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1p. 15l. ; 27m. 4fur. 6ch. 2p. 171. ; 18m. 6fur. 3ch. 3p. 211.; 61m. 7fur. 7 ch. 2p. 161. ; and 17m. 1fur. 8ch. 2p. 191.

Ans. 160m. Ofur. Ich. lp. 121. 15. Required the sum of 27m. 4fur. 3ch. lp. 211. ; 29m. 3fur. Ich. 3p. 231. ; 67m. 3fur. 3ch. lp. 191. ; 21m. 7fur. 1ch. 3p. 161. ; 16m. 7fur. 9ch. 3p. 131. ; and 31m. 4fur. 8ch. 1p. 201.

16. Required the value of 29T. 36ft. 1279in. + 69T. 19ft. 1345in. + 67T. 18ft. 1099in. + 71T. 14ft. 1727in. + 43T. 35ft. 916in. + 53T. 17ft. 1719in.

Ans. 335T. 23ft. 1173in. 17. Add together 61 C. 127ft. 1161in. ; 37C. 89ft. 1711in.; 61C. 98ft. 1336in. ; 43C. 56ft. 1678in. 910. 119ft. 1357in. and 81C. 115ft. 1129in.

18. Required the value of 61 tuns 3hhd. 62 gal. 3qt. 1 pt. + 39 tuns 2hhd. 16gal. Iqt. Ipt. + 68 tuns 3hhd. 57gal. 2qt. 1 pt. + 87 tuns 3hhd. 45gal. 3qt. 1pt. + 47 tuns 2hhd. 59gal. 3qt. 1pt. + 47 tuns 3hhd. 39gal. 2qt. lpt.

Ans. 354 tuns Ohhd. 30gal. 1qt. 19. Required the value of 67hhd. 15gal. 3qt. 1pt. + 16hhd. 16gal. 3qt. + 39hhd. 16gal. 3qt. + 47hhd. 62gal. lqt. lpt. + 43hhd. 57gal. 3qt. + 71hhd. 61gal. 3qt. 1 pt.

20. Add together of beer measure 161hhd. 53gal. 3qt. 1 pt. ; 371hhd. 52gal. 3qt. 1pt.; 98hhd. 19gal. Iqt.; 47hhd. 43gal. 1qt. Opt. ; 61hhd. 43gal. Iqt. 1 pt. ; and 42hhd. 27gal. 3qt. 1 pt.

21. Find the amount of 37 bu. 3pk. 5qt. 1pt. + 61bu. 2pk. 7qt. 1pt. + 32bu. 3pk. 2qt. + 71bu. 1pk. 6qt. 1pt. + 61bu. 1pk. 3qt. lpt. + 32bu. 3pk. 3qt. 1pt.

Ans. 298bu. Opk. 4qt. 1 pt. 22. Required the value of 31bu. 3pk. 3qt. + 31bu. 3pk. 1qt. + 16bu. 3pk. Iqt. + 15bu. 3pk. + 17 bu. 3pk. Iqt. + 14bu. 3pk. 1qt.

23. Required the value of 57y. 11mo. 27d. 23h. 29m. 55s. + 31y. 11mo. 18d. 19h. 19m. 39s. + 46y. Imo. 23d. 17h. 28m. 56s. + 43y. 10mo. 16d. 18h. 17m. 48s. + 32y. 9mo. 19d. 16h. 23m. 28s. + 14y. Imo. 29d. 21h. 28m. 16s.

Ans. 227y. 7mo. 16d. 21h. 28m. 2s. 24. Required the value of 23w. 6d. 23h. 59m. 585. + 51w. 3d. 18h. 51m. 173. + 29w. 5d. 21h. 47m. 49s. + 28w. 4d.

23h. 56m. 18s. + 19w. 6d. 10h. 18m. 535. + 86w. 1d. 20h. 40m. 51s.

25. Add together 4S. 29° 59' 59' ; 6S. 17° 17' 29"; 11S. 16° 56' 58"'; 9S. 13° 46' 51"; 5S. 27° 16' 42"; and 2S. 25° 17' 17".

