9702 = 336= 168= 42=1 hogsheads. 14553 = 504= 252= 63=1,5=1 puncheons. 19404 672336 84=2 =13=1 pipes. 291061008= 504-126=3 =2=1,5=1 tun 58212 2016-1008-252=6 =4 =3 =2=1 1. In I tun, 1 pi. 1 pun. 1 hhd. 1 tier. 20 gal. 3 qt. 1 p. how many inches? Ans. 135799,125. 2. In 1357999,125 inches, how many tuns, &c.! Ans. 1 tun, 1 pi. 1 pun. 1 hhd. 1 tier. 20 gal. 3 qt. 1 pt. ALE OR BEER MEASURE. This measure is used for measuring milk, ale, and beer. 2 pints make one quart, marked qt. "gallon, 4 quarts gal. 36 gallons 54 gallons hhd. 2 hogsheads butt, -288-144 36-4-2=1 hhd. butt. In Massachusetts, the barrel for cider and beer is 32 gal. The ale gallon contains 282 cubic solid inches. 1. In 3 butts, 2 pun. 5 hhd. 3 bar. 6 kilderkins, 9 firkins, 7 gal. 5 qts. 3 pts. how many cubic inches? Ans. 2943024. 2. In 3807000 cubic inches how many butts? Ans. 125. DRY MEASURE. This measure is used in measuring all kinds of grain, fruit, roots, coal, &c. 86016 172032 = 6432=8=4=2=1 wey. 8601,6= 32 16- 42=1 quarter 320-160-40=20=10=5=1 last. 640-320-80=40-20-10=2=1 1. In 5 lasts, 3 weys, 2 qrs. 1 co. 1 str. 1 bu. 3 pk. 1 gal'on, 2 qt. 1 pt. how many cubic inches? Ans. 1169716,8. 2. In 1169716,8 inches, how many lasts, weys, qrs. &c.? Ans. 5 lasts, 3 weys, 2 qrs. 1 co. 1 str. 1 bu. 3 pk. 1 gal. 2 qt. 1 pt. The following denominations are frequently used. 12 particular things make one dozen. 1. How many guineas, of 28 shillings each, are there in £84? Ans. 60. 2. In 75 pistoles, of 22 s. each, how many pounds? 3. In 75 pistoles how many dollars? 4. In 42 guineas how many dollars? of coin, each 4 s. 6 d.? Ans. £82 10 s. Ans. 275. Ans. 196. how many pieces Ans. 406456 6. In 59 lbs. 13 pwts. 5 grs. how many grains? 7. In 420 quarter guineas how many Ans. 340157. moidores? Ans. 813. 8. In 274 marks, each 17 s. 9 d. and 87 nobles, each Ans. £281 19s. 3 d. 8 s. 11d. how many pounds? 9. Suppose a young man to be 20 years old, how many seconds has he lived, allowing a year to be 365 days, 6 hours? Ans. 631152000. 10. How many times will a wheel, which is 18 feet 4 inches in circumference, turn over in passing through the space of 2 miles? ****11. In 60 years how many seconds? Ans. 1893456000. 12. How many sparrows, at the rate of 10 for a penny, would pay for an ox worth £20 ? Ans. 48000. 13. In 100 dollars, 40 guineas, 64 moidores, and 3d. how many pounds sterling? Ans. £201 4 s. 6 d. 14. In 9 cords and 48 cubic feet how many cord feet? Ans. 75. 15. In 25 cords how many feet, board measure? 16. In 8 tuns of wine how many pints? An's. 38400. Ans. 16128. 17. In £29 how many groats, at 4 d. each? Ans. 1740. 18. In 473 French crowns, at 6 s. 8 d. each, how many three-penny pieces? Ans. 12613. 19. In 473 half, Johannes, at 48 s. each, how many 14 penny pieces? Ans. 18816. 20. In 1259 groats how many farthings, pence, shillings, and guineas? Ans. 20144 qrs. 5036 d. 419 s. 8 d. 14 guineas, 27 s. 8 d. 21. What will 87 bushels and a peck of meal come to, at 2 cents per quart? Ans. 50 dollars. IX. Compound Numbers. Numbers of the same name, or kind, are called simple numbers. Numbers of different denominations are com pound. COMPOUND ADDITION. Compound Addition is putting together numbers of different denominations, to find the whole sum, or amount. RULE.-Place numbers of the same denomination directly under each other. Begin at the right hand, and add successively the figures in each column as in simple numbers, observing to carry for that number of the given column which makes a unit of the next higher denomination, or the next left-hand column. 1. Add £2 8 s. 11 d., £3 9 s. 10 d., £8 19 s. 4 d. 3 qr., £25 11 s. 9d. 2 qr. In this example, I place pounds under pounds, shillings under shillings, pence under pence, farthings under farthings. I begin at the right hand, and add the column of farthings. As 4 farthings make a penny, I place 4 over farthings, and divide by it, setting down the remainder under farthings, and carrying the quotient to the next lefthand column. I proceed in this manner till I come to the last column. Pounds being the highest denomination in English money, I add them, and set down the whole amount. Every 4 farthings make 1 penny; therefore, as many times. as 4 are contained in the given number of farthings, so many pence there would be. If there be a remainder, in dividing farthings by farthings, it will be farthings, and must. be written down according to the rule, that is, under the, column of farthings. As 12 pence make 1 shilling, as many times as 12 are contained in the given number of pence, so many shillings there will be. If there be a remainder in dividing pence by 12, it will be pence, and must be written under the column of pence, according to the rule. The same principle applies to all the operations of carrying in compound addition. 2. A man sold a horse for £20 8 s. 12 d., a chaise for £60 9 s. 9 d., a yoke of oxen for £25 11 s. 8d.; what amount of money did he receive for all he sold ? Ans. £106 10 s. 5 d. |