Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

Miscellaneous

1. At $1 per day how long will it take a laborer to earn $671?

2. Divide of of 7 by § of 4 of 14.

3. A man who owned of an estate sold of his share. What part of the estate did he then own?

4. A man who owned & of a store sold of his share for $1406.25. What was the value of the store? What part had he left?

5. One man has $351; another has $62. If each gives to the other of what he has, how much more will the one then have than the other?

6. If of 10 bushels of oats cost $3%, how much will 20ğ bushels cost?

7. What number must be multiplied by 8 of 3o to give a product of 324?

8. A storm moves eastward at the rate of 18 miles per hour. In how many hours after the storm is first observed in Chicago should it be due in Pittsburg, 468 miles east?

9. Kerosene oil weighs 62 pounds to the gallon. Find the number of gallons in a tank car of oil weighing 39200 pounds.

10. A steam threshing machine averages 1 bushels of wheat per minute. How many minutes at the same rate will it take to thresh 3585 bushels ?

11. The average cost of the education per pupil in a certain city is $53. If the total cost is $16480, find the number of pupils attending school.

12. A contractor employs 6 men for 27 days and pays them $363. Find the average daily wages.

COMPLEX FRACTIONS

A complex fraction is a fraction which has a fraction or a mixed number in either or both of its terms.

1 4

Thus,

31

are complex fractions.

44

Such examples are simplified by the principles of division of fractions.

[merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][subsumed][subsumed][merged small][subsumed][ocr errors][subsumed][subsumed][subsumed][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][ocr errors][ocr errors][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][ocr errors]

FRACTIONAL RELATIONS

Finding what part one number is of another.

1. What part of 12 is 4? What part of 18 is 5? Express the answers also in the form of division.

[blocks in formation]
[ocr errors]

Thus,

2. What part of is? of is 2? How, then, can we find what part one number is of another?

Divide the smaller number by the larger number.

[blocks in formation]

12. 250 pupils belong to a school, and only 128 are present. What part of the whole number is present?

13. One year the population of a city was 220,000, and the next year 250,000. What fraction of the second year's population was the first year's?

14. The product of two numbers is 29,160, and one of the numbers is 27. What part of the other number is 27?

Finding a number when a fractional part of it is given.

1. If of a number is 30, what is the number?

If three fourths of the number is 30, one fourth of the number is one third of 30, or 10, and four fourths of the number, or the whole number, is 4 x 10, or 40. Hence, 30 is of 40.

[blocks in formation]

2. If is of a number, what is the number?

[blocks in formation]

11. If of a man's salary is $900, what is his salary?

16

12. A man lost in speculation $2700, which was of his entire fortune. What was his fortune?

13. If 11 of the number of books in a library is 9922, how many books are there in the library?

14. There are 30,205 women in a certain town, which is of the number of men. How many men are there?

15. An author spent $2100 for a piece of property, which wasof what he was paid for a novel. How much did

he receive for the novel?

REVIEW OF FRACTIONS

1. of 30 is of what number?

2. If 6 is added to both terms of the fraction, will the value be increased or diminished, and how much?

3. Change to its lowest terms.

4. The sum of two numbers is 4311. One of the numbers is 188. What is the other ?

5. If 5

tons coal cost $28.27, find the cost of 12 tons.

6. If 2 acres of land cost $110, how much will 12g acres cost at the same rate?

7. The dividend is 165, and the quotient is 67. What is the divisor?

8. Five tubs of butter contain, respectively, 27 lb., 301 lb., 241 lb., 327 lb., and 343 lb. How many pounds are there in the five tubs ?

9. Multiply the sum of and by their difference.

10. If 10 men can build a wall in 35 days, how long will it take 25 men to do the work?

11. There are 2721 square feet in 1 square rod. How many square rods are there in 43560 square feet?

12. If a man travels 24 miles in of an hour, at the same rate how far could he travel in 24 hours?

13. A man owning of a mine sold his interest for $48700. Find the value of the mine at that rate.

14. Find the difference between 21 × 33 and 24 ÷ 33.

15. A merchant owned of a store, and sold of his share for $5760. Find the value of the whole store at that rate.

16. How much will 18000 stamped envelopes cost at $21 per thousand?

« ΠροηγούμενηΣυνέχεια »