Ans. 5S. 10° 35' 16". 26. Add together 11S. 11° 16' 51"; 6S. 6° 6' 16"; 9S. 14° 56' 56''; 3S. 29° 29' 49"; 9S. 17° 18' 58"; and 6S. 13° 13' 52.

NOTE. — We divide the sum of the signs, in the last two questions, by 12, and write down the remainder only. Since the circumference of a circle cannot exceed 12 signs (Art. 143).

27. Bought of a London tailor a vest for 1£. 13s. 4d., a coat for 7£. 12s. 9d., pantaloons for 2£. 3s. 9d., and surtout for 9£. 8s. Od. ; what was the whole amount?

Ans. 20£. 17s. 10d. 28. Bought a silver tankard, weighing llb. 8oz. 17pwt. 14gr., a silver can, weighing llb. 2oz. 12pwt., a porringer, weighing 11oz. 19pwt. 20gr.; and 3 dozen of spoons, weighing llb. 9oz. 15pwt. 10gr. ; what was the whole weight?

Ans. 5lb. 9oz. 4pwt. 20 gr. 29. What is the weight of a mixture of 3lb 43 23 23 14gr. of aloe, 21h 73 63 13 13gr. of picra, and ilb 103 13 23 17gr. of saffron ?

Ans. 7 1h 103 33 17 4 gr. 30. Sold 4 loads of hay; the first weighed 27cwt. 3qr. 181b.; the second, 31cwt. lqr. 15lb.; the third, 19cwt. lqr. 15lb. ; and the fourth, 38cwt. 2qr. 24lb. ; what is the weight of the whole?

31. Bought 5 pieces of broadcloth; the first contained 17yd. 3qr. 2na. ; second, 13yd. 2qr. Ina.; the third, 87 yd. lqr. 3na. ; the fourth, 27yd. lqr. 2na.; and the fifth, 29yd. lqr. 2na. ; what was the whole quantity purchased ?

Ans. 175yd. 2qr. 2na. 32. A pedestrian travelled, the first week, 371m. 3fur. 37rd. 5yd. 2ft. 10in.; the second week, 289m. 2fur. 18rd. 3yd. Ift. 9in.; and the third week, 399m. 7fur. 3ft. 1lin. ; how many miles did he travel ? Ans. 1060m. 5fur. 16rd. 5yd. 1ft.

33. A man has three farms; the first contains 186A. 3R. 14p. ; the second, 286A. 17p.; and the third, 115 A. 2R. ; how much do they all contain ?

Ans. 588A. 1R. 31p.

34. The Moon is 5S. 18° 14' 17" east of the Sun; Jupiter is 7S. 10° 29' 28" east of the Moon; Mars is 11S. 12° 11' 56" east of Jupiter; and Herschel is 78. 18° 38' 15" east of Mars ; how far is Herschel east from the Sun?

Ans. 7S. 29° 33' 56'.

SUBTRACTION OF COMPOUND NUMBERS.

OPERATION,
£

S.

d.

146. SUBTRACTION of Compound Numbers is the process of finding the difference between two compound numbers. Ex. 1. From 617£. 11s. 8d. take 181£. 15s. 5d.

Ans. 435£. 16s. 3d. Having placed the less number un

der the greater, pence under pence, Min. 617 11 8

shillings under shillings, &c., we beSub. 181 15 5 gin with pence, thus: 5d. from 8d.

leaves 3d., which we set under the Rem. 43 5

16
3

column of pence. As we cannot take

15s. from ils., we add 20s. 1£. to the 11s., making 31s., and then subtract the 15s. from it, and set the remainder, 16s., under the column of shillings. Then, having added 1£. = 20s. to the 181£., to compensate for the 20s. added to the 11s. in the minuend, we subtract the pounds as in subtraction of simple numbers, and obtain 435£. for the remainder, and as the result complete, 435£. 16s. 3d.

RULE. Write the less compound number under the greater, so that units of the same denomination shall stand in the same column.

Subtract as in subtraction of simple numbers.

If any number in the subirahend is larger than that above it, add to the upper number as many units as make one of the next higher denomination before subtracting, and carry one to the next lower number before subtracting it.

