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II.-Reduce decimal or common fractions to the same denomination; find their sum and reduce it to a denominate number. Or,

Reduce decimals or fractions to denominate numbers; then find their sum.

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77 4 6 3 24

39053 15

1 6 15

63 5 2

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17. Find the sum of 15 T. 13 cwt. 23 lb. 14 oz. 13 dr.; 7 T. 12 cwt. 19 lb.; 17 cwt. 15 lb. 15 oz.; and 24 lb. 12 oz. Ans. 24 T. 2 cwt. 83 lb. 9 oz. 13 dr.

18. Find the sum in long ton weight of 6 T. 14 cwt. 2 qr. 26 lb. 12 oz. 10 dr.; 9 T. 18 cwt. 3 qr. 27 lb. 8 oz. 12 dr.; and 2 T. 3 cwt. 1 qr. 16 lb. 10 oz. 2 dr.

Ans. 18 T. 17 cwt. 14 lb. 15 oz. 8 dr.

lb. 33 gr.
586 2 17
29 72 16

9

19. The contents of 4 barrels measured 37 gal. 3 qt. 1 pt. 3 gi.; 39 gal. 2 qt. 1 gi.; 40 gal. 2 qt. 1 pt. 2 gi.; and 41 gal. 2 qt. 1 pt. 1 gi. Find the whole contents.

Ans. 159 gal. 3 qt. 3 gi. 20. A druggist sold laudanum as follows: 10f33f3; 20.4fz 7f3; 12f35f3;6f350 m; 7f3 45m; and 3f3 57m. What was the amount sold ?

Ans. 3 O. 14fz 1f3 32m.

21. Four farmers raised wheat one year as follows: A raised 75 bu. 3 pk. 5 qt. 1 pt.; B, 225 bu. 1 pk. 6 qt.; C, 135 bu. 2 pk. 4 qt. 1 pt.; and D, 96 bu. 3 pk. 7 qt. 1 pt. How much did they all raise? Ans. 533 bu. 3 pk. 7 qt. 1 pt.

22. How much time is there from 2 hr. 51 min. 35 sec. before 12 M. to 35 min. 45 sec. past 2 o'clock р. м.?

Ans. 5 hr. 27 min. 20 sec.

23. Find the sum of 13 wk. 4 da. 5 hr. 30 min. 37 sec.; 2 wk. 5 da. 22 hr. 45 min. 52 sec.; 6 wk. 3 da. 20 hr. 50 min. 28 sec.; and 6 da. 15 hr. 33 min.

Ans. 23 wk. 6 da. 16 hr. 39 min. 57 sec.

24. A has 16 quires 8 sheets of paper; B, 18 quires 15 sheets; C, 1 ream 10 quires 13 sheets; and D, 3 reams 17 quires 9 sheets. How much paper have all four?

Ans. 7 reams 2 quires 21 sheets.

25. A has 2 great gross 5 gross 10 doz. and 5 pencils; B, 2 great gross 10 gross 10 doz. and 8; C, 3 great gross 2 gross 2 doz. and 3; and D, 7 gross 4 doz. and 4. How many have all? Ans. 9 great gross 2 gross 3 doz. and 8.

26. The latitude of Pittsburgh is 40° 27′ 36′′ North, and the Cape of Good Hope is in 33° 56′ 3" South latitude. Through how many degrees of latitude must one travel to go from Pittsburgh to the Equator? From the Equator to Ans. to last, 74° 23′ 39′′.

the Cape of Good Hope? From Pittsburgh to the Cape of Good Hope? 27. Chicago is 10° 33′ 40.35" West longitude from Washington City; and New York is 3° 3′ 59.2" East longitude from Washington. Through how many degrees of longitude must a person travel in going from Chicago to Washington? In going from Chicago to New York?

Ans. to last, 13° 37′ 39.55". 28. What is the sum of £.628125, £.284375, and .15s.? Ans. 18s. 4d. 3.2 far. 29. Find the sum of. 703125 mi., .965625 mi., and .025 fur. Ans. 1 mi. 5 fur. 15 rd.

30. Find the sum of .282 T., .96 cwt., and .325 lb.

Ans. 6 cwt. 60 lb. 5.2 oz.

31. Find the sum of .815625 lb. Troy, .7 lb. Troy, .16 oz.

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36. What is the sum of 47 cords and 64 cord feet?

37. To lb. Troy add & oz.

Ans. 5 cd. 5 cd. ft. 12 cu. ft.

Ans. 9 oz. 9 pwt. 431 gr. cwt.? Ans. 13 cwt. 88 lb. 14 oz. 30 dr. 39. What is the sum of of a gallon and of a gallon? Ans. 1 gal. 2 qt. 14 gi.

38. What is the sum off of a ton and

40. What is the sum of f of a circumference, & of a degree, and of a minute? Ans. 200° 38' 5". 41. What is the sum of of a mile, & of a furlong and of a rod? Ans. 5 fur. 9 rd. 3 yd. 2 ft. 11 in.

SUBTRACTION |

243.

Oral Exercises

EXAMPLE. What is the difference between 3 gal. 2 qt., and 1 gal. 2 qt. ?

SOLUTION.-2 qt. from 2 qt. leave nothing; 1 gal. from 3 gal. leaves 2 gal. Therefore, the difference between 3 gal. 2 qt., and 1 gal. 2 qt., is 2 gal.

PROBLEMS.

1. Find the difference between 10 bu. 3 pk., and 5 bu. 2 pk.; 6 bu. 1 pk.; 7 bu. 3 pk.; 8 bu. 2 pk.; 9 bu. 3 pk. 2. What is left after taking from .5 bu. .35 bu.? .22 bu.? .16 bu. ? .125 bu.? .64 pk. ? .72 pk.?

3. Take from mi. 3 mi.;

4. How much is ch. less

pk.?

fur.; } fur.; & fur.

rd.? less 25 1.? less 20 ft.?

less.4 ch.? less.25 ft.? less 10.5 1.?

5. A merchant bought a hogshead of molasses containing

54 gallons, and sold from it 13 gallons and 2 quarts; how much remained?

6. A man owning 40 acres 2 roods and 20 perches of land, sold 94 acres and 5 of a rood; how much remained ?

7. 44 tons + 10.5 cwt. 1.25 tons = ?

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