much will 4 men consume? How much will 8 men consume ? 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 ją 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 o 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 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? 8. At 7 dollars a barrel, what cost 5 barrels of flour ! 9. If a horse will eat 21 of a ton of hay in a month, how much will ? horses eat? How much will 8 horses eat? 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 3,25 dollars, what will 10 barrels cost ? What will 25 barrels cost ? 12. Multiply by 5. Note. 8 times =1; 8 times ] is 7 times as inuch, that is, 7. Perform the following examples in a similar mariner. 22. How much is 7 times + ? 29. Multiply 9-1977 by 1268. 30. Multiply 141867 by 1000. XIX. 1.* A merchant bought 4 pieces of cloth, the first contained 18} yards, the second 27+ yards, the third 237 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,/ bushels of corn; to the second, 281 bushels, and to the third, 3310 bushels. How many bushels did it take to pay them ? 4. A man had 2į bushels of corn in one sack, and 2 in another ; how many bushels had he in both ! 5. If it takes 14 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 į 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 6 dollars; for the second, 87; and for the third, 9. How many dollars did he give for the whole ? 9. How many cuts of cotton in four bags containing as follows; the first 4 cwt.; the second, 5; cwt. ; the third 41 cwt; and the fourth my cwt. ?. 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 264 bushels, and to the boy he gave 187 bushels. How many bushels did it take to pay both ? 12. Bought 8} cwt. of sugar at one time, and 51 cwt. at another; how much in the whole ? 13. Bought of a ton of iron at one time, and 4 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 815 cwt. ; how many Ib. 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 it. 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 171 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 9} years old ; the other said he was 411 years older. What was the age of the second ? 20. A lady being asked her age, said that her husband was 37 years old, and she was not so old as her husband by 8 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 28,4 years old, and she was 224. What was the difference of their ages ? 22. Add together į and 1. 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 $34.64 ; 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 doilars ? 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 100,789 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 15,003,406 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 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, 34,177, and 9,684. 13. Reduce 1 to its lowest terms. 42000 307 37433 XXII. 1. Reduce and a to the least common denomi nator. 2. Reduce and to the least common denominator. 3. Reduce and to the least common denominator. 4. Reduce and to the least common denominator. 5. Reduce ia and is to the least common denominator. 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, 48, 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. 17. Reduce and to the least common denominator. 18. Reduce , at, and 37, to the least common denominator. 19. Reduce , , 1z, and, to the least common denominator. / |