in. 11 4. A gentleman has three farms, which measure as follows, viz. : 150 A. 3 roods, 14 poles; 175 A. 2 roods, 18 poles'; · 100 A. 1 rood, 39 poles; what do they measure in all ? Ans. 426 A. 3 roods, 31 poles. SOLID, OR CUBICK MEASURE. 1. 2. 3. Cds. ft. 47 36 1295 47 '18 1475 38 120 41 375 87 26 145 9 98 14 35 171 13 9 47 65 127 Ans. 74 13 113 4. A man bought 3 piles of wood, which contain as follows, viz.: 37 cords, 51 feet; 14 cords, 120 feet; 19 cords, 95 feet; how many cords did he purchase ? Ans. 72 cords, 10 feet. LIQUID MEASURE. 3. T. hhd. gal. qt. T. hhd. gal. 81 38 1 1 11 2 54 3 9 2 55 75 18 3 0 3 18 1 3 62 18 55 0 1 95 '1 15 2 81 1 60 Ans. 175 49 1 0 $ 17 19 4. A merchant bought three casks of whiskey, each containing 65gal. “Iqt. 1 pt.; what number of gallons did they contain ? Ans. 196gal. 1 pint. 3. *Ch. bu. pk. qt. pt. 45 3 5 1 41 3 3 1 75 24 3 3 1 84 2 7 84 1 2 0 65 19 1 1 0 95 :1 6 1 67 2 1 0 18 31 2 2 1 Ans. 226 03 0 4. A, sent to market at one time, 38 bushels 2 pecks, at an. other 29 bushels 3 pecks, at another 57 bushels 1. peck; what number of bushels did he send to market? - Ans. 125 bushels, 2 pecks. CIRCULAR MEASURE, OR MOTION. 2. 3. S. deg. m. sec. S. deg. m. S. deg. m. see. 3 25 17 24 4 23 48 4 23 56 59 1 15 49 50 6 29 48 6 8 44 48 8 12 55 11 7 26 55 3 9 6 36 Ans. 13 2 25 24 4. Add 11 signs, 24 degrees, 55 minutes, 25 seconds; 8 signs, 19 degrees, 59 minutes, 17 seconds; 8 signs, 29 de grees, 11 minutes, 18 seconds. Ans. 298. 14deg. 6m. COMPOUND SUBTRACTION, Is taking a less sum or quantity from a greater of different denomi. nations. RULE.- Place the less sum or quantity under the greater, so that those of the same denomination may stand directly under each other; begin with the least denomination, and if it exceed that directly above it, subtract it from as many of that denomination as shall equal a unit in the next higher, and to the difference add the upper denomination; remembering always, when you have thus subtracted, to add one to the next lower denomination ; but when the lower denomination does not exceed that directly above, you merely set down the difference, and proceed to the next without carrying, Proved by adding the difference to the subtrahend; and if the amount equal the minuend, the work is right. STERLING MONEY. 1. If a boy has 3 shillings and 9 pence given him, and he pays out 2 shillings and six pence; how much has he left? Ans. ls. 3d. s. d. Dém. - It is plain, by taking 6 pence from g 3 9 pence there will 3 pence remain; and by taking 2 6 & shillings from 3 shillings, 1 shilling must re main; and because the difference between the Ans. ls. 3d. pence is three pence; and the difference between the shillings, i shilling; the whole difference Proof. 38. 9d. must be 1 shilling and three pence. 2. A man lent his neighbour 4 pounds, 6 shillings, and 8 pence; he afterwards received 2 pounds, 16 shillings, and o pence; what is yet his due? Ans. £1 9s. 11d. £ d. DEM.-The pence in the subtrahend 4 6 8 exceeding the pence in the minuend, we subtract the 9 pence from twelve, (the 2 16 9 number which it takes to make a unit in Ans. 1 9 11 shillings,) by saying, 9 from 12, 3; and to 3, the difference, we add 8, the pence in the Proof. 4 6 8 minuend, which gives 11 pence to set down in the place of pence; we then add 1 to the shillings in the subtrahend, and say 17 from 20, (the number of shillings which it takes to make a pound;) 3 is the difference, to which we add 6, the shillings in the miņuend; we then havę.9 shillings to set down, and we add i to the pounds in the subtrahend; we then say, 3 from 4 leaves 1, which we set directly under. The 12 pence which we add to the minuend are just equal to the 1 shilling which we add to the subtrahend, so that it is adding equals to both the given sums; and adding equals to both, the difference must ever remain the same; this, however, by some, is called borrowing. 3. £. Not The student should béar in mind that the principles here are 46 16 11 2 the same as in simple numbers, only 10 18 10 3 that it takes different numbers here, to make a unit in the next higher; as Ans. 35 18 03 in farthings, it takes 4 to make a unit in pence; and in pence it takes 12 to make a unit in shillings; ani in shillings it takes 20 to make a unit in pounds. 4. 5. 7756 16 10 2 6050 10 10 3 d. qrś. S. d. qr's 14 12. Borrowed £29 16s., and paid £16 11s. 9d.; how much remains due ? Ans. £13 4s. 3d. 13. From £397 16s. 6d.; take £144 11s. 4d. 3qrs. Ans. £253 5s. 1d. lqr. 14. From seven pounds; take seven pence, three farthings. Ans. £6 19s. 4d. lqr. - 15. How much does eighty-nine pounds, sixteen shillings, eleven pence, three farthings, exceed forty-eight pounds, eleven shillings, ten pence, two farthings? Ans. £41 5s: 1d. Iqr. 16. From one thousand pounds; take one farthing Ans. £999 19s. 11d. 3qrs. 17. How much does two thousand pounds, exceed 19s. 62d.? Ans. £1999 Os. 5 d. TROY WEIGHT. 1. From 81b. 11oz. 16pwt. 19gr.; take 11b. 5oz. 12pwt. 23gr. Ans. 7lb. 6oz. 3pwt. 20 gr. 1. 2. 16. oz. pwt. gr. oz. pwt. gr. 8 11 16 19 86 17 9 1 5 12 23 78 3 8 20 6 3 · 20 Proof. 8 11 16 19 10 Ans. 7 AVOIRDUPOIS WEIGHT. 16 15 12 80 15 13 44 3 0 27 Ans. 1 12 1 gr. APOTHECARIES WEIGHT. 2. Ib 3 gr. th 3 84 4 6 4 2 8 40 7 3 30 9 7 3 2 9 24 4 5 Ans. 53 6 7 Proof. 8.4 A 6 2 7 DRY MEASURE. 2. 20 35 0 7 5 2 5 1 3. LIQUID MEASURE. 1. 2. 3. T. hhd. gal. qt: pt. gi. Hhd. gal. qt. Hhd. gal. qt. 88 3 55 3 0 0 44 50 2 54 59 3 48 0 62 2 02 20 60 3 45 60 2 Ans. 40 2 56 0 1 2 Proof. 88 3 55 3 0 0 CLOTH MEASURE. 3. E.E. qr. n. 27 2 3 *59 2 3 374 3 3 Ans. 200 3 Proof. 47:32 4. E.F. qr. n. 760 3 0 479 5 2 |