13. From £15. 13s. 94d. take £8. 19s. 7 d.

14. From £172. 16s. 8d. take £94. 18s. 10 d.

15. Borrowed £25. 14s. 11d., and returned in part £12. 17s. 6d. What remains due? Answer £12. 17s. 4 d.

16. Lent a person £158. 13s. 94d. and he has returned £79. 15s. 3 d. What remains due? Answer £78. 18s. 5d.

19. A merchant is indebted to A £253. 9s. 84d.-to B, £87. 13s. 104d. to C, £419. 15s. 11d.-to D, £148. 5s. 54d.-to E. £83. Os. 7 d.— to F, £716. 14s. 7d.-to G, £29. 13s. 34d.; but, upon examining his books, finds that A owes him £59. 4s. 6d.—B, £117. 2s. 111⁄2d.— C, £283. 16s. 84d.-D, £179. 4s. 34d.-E, £41. 5s. 94d.-F, £280. 10s. and G, £30. 17s. 1d. Is the balance in his favour? And how much?

The difference between the Totals is the Balance.

TROY WEIGHT.

6 from 20, 14. 17 from 16 cannot be takenborrow 20 (because 20 dwts.=1 oz.) 20+16 =36; 17 from 36, 19. 1, that was borrowed, added to 10, are 11-11 from 8 cannot be taken; borrow 12, (because 12 oz. = 1 lb.) 12+8=20. 11 from 20, 9. 1 is added to the pounds, and these performed as in Simple Subtraction.

The difference is 34 lb. 9 oz. 19 dwts. 14 grs.

17

275

dwts.

grs.

23. A silversmith had 71b. 8 oz. 9 grs. of silver, and melted down 3 lb. 10 oz. 7 dwts. 15 grs. How much had he remaining? Answer, 3 lb. 9 oz. 12 dwts. 18 grs.

27. A grocer bought 18 cwt. 1 qr. 17 lb. of sugar, and made 5 cwt. 2 qrs. 19 lb. into parcels. What quantity remained?

* To give an example in each of the following Weights and Measures would be unnecessary. They are all performed by one principle. When it is required, borrow as many of the less as make one of the next higher name.

31. An apothecary bought 3 lb. 2 oz. 5 drs. 1 scr. of rhubarb, and sold 1 lb. 5 oz. 3 dr. What quantity had he left?

35. Bought 37 sa. 1 wy. 3 tds. of wool, whereof 14 sks. 4 tds. being damaged; what quantity was fit for use?

39. From 853 yds.—take 201 yds. 2 qrs. 1 nl. 1 in.

Answer 651 yds. 1 qr. 2 nls. 1 in.

43. Take 7 mi. 6 fur. 32 po. from 18 mi. 3 fur.

47. A person had two pieces of ground: the first measured 19 acr. 3 rd. 17 po.; and the second, 43 acr. 1 rd. 19 po. How much larger was one piece than the other? Answer 23 acr. 2 rd. 2 po.

51. A cask of wine contained 48 gal. 2 qts.; and 19 gal. 3 qts. 13 pt. were drawn off. What was the quantity remaining?

[52]
Hhds. gal. pts.

42 17 3
18 21 6

BEER MEASURE.

Answer 28 gal. 2 qts. pt.

55. A brewer drew 7 hhds. 21 gal. 2 qts. from a large vat, which contained 18 hhds. 30 gal. How much beer remained?

ww.www

Answer 11 hhds. 8 gal. 2 qts.

63. From 78 months, take 43 mos. 1 wk. 3 dys. 1 hr.

Answer 34 mos. 2 wks. 3 dys. 23 hrs.

COMPOUND MULTIPLICATION Teaches to increase numbers of different denominations, by repeating them a proposed number of times.

When the Multiplier does not exceed 12.

Twice 2 (farthings) 4; 4 farthings=1 penny; carry 1 to the pence. Twice 8 and 1 are 17; 17d.=1s. 5d.; put 5 under the pence, and carry 1 to the shillings.

Twice 14 and 1 are 29; 29s. =£1. 9s. ; put 9 under the shillings, and carry 1 to the pounds. Twice 3 and 1 are 7.-The

Product is £7. 9s. 5d.

12 times 3 are 36; 36 farthings=9d., carry 9. 12 times 3 and 9 are 45; 45d. =3s. 9d., put 9 under the pence, and carry 3. 12 times 15 and 3 are 183; 183s. £9. 3s., put 3 under the shillings, and carry 9. 12 times 7 and 9 are 93. The product is £93. 3s. 9d.

Method of Proof is by Compound Division, when learned.

EXERCISES.

1. 2 lb. of Sugar, at 8d. per lb.

2. 3 yards of Cloth, at 2s. 34d. per yard.