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12. In travelling on the rail-road from Springfield, we pass through Wilbraham and Spencer, and the distance from Springfield to Wilbraham is f of the distance from Springfield to Worcester; the distance from Wilbraham to Spencer is of the distance from Springfield to Worcester, and from Spencer to Worcester it is 18 miles. How far is it from Springfield to Worcester ? How far from Springfield to Wilbrahamn? from Wilbraham to Spencer ? from Springfield to Spencer ?

13. Marcellus spent f of his money for paper, of it for pens, and then had 10 cents left, which he spent for ink. How much money had he at first? How many cents did he spend for paper? for pens ?

14. If a yard of cambric cost 36 cents, and of a yard of cambric cost as much as # of a yard of muslin, what will a yard of muslin cost ?

15. If a yard of linen cost 56 cents and 6 of a yard of linen cost of as much as a yard of lawn, how much will a yard of lawn cost? What will / of a yard of lawn cost ?

16. If Joseph can earn 54 cents per day, and if it takes William By of a day to earn as much as Joseph can earn in of a day, how much can William earn in one day? in f of a

17. If a yard of muslin cost 70 cents, and 4 of a yard of muslin cost as much as a yard of cambric, what will a yard of cambric cost? What will # of a yard of cambric cost ?

18. A farmer, after selling his crops, found that he had received 72 dollars for hay, and that of what he had received for hay was 2 dollars less than of what he had received for potatoes. How

many dollars had he received for potatoes ? of what he had received for potatoes was 4 dollars more than $of what he had received for corn. How many dollars had he received for corn ?

19. A farmer, after selling his crops, found that he had received 81 dollars for corn, and that of what he had received for corn was 4 dollars less than of what he had received for potatoes; and that } of what he received for potatoes was 2 dollars more than of what he had received for hay. How many dollars had he received for hay?

20. Abner has 53 dollars, and of what he has is of a dollar more than 4 of what his brother Granville has. How many dollars has his brother Granville ?

21. Granville has 6 dollars, and # of what he has is 8 of a dollar more than of what his brother Abner has. dollars has Abner ?

day?

How many

22. Mr. Battles gave 25 dollars for a cow. 12 times what he gave for the cow is equal to 24 times what he gave for a heifer. What did he give for the heifer ?

23. Sidney gathered 64 quarts of walnuts. of what he gathered was ļof what Alfred gathered. of what Alfred gathered was 6 quarts less than of what Howard gathered. 14 times what Howard gathered was of what Oliver gathered. How

many quarts did Oliver gather? 24. Oliver gathered 70 quarts of walnuts. $ of what he gathered was lf tiines what Howard gathered. f of what Howard gathered was 6 quarts more than it of what Alfred gathered. } of what Alfred gathered was $ of what Sidney gathered. How many quarts did Sidney gather?

SECTION XV.

How many

A. 1. 3. times 2 tens how many tens ? units ? Then, how many are 3 times 20 ? 20 times 3 ?

2. 8 times 4 tens = how many tens ? How many units ? Then, how many are 8 times 40 ? 40 times 8?

Let the pupil now read the following, supplying appropriate numbers in place of the stars.

3. 7 times 6 tens =* tens, or * units; then 7 times 60 =*
4. 9 times 9 tens tens, or * units; then 9 times 90
5. 4 times 7 tens =* tens, or * units; then 4 times 70
6. 8 times 8 tens

* units; then 8 times 80 - *. 7. 3 times 9 tens = tens, or * units; then 3 times 90 * 8. 6 times 4 tens =*tens, or * units; then 6 times 40 =* 9. 7 times 8 tens * tens, or

then 7 times 80 =*. 10. 4 times 9 tens =* tens, or * units; then 4 times 90= 11. 6 times 5 tens =* tens, or * units; then 6 times 50 :* 12. 5 times 6 tens =*tens, or * units'; then 5 times 60 =*.

* tens,

or

* units;

B. 1. How many are 4 X 3? 4 X 30? 40 X 3? 3 X 40 ? 30 X 4?

2. How many are 7 X 377 X 30? 70 x 3? 30 X 7? 3 x 707

3. How many are 6 X 8? 6 X 80 ? 60 X 8? 80 x 6? 8 X 60 ?

4. How many are 9 X 5? 90 X 5? 9 x 50? 5 X 90 ? 5. How many are 8 x 7? 8 x 70 ? 7 X 80 ? 70 X 8? 6. How many are 5 X 6 ? 50 X 6? 60 X 5? 6 x 50 ? 7. How many are 9 X 9? 90 x 9? 9 X 90 ? 8. How many are 4 X 7? 40 X 7? 4 X 70? 7 x 40 ? 9. How many are 8 X 6? 8 X 60 ? 80 X 6? 60 X 8? 10. How many are 7 x 9? 9 X 70? 70 X 9? 7 X 90 ?

= 420 ?

