much will 4 men consume? How much will 8 men consunie? 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 1⁄2 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 23 bushels of oats in a week, how much would he consume in 4 weeks? How much in 8 weeks? 20 8. At 73 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 142 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 is 7 times as much, that is, 7. Perform the following examples in a similar manner. 22. How much is 7 times ? 23. How much is 19 times 15? 24. How much is 23 times ? 25. Multiply 73 by 5. XIX. 1.* A merchant bought 4 pieces of cloth, the first contained 18 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 26, bushels of corn; to the second, 28,7 bush els, and to the third, 33 bushels. How many bushels did it take to pay them? 10 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 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 2 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 3 sheep; for the first he gave 63 dol lars; for the second, 8; and for the third, 94. 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, 53 cwt.; the third 4 cwt; and the fourth 7 cwt.? 10 3 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' lapour 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 53 cwt. at another; how much in the whole? 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, * See First Lessons, Sect. XIII of it in the water, and the rest above the water; how much of it is above the water? 15. A merchant bought 141 cwt. of sugar, and sold S 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? 1 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 8 years. What was her age? 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 3, 4, and 3. 24. Add together and 4. 25. Add together 13 and 17%. 26. Add together 137, 26, and 243%. 27. What is the difference between 3 and ? 28. What is the difference between and ? 29. What is the difference between 13 and 851 ? 30. What is the difference between 1373 and 984 ? 31. Subtract 33,4 from 533. 32. Subtract 284373 from $133. 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 nubers, 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, 94,177, and ,684. 13. Reduce to its lowest terms. 14. Reduce 48 to its lowest terms. 300 420 15. Reduce 300 to its lowest terms. 480 17. Reduce 486 to its lowest terms. 9720 18. Reduce 4746 to its lowest terms. 38433 19. Reduce 800 to its lowest terms. 42000 XXII. 1. Reduce and 2 to the least common denomi nator. or. 2. Reduce and 3. Reduce and 4. Reduce 2 and to the least common denominator. to the least common denominator. to the least common denominator. 5. Reduce and to the least common denominator. 18 6. Find the least common multiple of 8 and 12. 7. Find the least common multiple of 8 and 14. 8. Find the least common multiple of 9 and 15. 9. Find the least common multiple of 15 and 18. 10. Find the least common multiple of 10, 14, and 15. 11. Find the least common multiple of 15, 24, and 35. 12. Find the least common multiple of 30, 45, and 56. 13. Find the least common multiple of 32, 72, and 120. 14. Find the least common multiple of 42, 60, and 125. 15. Find the least common multiple of 250, 180, and 540. 16. Reduce and to the least common denominator. and to the least common denomina 17. Reduce 8 28 54 18. Reduce, 27, and 17, to the least common denomi hator. 19. Reduce, 5, 7 and 8, to the least common denomi nator. |