divide 183 by 15. 17. Divide 487 by 18. 18. Divide 1,243 by 25. 19. Divide 37,864 by 63. 20. Divide 19,743 by 112. 21. Divide 4,383 by 30. 22. Divide 6,487 by 50. 23. Divide 1,673 by 400. 24. Divide 13,748 by 7,000. 25. Divide 100,780 by 250. 26. Divide 406,013 by 4,700. 27. Divide 3,000,406 by 306,000. 28. Divide 450,387 by 36,000. 29. Divide 78,407,300 by 42,000. 30. Divide 15,008,406 by 480,000. XXI. 1. Find the divisors of each of the following numbers, 15, 18, 20, 21, 24, 28, 42, 48, 64, 72, 88, 98. 2. Find the divisors of each of the following numbere, 108, 112, 114, 120, 387, 432, 846, 936. |