C. 1. How many times 7 tens 21 tens? Then, how many times 70 = 210 ?

2. How many times 5 tens = 25 tens? Then, how many times 50 = 250 ?

3. How many times 6 tens = 42 tens? Then, how many times 60 =

4. How many times 8 tens = 40 tens? Then, how many times 80 = 400 ?

5. How many times 4 tens = 12 tens? Then, how many times 40 = 120 ?

Supply appropriate numbers, in place of the stars, in the following examples:

6. 81 tens = 9 times 9 tens; therefore, 810 = 9 times 90. 7. 18 tens = * times 2 tens » therefore, 180:

=* times 20. 8. 27 tens * times 3 tens; therefore, 270 =* times 30. 9. 90 tens * times 9 tens; therefore, 900 * times 90. 10. 54 tens =* times 6 tens; therefore, 540=* times 60.

11. 63 = 9 times 7; therefore, 630 = 9 times 70 times 7.

12. 45 * times 9; therefore, 450 =* times 90 * times 9.

13.45 =* times 5; therefore, 450 =* times 50 = times 5. 14. 32 = * times 4; therefore, 320

* times 4 = times 40.

15. 70 times 7; therefore, 700 * times 7 times 70.

= 90

16. 30 = * times 6; therefore, 300 = * times 6 times 60.

17. 72 =* times 9; therefore, 720 = * times 90 times 9.

18. 72 = * times 8; therefore, 720 = times 8 = * times 80.

19. £ of 36 = 9; therefore, t of 360 90, and I of 360

20. f of 36 =*; therefore, $ of 360 *, and ot of 360 =*

21. 1 of 16 =*; therefore, 1 of 160 =*, and to of 160 =*

22. of 49 =*; therefore, 1 of 490 =*, and of 490 —*

23. $ of 40 =*; therefore, st of 400 =*, and of 400 =*.

24. šof 54 =*; therefore, dy of 540 =*, and of 540

25. } of 35 =*; therefore, ito of 350 3*, and of 350 =*

26. of 27=*; therefore, 6 of 270 =*, and of 270 =*

= how

D. 1. 63 how many times 2? 1? 3? 6? Then, 60 = how many times 20 ? 10 ? 3? 6?

2. 24 = how many times 8 ? 6? 3? 4? Then, 240 = how many times 80 ? 8? 60 ? 6? 3? 30 ? 4? 40 ? 3. 30

many

times 6? 10 ? 3? 5? Then, 300 = how many times 6? 10 ? 3? 5? 60? 1? 30 ? 50 ?

4. 420 = how many times 7? 6? 70 ? 60 ?
5. 630 how many times 90 ? 7? 70? g?
6. 720 = how many times 80 ? 90 ? 8? 9?
7. 400 =

how
many

times 4? 40 ? 8 ? 100? 5? 50 ? 80 ? 10 ?

8. 180 how many times 2? 90 ? 6? 3? 20 ? 9? 60 ? 30 ?

9. 480 = how many times 6? 60 ? 80 ? 8?

10. 540 11. 350 12. 560

how many times 90 ? 60 ? 9? 6? how many times 50? 70 ? 5? 7? : how many times 7? 8? 80 ? 70 ?

E. 1. What is of 280 ? of 420 ? of 630 ? of 560 ? of 700 ? 2. What is to of 280 ? of 420 ? of 630 ? of 560 ? of 700 ? 3. What is f of 630 ? of 360 ? of 810 ? of 720 ? of 450 ? 4. What is ob of 630 ? of 360 ? of 810 ? of 720 ? of 450 ? 5. What is ļof 150 ? of 450 ? of 300 ? of 200 ? of 250 ? 6. What is z of 150 ? of 450 ? of 300 ? of 200 ? of 250 ? 7. What is at of 240 ? of 420 ? of 600 ? of 540 ? of 300 ? 8. What is so of 560 ? of 320 ? of 480 ? of 720 ? of 400 ? 9. What is ao of 320 ? of 400 ? of 200 ? of 160 ? of 360 ? 10. What is zo of 60 ? of 120 ? of 300 ? of 240 ? of 90 ? 11. What is of 540 ? of 300 ? Jy of 540 ? 12. What is t of 120 ? of 240 ? 1 of 350 ? 13. What is of 450 ? [ of 810 ? of 400 ? 14. What is zo of 450 ? to of 490 ? of 480 ? 15. What is to of 360 ? 30 of 180 ? 4 of 630 ?

4. 360 =

F. 1. 640 = of of what number?
2. 450 so of what number?
3. 560 =

} of what number?

of what number? 5. 80 : of what number? 6. 320 # of what number? 7. 18 z of what number? 8. 35 Zo of what number? 9. 18 =

od of what number? 10. 48 to of what number? 11. 28 = of what number? 12. 21 = 37 of what number? 13, 80 64 times what number? 14. 400 83 times what number? 15.. 240 84 times what number? 16. 420 =

88 times what number? 17. 540 14 times what number?

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