11. Divide 1 by 3, to hundredths; to thousandths; to ten thousandths.

12. Divide 16.9 by 1.3; 1.69 by 1.3; 1.69 by 0.13.

13. Divide, to hundredths, 1.82 by 0.12; 18.2 by 1.2; 182 by 12.

14. Divide $164.2 equally among 7 persons, without counting fractions less than

of a cent. 15. What is the value of }, to thousandths? Of, to thousandths? 16. How many dollars, dimes, and cents in of an eagle? How many dollars, cents and mills?

NOTE. less than

By cents are meant whole cents; that is, fractions of a cent are to be neglected, and fractions from a cent to 1 cent are to be called 1 cent.

17. How many dollars and cents in of an eagle? How many dimes, cents and mills?

IT

1

18. of 1 is how many thousandths, nearly? 19. of 1 is how many hundredths, nearly? 20. Divide 2 by 0.01; 3 by 0.001; 1 by 0.08; 1 by 0.008.

21. How many pounds of sugar, at 11 cents a pound, can be bought for $1.76?

22. On what principal will the interest for 0.7 years, at 6 per cent., be $2.52 ?

NOTE. - First find how much the interest on $1 for 0.7 years will be.

23. How many yards of cloth, at 26 yard, can be bought for $1.77?

24. Divide 1.77 by 0.3; by 0.003; by 3.

cents a

25. Divide 18.3 by 7, to hundredths; by 0.7, to hundredths; by 0.07, to tenths.

26. How long will it take a man to walk 26.45 miles, at the rate of 5 miles an hour?

27. At of a dollar a bushel, how many bushels of corn can be bought for $7.20 ?

28. When corn is of a dollar, and rye of a dollar a bushel, how many bushels, consisting of corn and rye in equal parts, can be bought for $7.35?

LESSON LXIV.

1. If 12 yards of cotton cloth cost $1.60, how much will 39 yards cost?

NOTE. 39 is 3 times 12, and 3 over; 3 is 3 times the cost of 12 yards gives $4.80, and 12 yards, $0.40.

of 12. Then the cost of

2. If 7 hundred-weight of beef cost $64, how much will 23 hundred-weight cost?

NOTE. 23 hundred-weight is 3 times 7 hundred-weight, and 2 hundred-weight over, and 2 hundred-weight is 1 quarter of 7 hundred-weight, and 1 quarter of 1 hundred-weight.

3. If 5 thousand of bricks cost $30, how much will 28 thousand cost?

4. 11 is to 33 as $0.54 is to what sum?

5. If 3 and 4 were 12, what, on the same supposition, would 2 and 31 be?

6. If the difference of two numbers is 29, and the greater is 207, what is the less?

7. When the difference between two numbers, and the greater number are given, how do you find the less?

8. If the difference of two numbers is 28, and the less 174, what is the greater?

9. When the difference between two numbers, and the less number are given, how do you find the greater?

10. Bought 232 pounds of beef, at 11 cents a pound, and sold half of it for 13 cents, and half for 14 cents a pound; how much did I gain?

11. Bought 28 yards of broadcloth, at $6 per

yard, and paid for the same in wood, at $7 per cord; how much did it take?

12. What cost 96 bushels of potatoes, at 25 cents a bushel?

NOTE. 25 cents is † of a dollar.

13. If the sum of two numbers is 5, and their difference is 3, what are the numbers ?

NOTE. — The sum of two numbers, added to their difference, gives twice the greater of the numbers. Because, in adding the sum and difference, the greater is added to itself, and the less subtracted from itself. In subtracting the difference from the sum, we subtract from the greater increased by the less, itself decreased by the less. This gives twice the less; once the greater in the sum, and once the less in the difference. Hence, if the sum of two numbers is 5, and their difference 3, the greater is of 5 and 3, or 4; and the less is of 5 less 3, or 1.

14. The sum of two numbers is 17, and their difference 5; what are they?

15. The sum of two numbers is 65, and their difference 19; what are they?

16. Two boys, on counting their money, found that the one had $46 more than the other, and together they had $54; how much had they each?

17. The sum of two numbers is 152, and their difference 68; what are they?

18. If 25 barrels of flour cost $1311, how much will 3 barrels cost?

19. What cost of a hogshead of molasses, at of a dollar a gallon?

20. What number, increased by 1, by, and by of itself, will amount to 39?

21. A and B undertake to travel round a circular island 20 miles in circuit, both starting from the same point, and going round in the same direction ; when A has travelled 19 miles, and B 8, how far apart are they?

22. Divide $100 between A, B and C, so that

B shall have $20 more than A, and C $15 less than B.

23. A man who has 60 sheep and lambs, finds that the number of the sheep, less the number of lambs, is of the flock; how many are there of each kind?

24. What part of the principal is 7 per cent. interest?

25. At what per cent. interest will $10 become $15, in 5 years?

26. The difference of two numbers is 5, and the less number is of the greater; what are the numbers?

27. When an article is sold at of its cost, what is the loss per cent.?

28. John Smith gave 9 cents a dozen for apples, and had 12 cents left; but, had he paid 12 cents a dozen, he would have spent all his money; how many apples did he buy?

NOTE.The 12 cents left was how many cents a dozen?

29. A man bought a certain number of quires of paper, at 18 cents a quire, and had 84 cents left; had he bought just as many quires at 24 cents a quire, he would have had 6 cents left; how much money had he?

30. Bought rice at 6 cents a pound, and sold it at 8 cents a pound; what per cent. was the gain?

31. A gentleman bought 15 cords of wood, oak and pine, for $55; he paid $5 a cord for the oak, and $3 a cord for the pine; how many cords were there of each, and how much did each kind cost?

32. A laborer agreed to work 30 days for $2 a day, and for every day he was idle to pay of a dollar for his board; he received $38; how many days was he idle?

LESSON LXV.

1. How many yards of cambric which is of a yard wide, will be required to line 30 yards of cloth that is 12 yards wide?

2. In a certain school of the pupils study algebra, geometry, and the remainder arithmetic; what per cent. of the whole are in each of the studies named?

3.less, plus, multiplied by 1, is how many times?

4. A dog one night killed 17 sheep, which was 5 per cent. of a flock; how many of the flock were spared?

5. If 4 bushels of wheat cost $92%, what cost of a bushel?

6. Joseph earned $1 week for board, and earnings for clothes; at he save in 4 weeks?

a day, and spent $3.50 a of the remainder of his that rate, how much can

7. If two men together can mow a field in 10 days, and one of them alone can mow it in 15 days, in what time can the other mow it?

8. The head of a fish is 9 inches long; the tail is as long as the head and half the body, and the body is as long as the head and tail both; how long is the fish?

=

NOTE. The head and tail: the body; the head and tail= the head the head + the body; then, twice the head the body-the body=the body; and the length of the body= 4 times the length of the head.

9. Bought a watch, chain and key, for $125; the watch cost 5 times as much as the chain, and the key cost 95 per cent. less than the watch; what was the cost of each?