AVOIRDUPOIS WEIGHT. 8. 9. qr. T. cwt. qr. Ib. 16 1 13 0 14 11 1 0 1 17 3 27 1 15 9 18 3 1 OZ. T. 117 19 dr. 77 551 5 31 41 1 8 }=4 =16 77 56 1 31 5 0 2 SURVEYORS' MEASURE. 14. m. fur. cha. 21 3 5 9 5 8 p. 15. li. 31 7 1 1 19 18 1 7 3 23 11 5, 0 2 2 LAND OR SQUARE MEASURE. 16. 17. in. p. yd. A. 116 1 13 100 113 139 1 17 18 1 87 3 17 200 117 9 7 3 18 30 1 28 1 35 1714 140 = 36 28 1 3 5 172 32 in 30 31 SOLID MEASURE. 18. 19. T. ft. in. Cords. ft. in. 171 30 1000 571 18 1234 98 37 1234 199 19 1279 72 32 1494 T. hhd. 171 3 99 1 WINE MEASURE. 20. 21. T. gi. 8 1 1 1 71 1 1 1 1 1 19 3 1 3 9 3 3 3 1 3 72 1 51 1 1 2 61-624 22. ALE AND BEER MEASURE. 23. T. hhd. gal. qt. pt. T. hhd. gal. 15 1 17 79 2 2 2 9 3 19 3 1 19 3 13 3 0 1 ch. 716 19 DRY MEASURE. 24. 25. bu. pk qt. pt. ch. bu. pk. qt. pl. 1 2 1 0 73 13 3 0 1 9 3 1 19 18 1 3 1 CIRCULAR MOTION. 28. 29. S. 11 13 155 i 23 37 39 9 29 17 36 9 15 38 47 S. 1 7 55 39 4 7 58 52 Note. In Circular Motion, the minuend is sometimes less than the subtrahend, as in Ex. 29, in which case it must be increased by 12 signs. FIRST OPERATION. y mo. da. ART. 103. To find the time between two different dates. Ex. 1. What is the difference of time between October 16th, 1842, and August 9th, 1844 ? Ans. ly. 9mo. 23da. Commencing with January, the first month in the year, and counting the Min. 1844 7 9 months and days in the later date up to Sub. 1842 9 16 August 9th, we find that 7mo. and 9da. SECOND OPERATION. have elapsed ; and counting the months Rem. 1 9 23 and days in the earlier date up to Octo ber 16th, we find that 9mo. and 16da. Min. 1844 have elapsed. Then, setting down the 8 9 earlier date under the later, and placing Sub. 1842 10 16 the months and days at the right of the Rem. 1 9 23 year of each date respectively, as in the example, we subtract the lower number from the upper, and the remainder is the time between the dates. RULE. Set down the earlier date under the later, writing the year of each on the left, next after this the number of months that have elapsed since the beginning of the year, and on the right the day of the month. Then subtract as in the preceding rule. Note. – 1. A month in legal transactions is reckoned from any day in one month to the same day of the following month ; but in computing interest for less time than a month, and in finding the difference between two dates, 30 days are considered a month, and 12 months a year. Some prefer reckoning the number of the given month, instead of the number of months that have elapsed since the beginning of the year; the result is the same in both cases. See ad operation. EXAMPLES FOR PRACTICE. 2. What is the time from March 21st, 1843, to Jan. 6th, 1847? Ans. 3y. Imo. 15da. 3. A note was given Nov. 15th, 1832, and paid April 25th, 1837; how long was it on interest ? Ans. 4y. 5mo. 10da. 4. John Quincy Adams was born at Braintree, Mass., July 11th, 1767, and died at Washington, D. C., Feb. 23, 1848; to what age did he live? Ans. 80y. 7mo. 12da. 5. Andrew Jackson was born at Waxaw, S. C., March 15th, 1767, and died at Nashville, Tenn., June 8th, 1845 ; at what age did he die? Ans. 78y. 2mo. 23da. QUESTIONS. — Art. 103. From what period do you count the months and days in preparing dates for subtraction? How do you arrange the dates for subtraction ? How subtract? How many days are considered a month in business transactions ? What is the second method of preparing dates for subtraction ? & XIII. MISCELLANEOUS EXERCISES IN ADDITION AND SUBTRACTION OF COMPOUND NUMBERS. 