Proof. — The proof is the same as in simple subtraction,

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m.

10.

11.
fur. rd. ft. in.

deg.
fur. rd.

yd. ft. 16 7 18 3 1

38 41 3 29 2 1 7 9 7 19 16 8

2 9 3 6 5 31 3 1 9 6 7 38 24 5

= 6 6 7 38 2 11

NOTE. - As half a foot is equal to 6 inches, we add them to the 5 inches, which make 11 inches.

12. From 67yd. lqr. Ina. lin. take 18yd. 2qr. 2na. 2in.

Ans. 48yd. 2qr. 2na. 1țin. 13. From 51E.E. 2qr. 3na. take 19E.E. 3qr. Ina.

14. From 56A. 1R. 19p. 119ft. 110in. take 17A. 3R. 13p. 127ft. 113in.

Ans. 38A. 2R. 5p. 264ft. 33in. 15. Find the value of 13A. 1R. 15p. 19yd. Ift. 17in. - 9A. 3R. 16p. 30yd. 5ft. 17in. 16. Subtract 19m. 2fur. 1ch. 3p. 211. from 21m. lfur. 3ch.

Ans. Im. 7fur. 1ch. 2p. 231. 17. From 28m. 6fur. Ich. 2p. 181. take 15m. 7fur. 3ch. lp. 191.

18. Required the value of 49T. 13ft. 1611in. 18T. 15ft. 1719in.

Ans. 30T. 37ft. 1620in.

2p. 191.

19. Required the value of 361C. 47ft. 1178in. · 1970. 121ft. 1617in.

20. Subtract 11tun 1hhd: 28gal. 2qt. 1pt. from 79tun 3hhd. 19gal lqt. 1 pt.

Ans. 68tun lhhd. 53 gal. 3qt. 21. Subtract of beer measure 191 hhd. 19gal. 3qt. from 769hhd. 18gal. 1qt. 22. From 56ch. 2bu. 1pk. take 38ch. 3bu. 1pk.

Ans. 17ch. 35bu. 23. Required the value of 25bu. 3pk. 1qt. — 12bu. 3pk. 5qt.

Ans. 12bu. 3pk. 4qt. 24. Required the difference between 6mo. 16d. 13h. 27m. 19s. and 1mo. 22d. 16h. 41m. 37s.

Ans. 4mo. 23d. 20h. 45m. 42s. 25. From 48y. Omo. 15d. 19h. 27m. 31s. take 19y. 10mo. 29d. 21h. 38m. 56s. 26. From 6S. 11° 12' 48" subtract 9S. 8° 15' 56''.

Ans. 9S. 2° 56' 52". 27. Take 1S. 22° 19' 28" from 4S. 19° 41' 22".

28. I have 73A. of land ; if I should sell 5 A. 3R. 1p. 7ft., how much should I have left ? Ans. 67A. OR: 38p. 265 ft.

29. A owes B 100£. ; what will remain due after he has paid him 3s. 6 d.?

Ans. 99£. 16s. 54d. 30. It is about 25,000 miles round the globe ; if a man shall have travelled 43m. 17rd. 9in., how much will remain to be travelled ?

Ans. 24,956m. 7fur. 22rd. 15ft. 9in. 31. Bought 7 cords of wood ; 2 cords 78ft. having been stolen, how much remained ?

32. I have 15 yards of cloth ; having sold 3yd. 2qr. Ina., what remains ?

Ans. 11yd. Iqr. 3na. 33. If a wagon loaded with hay weighs 43cwt. 2qr. 181b., and the wagon is afterwards found to weigh 9cwt. 3qr. 231b., what is the weight of the hay? Ans. 33cwt. 2qr. 20lb.

34. Bought a hogshead of wine, and by an accident 8gal. 3qt. 1 pt. leaked out ; what remains ?

35. I had 10A. 3R. 10p. of land; and I have sold two houselots, one containing 1A 2R. 13p., the other 2A. 2R. 5p.; how much have I remaining ?

Ans. 6A. 2R. 32p. 36. The Moon moves 13° 10' 35" in a solar day, and the Sun 59' 8'' ; now supposing them both to start from the

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