17. Divide £24 12s. 8d. by 21; by 2; by 31; by 33 by 41; by 41; by 42; by 5; by 5; by 53; by 5; by 61: by 63. 18. Divide 468 yds. 2 qrs. 2 na. by 31; by 33; by 35: by 47; by 5; by 5; by 61. 19. How many rods (51 yds.) in 1765 yds. 1 ft. 6 in.? Ans. 321 rods. 20. If 31 yards of cloth cost £4 10s. 6d., how much for one yard? Ans. £1 5s. 101d.+ 21. If 2 pieces of cloth contain 46 yds. 2 qrs. 3 na., how much in one piece? Ans. 16 yds. 2 qrs. 211 na. 22. Divide £5 17s. 4d. among 2 men and 3 boys, so that the men may have equal shares, and a boy of a man's share; how much for each? Ans. £2 2s. 8d. for a man, and 10s. 8d. for a boy. MISCELLANEOUS EXAMPLES. 1. A. owes B. £26 12s. 6⁄d., C. £28 14s. 91d., D. £36 18s. 4 d., and E. £44 12s. 6d.; how much does A. owe ir. all? Ans. £136 18s. 3d. 2. A man sold 4 pieces of silver weighing as follows: 2 lbs. 10 oz. 16 dwts. 12 grs., 1 lb. 9 oz. 12 dwts. 14 grs., 1 lb. 8 oz. 10 dwts. 20 grs., and 1 lb. 8 oz. 16 dwts. 20 grs.; what was the weight of the 4 pieces? Ans. 8 lbs. 1 oz. 16 dwts. 18 grs. 3. An apothecary ordered his apprentice to make a mixture of three sorts of drugs weighing as follows: 3lb 83 53 19 12 grs., 4lb 93 63 14 grs., and 5lb 103; what was the weight of the whole mixture? Ans. 14tb 43 33 20 6 grs. 4. Bought 4 boxes of sugar, weight (U. S.) as follows: 4 cwt. 2 qrs. 12 lbs., 4 cwt. 1 qr. 10 lbs., 4 cwt. 24 lbs., and 4 cwt. qrs.; what was the weight of the whole? Ans. 17 cwt. 3 qrs. 21 lbs. 5. Add 4 yds. 1 qr. 2 na. to 23 yds. 3 qrs. successively until you get 50 yds. 6. Add £3 18s. 6d. to £21 8s. 9d. successively until you get £45. 7. Bought a table for £4 12s. 6d., a doz. chairs for £9 18s., and sold the table and chairs for £16; how much did I gain? Ans. £1 9s. 6d. 8. Bought 36 cwt. 3 qrs. 14 lbs. of copperas, and sold at one time 12 cwt. 1 qr. 8 lbs., and at another time 10 cwt. 14 lbs.; how much have I remaining on hand? Ans. 14 cwt. 1 qr. 20 lbs. 9. From 252 mi. 5 fur. take 25 mi. 3 fur. 20 po. successively until 100 miles remain. 10. How much must be added to 22 yds: 3 qrs. 2 na. to make 40 yds. ? Ans. 17 yds. 2 na. 11. How much must be added to 2 hhds. 40 gal. 2 qts. 1 pt. to make a tun? Ans. 1 hhd. 22 gal. 1 qt. 1 pt. 12. From 443 gal. 3 qts. take 40 gal. 2 qts. 1 pt. successively until 200 gal. remain ? 13. If I have a lease on a house for 5 years, and I have lived in it 3 years and 2 m., how much longer may I occupy it? Ans. 1 y. 10 m. 14. The independence of the United States (by treaty) was acknowledged by Great Britain on the 30th of November, 1782; how long to the 4th of July, 1848? Ans. 65 y. 7 m. 4 d. 15. How many days from Jan. 1st to May 20th? Ans. 139 days. 16. How many days from July 1st to Jan. 10th? Ans. 193 days. 17. If a ship sail 12 miles in an hour, how far will she sail in 6 hours? in 10 hours? in 11 hours? in 14 hours? in 24 hours? in 2 days? in 3 days? in 1 week? Ans. 72-120; 132; 168; 288; 576; 864; 2016 miles. 18. If a man travel 4 miles in one hour, how far will he travel in 4 hours? in 6 hours? 48 hours? in 7 hours? in 12 hours? in Ans. 18; 27; 311; 54; 216 miles. 19. If a man travel 14 miles an hour, how far will he travel in 2 days, at the rate of 12 hours per day? in 3 days? in 4 days? in 6 days? Ans. 336; 504; 672; 1008 miles. 20. How many gallons in 2 barrels (wine mea.)? in 3? in 4? in 5? in 6? in 7? in 18? in 26 ? 21. How many days in 4 years (3651)? in 6? in 9? in 12? in 26? in 28 ? 22. The distance from the city of New York to Albany is 160 miles; how many miles must a man travel in an hour to go the whole distance in 9 hours? Ans. 17 mi. 6 fur. 9 po. 23. Bought 36 pieces of calico, each piece containing 24 yds. 2 qrs. and 3 na.; how many yards in all ? Ans. 888 yds. 3 qrs. 24. Bought 47 barrels of corn, each barrel containing 2 bush. 3 pks. 4 qts.; how many bushels? Ans. 135 bush. 4 qts. 25. Multiply 26 A. 1 R. 26 po. by 356. Ans. 9402 A. 3 R. 16 po. 26. Sold 12 lots of ground for £500; how much did I get for each lot? Ans. £41 13s. 4d. 27. In 42 pieces of stuff there are 939 yds. 3 qrs. ; how many yards in each piece? Ans. 22 yds. 1 qr. 2 na. 28. A silversmith bought 123 pieces of silver, weighing 264 lbs. 10 oz. 16 dwts. 22 grs.; what was the weight of each piece? Ans. 2 lbs. 1 oz. 16 dwts. 21 grs. + 29. How many stone of wire in 3784 lbs. ? Ans. 360 stone and 4 lbs. 30. How many barrels of flour in 91568 lbs. ? Ans. 467 bar. 36 lbs. 31. Divide a fother of lead into 3 equal parts; how much in each part? 32. How much is of £264? 