1. What is the amount of the following quantities of gold 4lb. 8oz. 13dwt. Ngr., 5lb. 1loz. 19dwt. 23gr., 8lb. Ooz. 17dwt. 15gr., and 181b. 9oz. 14dwt. 10gr. ? Ans. 371b. 7oz. 5dwt. &gr. 2. An apothecary would mix 71 33 23 29 1 gr. of rhubarb, 2lb 103 03 13 13gr. of cantharides, and 21b 33 73 20 17gr. of opium ; what is the weight of the compound ? Ans. 121 53 33 03 llgr. 3. Add together 17T. 1lcwt. 3qr. 111b. 12oz., 11T. 17cwt. 1qr. 191b. lloz., 53T. 19cwt. lqr. 171b. 8oz., 27T. 19cwt. 3qr. 18]b. 9oz., and 16T. 3cwt. 3qr. Olb. 13oz. Ans. 127'T. 12cwt. lqr. 121b. 5oz. 4. A merchant owes a debt in London amounting to 7671£., what remains due after he has paid 1728£. 17s. 9d. ? Ans. 5942£. 2s. 3d. 5. From 731b. of silver there were made 261b. lloz. 13dwt. 14gr. of plate ; what quantity remained ? Ans. 461b. 0oz. 6dwt. 10gr. 6. From 711b 83 13 13 14gr. take 715 93 13 13 17gr Ans. 631b 103 73 23 17gr. 7. From 28T. 13cwt. take 10T. 17cwt. 191b. 14oz. Ans. 17T. 15cwt. 34r. 8lb. 2oz. 8. A merchant has 3 pieces of cloth; the first contains 37yd. 3qr. 3na., the second 18yd. Iqr. 3na., and the third 3lyd. lqr. 2na. ; what is the whole quantity ? Ans. 87yd. 3qr. Ona. 9. Sold 3 loads of hay; the first weighed 2T. 13cwt. lqr. 171b., the second 3T. 271b., and the third 1T. 3qr. 11lb. ; what did they all weigh? Ans. 6T. 14cwt. lqr. 271b. 10. What is the sum of the following distances: 16m. 7fur. 18rd. 14ft. llin., 19m. lfur. 13rd. 16ft. 9in., 97m. 3fur. 27rd. 13ft. 3in., and 47m. 5fur. 37rd. 13ft. 10in. ? Ans. 181m. 2fur. 18rd. 9ft. 3in. 11. From 76yd. take 18yd. 3qr. Qna. Ans. 57yd. Oqr. Ana. 12. From 20m. take 3m. 4fur. 18rd. 13ft. 8in. Ans. 16m. 3fur. 2lrd. 2ft. 10in. 13. From 144A. 3R. take 18A. IR. 17p. 200ft. 100in. Ans. 126A. IR. 22p. 71ft. 80in. are 14. From 18 cords take 3 cords 100ft. 1000in. Ans. 14 cords 27ft. 728in. 15. A gentleman has three farms; the first contains 169A. 3R. 15p. 227ft., the second 187A. IR. 15p. 165ft., and the third 217A. 2R. 28p. 165ft. ; what is the whole quantity ? Ans. 574A. 3R. 20p. 123ft. 16. Th piles of wood; the fir ins 18 cords 116ft. 1000in., the second 17 cords 111ft. 1600in., and the third 21 cords 109ft. 1716in.; how much in all ? Ans. 58 cords 82ft. 860in. 17. From 17T. take 5T. 18ft. 765in. Ans. 11T. 21ft. 963in. 18. From 169gal. take 76gal. 3qt. Ipt. Ans. 92gal. Oqt. 1pt. 19. From 17ch. 18bu. take 5ch. 20bu. 1pk. 7qt. Ans. llch. 33bu. 2pk. Iqt. 20. From 83y. take 47y. 10mo. 27d. 18h. 50m. 14s. Ans. 35y. Imo. 2d. 5h. 9m. 46s. 21. From 11S. 15° 36' 15" take 5S. 18° 50' 18". Ans. 5S. 26° 45' 57". 22. John Thomson has 4 casks of molasses; the first contains 167gal. 3qt. lpt., the second 186gal. Iqt. lpt., the third 108gal. 2qt. lpt., and the fourth 123gal. 3qt. Opt.; how much is the whole quantity ? Ans. 586gal. 2qt. lpt. 23. Add together 17bu. lpk. 7qt. lpt., 18bu. 3pk. 2qt., 19bu. lpk. 3qt. Ipt., and 5lbu. 3pk. Oqt. lpt. Ans. 107bu. lpk. 5qt. Ipt. 24. James is 13y. 4mo. 13d. old, Samuel is 12y. Ilmo. 23d., and Daniel is 18y. 9mo. 29d. ; what is the sum of their united ages ? Ans. 45y. 2mo. 5d. 25. Add together 18y. 345d. 13h. 37m. 158., 87y. 169d. 12h. 16m. 28s., 316y. 144d. 20h. 53m. 18s., and 13y. 360d. 21h. 57m. 15s. Ans. 436y. 290d. 20h. 44m. 16s. 26. A carpenter sent two of his apprentices to ascertain the length of a certain fence. The first stated it was 17rd. 16ft. llin., the second said it was 18rd. 5in. The carpenter finding a discrepancy in their statements, and fearing they might both be wrong, ascertained the true length himself, which was 17rd. 5yd. Ift. llin.; how much did each differ from the other? 27. From a mass of silver weighing 1061b., a goldsmith made 36 spoons, weighing 5lb. lloz. 12dwt. 15gr.; a tankard, 31b. Ooz. 13dwt. 14gr.; a vase, 7lb. lloz. 14dwt. 23gr.; how much unwrought silver remains ? Ans. 881b. lloz. 18dwt. 20gr. |