men drink in a week? How much would 40 men drink in a week? 7. If a horse consume 23 bushels of oats in a week, how much would he consume in 4 weeks? How much in 8 weeks? S. At 7 dollars a barrel, what cost 5 barrels of flour? 43 9. If a horse will eat of a ton of hay in a month, how much will 2 horses eat? How much will 8 horses eat? 10. If it take 12 yard of cloth to make a coat, how much will it take to make 8 coats? How much to make 24 coats? 27 11. If a barrel of cider cost 3,2 dollars, what will 10 barrels cost? What will 25 barrels coast? Note. 8 times = 1; 8 times is 7 times as much, that is, 7. Perform the following examples in a similar XIX. 1. A merchant bought 4 pieces of cloth, the first contained 183 yards, the second 27 yards, the third 234 yards, and the fourth 25 yards. How many yards in the whole? 2. A gentleman hired 2 men and a boy for 1 week. One man was to receive 5 dollars, the other 75, 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 26-3 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 2 in another; how many bushels had he in both? 5. If it takes 1 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 two boxes of butter; one had 73 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 three sheep; for the first he gave 63 dollars; for the second, 8; and for the third, 91. How many dollars did he give for the whole? 9. How many cwt. of cotton in four bags containing as follows; the first 4 cwt.; the second, 5 cwt.; the third, 4% cwt.; and the fourth 75% cwt.? 10. A merchant bought a piece of cloth containing 23 yards, and sold 7 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 18 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? *See First Lessons, Sect. XIII. 13. Bought of a ton of iron at one time, and of a ton at another; how much in the whole? 14. There is a pole standing so that of it is in the mud, of it in the water, and the rest above the water; how much of it is above the water? 1 1 15. A merchant bought 14 cwt. of sugar, and sold 8 cwt.; how many lb. had he left? 15 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 7 gallons; how many gallons were there left? 17. A man bought 2 loads of hay, one contained 173 cwt. and the other 23 cwt. How many cwt. in both? 18. A man had 43 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 92 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 8 years. What was her age? T 9 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 28 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 2 13 25. Add together 134 and 173. 26. Add together 137, 26 and 2432. 27. What is the difference between and ? 30. What is the difference between 137% and 984 ? 31. Subtract 384 from 533. 38 32. Subtract 284, from 81337. 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 barrel. 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 may hogsheads? 9. At $48.00 a barrel, how many barrels of brandy may be bought for $687.43? 10. At $90.00 a ton, how many tons of iron may be bought for 2,486 dollars? 11. If 23,000 lb. of iron cost $92,368.75, how much is it per lb. ? 12. Divide 784 by 28. 22. Divide 6,487 by 50. 748 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 numbers, 108, 112, 114, 120, 387, 432, 846, 936. 3. Find the divisors of each of the following numbers, 8000, 4,053, 1,864, 2,480, 24,876, 103,284, and 7,328,472. 4. Find the common divisors of 8 and 24. 5. Find the common divisors of 16 and 36. 6. Find the common divisors of 18 and 42. 7. Find the common divisors of 21 and 56. 8. Find the common divisors of 56 and 264. 9. Find the common divisors of 123 and 642. 10. Find the common divisors of 32, 96, and 1,432. 11. Find the common divisors of 7,362 and 2,484. 12. Find the common divisors of 73,647, 84,177, and 9,684 13. Reduce 1 to its lowest terms. 14. Reduce 48 to its lowest terms. 300 15. Reduce 300 to its lowest terms. 420 16. Reduce 96 to its lowest terms. 480 17. Reduce 486 to its lowest terms. 9720 18. Reduce 4746 to its lowest terms. 38173 19. Reduce 800 to its lowest terms. 42000 XXII. 1. Reduce and to the least common denominator. で |