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8. What is the value of Solution. Since +4=1.

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9. Perforin by the method last explained each of the previous examples under this letter.

10. How many are 4 + 3 + 7? Then how many are 4 + 37? 47 +3?

11. How many are 6+5+1? Then how many are 6 +513? 517+6? 617+5?

12. How many are 873? 6+5? 12+218? 41 +47? 634 +18?

13. How many are 9841? 37+167? 43+ 517? 85+16?

14. How many are

++7? Then how many are 7

+&+£? 71⁄2 +&? Å+ 779 ?

15. How many are 7+3+69? Then how many are 69 +7+3? 6947 +38? 7 + 6931 ?

16. How many are 37 + §? 4% +76? 818+H? 53 + &?

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17. How many are +88? +39? 182 + ? ? ? 1471+?

18. How many are 4+3+? Then how many are 44 +33 ?

19. How many are 34+8? 971+8? 58 +8? 61 +15,?

20. How many are 18+ 4? 338 +431? 81893184? 21. How many are 14+1 +1 ?

Solution. +14=27 or 119, and 119 +14= 134 = 2. Ans. Or, naming only results, we should say, 14, 47, or 119, 132, 2, Ans.

2nd Solution. Since

+19119. Now since

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must equal 117+=2. Or, naming only results, we should say, 14, 114, 217, Ans.

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22. How many are ++? 7+9+4? +3 +18 +13?

23. How many are 18+3+}{? &+#+#? ## +34+14+39?

24. How many are + + }{+}{ ? fo + to ++ &?

25. How many are 33 +43 +5} + 73 ? 93 + 49 +54 +89?

26. How many are 61%+2% + 418 + tv + 318 + 217 +18?

27. How many are 311 +61 +213 + 1318 + 15 + 13 +61% +713?

28. How many are 88 +231 + 388 +678 +388 + J§ +33 + 188 ?

29. How many are 39% +27 +48 +27 + 73 + 173 + 우금?

F. 1. How many are 1

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2. How many are 1-? 1-f? 1-4? 1- ¿?

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? 1
1-4? 1-68? 1-

4. How many are 17 - ?

1st Solution. 17—H=H-1}=}}, Ans. 2nd Solution. 14-=1-£+Z=&+α= 12, Ans.

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3d Solution. 17-}} = 14—4— }} = 1 − }}= 1, Ans.

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5. How many are 187? 139 - 34? 1st - 18? 1773

6. How many are 1-? 1187-148? 1ff - 84 ? 우? 1급 7. How many are 7 *?

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Solution. 7 625, and 62-18613. Therefore, 71613, Ans.

8. How many are 8-4? 10-? 28-? 37? 41 ?

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9. How many are 12? 87-334? 49-? 5tij?

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10. How many are 16 - 7?

Solution. 167 = 15¥ — 7 = 157, Ans.

2nd Solution. 168—7—16—7+3=15}+3=157, Ans. 3d Solution. 163 — 7 — 16§ — § — — 157, Ans. -一号=

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11. How many are 17? 144? 31— jf? 12. How many are 15? 978-77? 475 7 — 7 7 8 ? 13. How many are 3111? 738 - 24? 6417 - 337 ? 14. How many are 47-2-§? 47-2§?

15. How many are 12-3-? 12-3? 16. How many are 97-213? 815 - 33? 17-5§§ ? 17. How many are 25-1813? 44-221? 3718 1927?

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18. How many are 498-31? 136-4314 — 2517 ? 19. How many are 64-314-284? 371 + 61 — 274 ? 20. How many are 44 + 27 — 233 ? 163 + 283 — 193 13?

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21. How many are 574 + 255 — 16§ — 235? 64 — 17? 22. How many are 443 — 278 + 23§ — 16† — 5} ? 23. How many are 2811 -6 + 533 — 233 ? 24. How many are 273-19-23 +67 +48? 25. How many are 100%

1613-14 - 181 - 21?

G. 1. Julia's father gave her 8 of a dollar, her mother gave her, her uncle gave her, and her brother gave her enough to make up 1 dollar. What part of a dollar did her brother give her? She spent of a dollar for books, for pens and pencils, for candy, and gave the rest to a charitable society. How much did she give to the charitable society?

