13. I sold a book for of a dollar, which is of a dollar less than it cost; what part of a dollar did the book cost?

I

14. 3 oranges are sold for a dime; what must for 2 dozen?

pay

15. If of a yard of ribbon cost 25 cents, what will of a yard cost?

16. How far is it round a field a mile long and of a mile wide?

17. of a quire of paper made one note-book; how many quires will be used in making 40 such

books?

18. Robert sold his sled for $13, losing the cost; what did the sled cost?

19. A cake of ice of a foot thick floats above the water; what part of a foot is below the surface? How many inches?

20. A boy bought of a bushel of chestnuts for $2, and sold them for 10 cents a quart; how much did he gain?

of a dollar, and

of a dollar a

21. Take of a dollar from with the remainder buy oranges at dozen. How many dozen can you buy?

of his age is

22. A man is 42 years old, and of the age of his son. How old is his son?

23. Bananas sell at the rate of of a dozen for of a dollar. At that rate, what will 60 bananas cost?

24. 3 times of is how many times ?

25. 21 × 51 = ? 31 × 61 =

=

26. The difference between two fractions is. One of the fractions is; what is the other?

27. What will 10 pounds of sugar cost at 6 cents a pound?

28. There are 16 feet in one rod. How many feet are there in 5 rods?

29. If shoes which cost $3 a pair are sold at of the cost, how many pairs can I get for $25? 30. Horace earns $1 a day. In how many days, at that rate, can he earn $50?

31. MISCELLANEOUS PROBLEMS.

1. In three pieces of carpeting that contain 44 yards, 393 yards, and 53 yards, how many yards?

2. A farmer sold two loads of hay, one for $15 and the other for $183, and received $29 down; how much is still due ?

3. Paid $3653 for a horse, and sold him for of what he cost; what was the loss?

4. Divide of 25 by 9 of 83.

5. If a man travel 680 miles in 8 days, how far would he travel in 5 days?

6. A miner digs 16, 21%, and 18 ounces of gold. He loses 3 ounces in washing. How inuch gold has he left?

7. I earned $133 one week, $153 the next week, $113 the next, and $18 the next; how much did. I earn in the four weeks?

8. I sold a horse for $185, and thereby lost. $95. How much did the horse cost?

9. Bought 47 yards of cloth; kept 83 yards, and sold the remainder at $3 a yard. What did I get for it?

How

10. From 240 acres of land, 43 acres are sold to one man, and of the remainder to another. many acres remain unsold?

11. An Illinois farmer had three wheat fields; the first produced 219 bushels, the second 407% bushels, the third 328 bushels. He sent 458 bushels to a flour mill, and sold 189 bushels. How many bushels were left?

12. If of a mill is worth $6335, what is threefourths of the remainder worth?

13. A person spending, %, and of his money had $783 left; how much had he at first?

14. If 9 tons of hay cost $95, how many tons can be bought for $108?

15. If 18 dozen eggs cost $42, how much will 133 dozen cost?

pound will

16. How many pounds of butter at 163 cents a pay for 24 pounds of sugar at 61 cents

21. How many weeks will it take to spend $182, if my weekly expenses are $22? If my income is $37 a week, how much do I save in that time?

22. Bought a half interest in a grocery for $1100. At the end of the year sold of my interest for $500. What part of the business do I still own? What is the entire grocery, or business, worth at that rate?

23. The income from my Iowa farm this year is $4500. One ninth of this amount equals four times my income from my orchard. What is the income from the latter? How many times as great is the income from the farm?

24. Mr. Jones is 48 years old. The ages of his wife and children expressed in parts of his age are as follows: wife's, 1 of his age; John's, ; Mary's, ; Susan's, ; and Robert's, . What is the age of each? What is the sum of their ages?

5

CHAPTER V.

1. DECIMAL FRACTIONS.

Draw a line upon the board ten feet long; divide it into ten equal parts. Each part is

called what?

Divide each tenth into ten equal parts. One tenth of one tenth is what part of the whole? One tenth of one hundredth is what part of the whole?

One tenth of one thousandth is what part of the whole?

How many thousandths make one hundredth? How many hundredths make one tenth?

These tenth parts are called decimal parts.

A dime is a decimal part of a dollar; a cent is a decimal part of a dime.

2. A decimal fraction is one or more of the decimal parts of a unit. The denominator is ten, or some power of ten.

3. In common fractions both terms are written, while in decimal fractions the denominator is indicated by the position of the right hand figure of the numerator with respect to the decimal point.