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.

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.

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: 10 f3 3f3; 2 0.4f3 7f3; 12 f3 5 f3; 6 f3 50 m; 7 f3 45m; and 3f3 57m. What was the amount sold?

Ans. 3 0. 14 f3 1f3 32 m.

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.

did they all raise?

How much 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 P. M.?

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

the Cape of Good Hope? From Pittsburgh to the Cape of Good Hope? Ans. to last, 74° 23′ 39′′.

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.

Ans. 6 cwt. 60 lb. 5.2 oz.

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

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

36. What is the sum of 43 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. 4 gr.

38. What is the sum of of a ton and 1⁄2 cwt.?

Ans. 13 cwt. 88 lb. 14 oz. 35 dr.

39. What is the sum of § of a gallon and of a gallon?

Ans. 1 gal. 2 qt. 14 gi.

40. What is the sum of of a circumference,

degree, and of a minute?

of a

Ans. 200° 38' 5".

of a furlong and

Ans. 5 fur. 9 rd. 3 yd. 2 ft. 11 in.

41. What is the sum of of a mile, of a rod ?

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.? 4 pk.?

3. Take from mi. 3 mi.; fur.; fur.; 4. How much is ch. less

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 9 acres and .5 of a rood; how much remained? 7. 4 tons + 10.5 cwt. 1.25 tons?