2. of the scholars in a certain school were more than 15 years of age, were between 5 and 15, and the rest were under 5. What part of them were under 5? 8 of them were. girls, and the rest were boys. What part of the whole were boys? of them read in the first class, in the second, What part of

in the third, and the rest read in the primer. the whole read in the primer ?

3. A farmer has 17 acres of tillage, 271 acres of pasturage, 21 acres of woodland, and 7 acres of orchard. How many acres of land has he in all? If he should buy 12+ acres of meadow, and 9 acres of salt-marsh, how many acres of land would he have?

4. Jabez had 4 pieces of fish-line. The first piece contained 6 yds., the second 2g yds., the third 32 yds., and the fourth 9 yds. How many yards of line has he in all? How many more has he in all than there are in the first piece? than in the second? than in the third? than in the fourth? If he give the first piece, and 2 yards from the third, to Abner, how many yards will he have left?

5. Alfred spent 1 hours per day in studying arithmetic, 2 hours in studying his reading and spelling lessons, 1 hours in studying his geography, and ff of an hour in studying his grammar. How many hours did he spend in studying all his lessons? How many more hours in studying his reading and spelling lessons, than his arithmetic? than his geography? than his grammar? Besides the time spent in studying, he spent 2 hours per day in reciting, 1 hours in doing errands and working for his father, 2 hours in playing, 17 hours at his meals, and the rest of the time in sleeping. How many hours of each day did he spend in sleeping? How many more hours did he spend in sleeping than in studying? than in playing? than in doing errands? than in reciting? than at his meals?

6. Farmer Bowen had 17 tons of hay in his barn, and 1573 tons in his stacks. How many tons did he have in all? He moved 31 tons from his stacks into his barn. How many tons did he then have in his barn? in his stacks? How many more tons in his barn than in his stacks ?

7. A girl picked 26 quarts of blackberries in a week. She picked 3 qts. on Monday, 5 qts. on Tuesday, 477 qts. on Wednesday, 31 qts. on Thursday, 5 qts. on Friday, and the rest on Saturday forenoon. How many quarts did she pick on Saturday forenoon? She sold 128 qts., and gave the rest to her mother. How many quarts did she give to her mother? Her mother used 2 quarts for pies, 13 quarts for puddings, and then dried the rest. How many quarts did she dry?

8. Farmer Wilson and his son John, were engaged in gathering apples. Farmer Wilson gathered 84 barrels on Monday, 74 on Tuesday, 9 on Wednesday, 6 on Thursday, 74 on Friday, and 8 on Saturday. John gathered 54 barrels on Monday, 44 on Tuesday, 63 on Wednesday, 3 on Thursday, and on Friday, after having gathered 14 barrels, he fell from a tree and hurt him, so that he was unable to do any more work during the week. How many did Farmer Wilson gather during the week?

How many did John gather? How many did they both gather? How many more did Farmer Wilson gather than John?

9. The same farmer sold 8 barrels of his apples to Mr. Allen, 7 barrels to Mr. Hewitt, 117 to Mr. Willis, 14 to Mr. Brown, 123 to Mr. Jones, 78 to Mr. Bell, and kept the remainder for his own use? How many barrels did he keep for his own use? How many did he sell? He received from Mr. Allen, in payment for his apples, 15 dollars, from Mr. Hewitt 13 dollars, from Mr. Willis 257 dollars, from Mr. Brown 23 dollars, from Mr. Jones 2214 dollars, and from Mr. Bell 11 dollars. How many dollars did he receive in all?

SECTION X.

A. 1. How many are 7 X 3?

Solution.

7 times 3 one more three than 6 times 3; 6

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B. 1. How many times 420? 40? 28? 32? 24?

36 ?

2. How many times 10 =40? 80? 20? 50? 90? 30? 60? 100 ? 70?

3. How many times 728? 49? 63? 35? 70? 21? 56? 42? 14?

4. How many times 3 = 30? 21? 27? 24?

5. How many times 8 40? 64? 24? 32? 80? 48? 72? 56?

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