Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

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 85 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 74 gallons; how many gallons were there left ?

17. A man bought 2 loads of hay, one contained 17 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 94 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?

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 4, 4, and 2

2

24. Add together and 7.

13

25. Add together 134 and 17%

26. Add together 137, 26, and 2433.

27. What is the difference between

and ?

28. What is the difference between 4 and 1?

29. What is the difference between 13 and 8,? 30. What is the difference between 1373 and 984 ? 31. Subtract 334 from 533.

32. Subtract 2843 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 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 23.000 cwt. 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 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 9,684.

13. Reduce to its lowest terms.

14. Reduce 48 to its lowest terms.

300

15. Reduce 300 to its lowest terms.

420

16. Reduce to its lowest terms.

480

17. Reduce 486 to its lowest terms.

9720

18. Reduce 4746 to its lowest terms.

38433
800

19. Reduce to its lowest terms.

XXII. 1. Reduce and to the least common denomi

nator.

g

to the least common denominator.

to the least common denominator.

7

18

2. Reduce and 3. Reduce and 4. Reduce and to the least common denominator. 5. Reduce and 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 to the least common denominator. 17. Reduce and to the least common denomina

tor.

and

18. Reduce, 27, and 17, to the least common denomi

nator.

5

19. Reduce, 8, 12,

nator.

and, to the least common denomi

[blocks in formation]

1250

28000

23. Reduce and 40 to the least common denominator.

[ocr errors]

38

24. Reduce and ‰ to the least common denominator.

XXIII. 1.* At of a dollar a bushel, how many bushels of potatoes may be bought for 5 dollars? How many at of a dollar a bushel?

2. At of a shilling apiece, how many peaches may be bought for a dollar? How many at of a shilling apiece?

3. A gentleman distributed 6 bushels of corn among some labourers, giving them of a bushel apiece; how many did he give it to? How many would he have given it to, if he had given of a bushel apiece?

4. If it takes of a bushel of rye to sow 1 acre, how acres will 15 bushels sow?

many

5. A merchant had 47 cwt. of tobacco which he wished to put into boxes, containing cwt. each. How many boxes must he get?

6. A gentleman has a hogshead of wine which he wishes to put into bottles, containing of a gallon each. How many bottles will it take?

7. If of a barrel of cider will last a family 1 week, how many weeks will 7 barrels last?

8. If of a bushel of grain is sufficient for a family of two persons 1 day, how many days would 16 bushels last? How many persons would 16 bushels last 1 day?

9. If a labourer drink of a gallon of cider in a day, one day with another, how long will it take him to drink a hogshead?

10. If an axe-maker put of a lb. of steel into an axe, how many axes would 1 cwt. of steel be sufficient for? 11. If it take 1 bushel of oats to sow an acre, how many acres will 18 bushels sow?

12. If it take 1

bushel of wheat to sow an acre, how many acres will 23 bushels sow ?

* See First Lessons, Sect. XV

13. At 13 dollar a bushel, how much wheat may be bought for 20 dollars?

14. At 34 dollars a barrel, how many barrels of cider may be bought for 40 dollars?

15. At the rate of 15 bushels to the acre, how many acres will it take to produce 75 bushels of rye?

16. At 43 dollars per cwt., how many tons of iron can I buy for $150 ?

17. At 114 cents per lb., how much steel can I buy for $50.00 ?

18. If a man can perform a journey in 580 hours, how many days will it take him to perform it if he travel 9, hours in a day?

19. How many coats may be made of 187 yards of cloth, if 34 yards make 1 coat?

20. In 43 yards how many rods?
21. In 87 yards how many rods?
22. In 853 feet how many rods?
23. In 2,473 feet how many furlongs?
24. In 43,872 feet how many miles?

25. If 1 bushel of apples cost of a dollar, how many bushels may be bought for of a dollar?

26. At of a dollar a dozen, how many dozen of lemons may be bought for of a dollar? How many dozen for 13 dollar?

27. At of a dollar a dozen, how many dozen of oranges may be bought for of a dollar? How many for 23 dollars?. 28. At of a dollar a bushel, how many bushels of apples may be bought for of a dollar? How many for 53

dollars?

29. At of a dollar per lb., how many pounds of figs may be bought for of a dollar? How many pounds for 11 dollar?

30. At of a dollar a bushel, how many bushels of apples may be bought for 11⁄2 dollar?

31. If of a chaldron of coal will supply a fire 1 week, how many weeks will of a chaldron supply it?

32. If 1 lb. of sugar cost of a dollar, how many pounds may be bought for of a dollar? How many pounds for 11 dollar?

33. At of a dollar per bushel, how many bushels of apples may be bought for of a dollar? How many at g of a dollar per bushel?

« ΠροηγούμενηΣυνέχεια »