34. Divide 482 A. 2 R. by 3. Ans. Ans. 6 cwt. 2 qrs. Ans. £211 4s. 1904 yds. 1 qr. 3 na. 35. Divide 286 h. 24 min. 45 sec. by 41. Ans. 723 A. 3 R. Ans. 63 h. 38 min. 50 sec. 36. How many pair of pants may be cut from 30 yds. 1 qr. of cassimere, allowing 23 yds. for each pair? Ans. 11 pair. 37. Divide 28 hhds. 40 gal. by ; by ; by 21; by 23; by 41. 57 hhds. 17 gal.; 42 hhds. 60 gal.; 11 hhds. 283 gal.; 10 hhds. 46 gal.; 6 hhds. 46, gal. Ans. { 38. Find the difference between 26 le. 2 mi. 6 fur. 30 po. and 14 le. 2 mi. 6 fur. 36 po. ? Ans. 11 le. 2 mi. 7 fur. 34 po. 39. Multiply the difference between 26 tons 28 ft. and 18 tons 32 ft. (round timber) by 4. Ans. 31 tons 24 ft. 40. Bought of John Hill, on my note at four months, 6 hhds. of sugar, weight as follows: No. 1, 926 lbs. net; No. 2, 974 lbs.; No 3, 1024 lbs.; No. 4, 989 lbs.; No. 5, 992 lbs.; No. 6, 899 lbs. how many lbs. in all ? Ans. 5804 lbs. 41. Divide £2642 12s. 6d. equally among 4 persons; among 6; among 12; among 123. Ans. { £660 13s. 11d.; £440 8s. 9d.; £220 4s. 41⁄2d.; £21 9s. 8d. + 42. Divide 262 yds. by ; by ; by 31; by 62. Ans. i 524 yds.; 349 yds. 1 qr. 11⁄2 na. ; 74 yds. 3 qrs. 11⁄2 na. ; 38 yds. qrs. 1 na. 43. What sum added to the of £150 12s. 8d., will make £100? Ans. £62 6s. 10d. 44. France acknowledged the independence of the United States on the 6th of Feb., 1778; how long from that time to the 4th of July, 1848 ? Ans. 70 yrs. 4 m. 28 d. 45. The divisor of a certain number is 28, and the quotient 103, what is the dividend? Ans. 2884. 46. The dividend of a certain number is 5768, and the quotient 206; what is the divisor? Ans: 28. 47. What is the difference between four times five and forty and four times forty-five? Ans. 120. 48. The subtrahend of a certain operation is 4826, and the remainder 3794; what is the minuend? Ans. 8620. 49. The minuend of a certain operation is 4682, and the remainder 2333; what is the subtrahend? Ans. 2349. 50. If you multiply the difference between £18 12s. and £10 8s. by 6, what will the product be? Ans. £49 4s. Ans. 243. 51. Divide the product of 9 times 486 by the product of 6 times 3. 52. If the product of 486 multiplied by a certain number be 4374, what is the multiplier ? Ans. 9. 77* CURRENCIES OF THE UNITED STATES. IN Maine, New Hampshire, Massachusetts, Vermont, Rhode Island, Connecticut, Virginia, Ohio, Kentucky, and Tennessee, the dollar is reckoned at 6 shillings; consequently, the value of the shilling is 163 cents. In New York and North Carolina the dollar is reckoned at 8 shillings, and the shilling is 12 cents. In New Jersey, Pennsylvania, Delaware, and Maryland, the dollar is reckoned at 7 shillings and 6 pence. The shilling is 13 cents. In South Carolina and Georgia the dollar is reckoned at 4 shillings and 8 pence, and the shilling is 213 cents. When there are 6 shillings to the dollar, divide 100 cents by 6, and you will have the value of the shilling in Federal Money. When there are 8 shillings to the dollar, divide by 8. When there are 7 shillings and 6 pence to the dollar, multiply 100 cents by 2, and divide by 15. When there are 4 shillings and 8 pence to the dollar, multiply 100 cents by 3, and divide by 14. In Canada and Nova Scotia the dollar is reckoned at 5 shillings-the shilling at 20 cents. In English or sterling money the dollar is reckoned at 4 shillings and 6 pence-the shilling at 22 cents. In Irish money the dollar is 4 shillings and 101 pence-the shilling 2030 cents. A pound sterling is equal to 4.444 dollars, United States money. An English guinea is equal to 4.663 dollars; but in business transactions they pass for 5 dollars at present, (Jan. 1849.) They however vary in value from time to time. REDUCTION. From Reduco, (Latin.) REDUCTION is the method of changing quantities from one denomination into another. There are two kinds of Reduction, viz.: Reduction Descending and Reduction Ascending. What is Reduction? How many kinds of Reduction are there? |