cds ft. 10. Multiply 3 87 by 8 Practical Questions in WEIGHTS AND MEASURES. cds. ft. 29 56 1. What is the weight of 7 hhids. of sugar, each weighing 9 cwt. 3 qrs. 12 lb. ? Ans. 69 cut. 2. What is the weight of 6 chests of tea, each weighing 3 cwt. 2 qrs. 9 lb. ? Ans. 21 cwt. 1 gr. 26 lb. 3. How much brandy in 9 casks, each containing 41 gals. 3 qts. 1 pt. ? Ans. 376 gals. 3 qts. 1 pt. 4. In 35 pieces of cloth, each measuring 273 yards, how many yards? Ans. 971 yds. 1 qr. 5. In 9 fields, each containing 14 acres, 1 rood, and 25 poles, how many acres? Ans. 129 a. 2 qrs. 25 rods. 6. In 6 parcels of wood, each containing 5 cords and 96 feet, how many cords? Ans. 341⁄2 cords. 7. A gentleman is possessed of 1 dozen of silver spoons, each weighing 2 oz. 15 pwt. 11 grs. 2 dozen of tea-spoons, each weighing 10 pwt. 14 grs. and 2 silver tankards, each 21 oz. 15 pwt. Pray what is the weight of the whole? Ans. 8 lb. 10 oz. 2 pwt. 6 grs. COMPOUND DIVISION, TEACHES to find how often one number is contained m another of different denominations. DIVISION OF FEDERAL MONEY. Any sum in Federal Money may be divided as a whole number; for, if dollars and cents be written down as a simple number, the whole will be cents; and if the sum consists of dollars only, annex two ciphers to the dollars, and the whole will be cents; hence the following GENERAL RULE.-Write down the given sum in cents, and divids as in whole numbers; the quotient will be the answer in cents. NOTE. If the cents in the given sum are less than 10, you must always place a cipher on their left, or in the ten's place of the ta before you write them down. EXAMPLES. 1. Divide 35 dollars 68 cents, by 41. 328 41)3568(87 the quotient in cents; and when there is any considerable remainder, you may annex a cipher to it, if you please, and divide it again, and you will have the mills, &e. 238 287 Rem. 1 2. Divide 21 dollars, 5 cents, by 14. 14 14)2105(150 cents 1 dol. 50 cts. but to bring cents into dollars, you need only point off two figures to the right hand for cents, and the rest will be dollars, &c 70 70 5 Ans. 68 cts.+ Ans. 77 cts. Ans. $1 14 cts. 6m. 3. Divide 4 dols. 9 cts. or 409 cts. by 6. 98 cts. 8m. Ans. 9 cts. 9m. Ans. 198 cts. 8m.=$1 7. Divide 24 dols. 65 cts. by 248. 8. Divide 10 dols. or 1000 cts. by 25. 9. Divide 125 dols. by 500. 10. Divide 1 dollar into 33 equal parts. PRACTICAL QUESTIONS. Ans. 40 cts. Ans. 25 cts. 1. Bought 25 lb. of coffee for 5 dollars; what is that a pound? Ans. 20 cts. 2. If 131 yards of Irish linen cost 49 dols. 78 cts. what is that per yard? Ans. 38 cts. 3. If a cwt. of sugar cost 8 dols. 96 cts. what is that per pound? 4. If 140 reams of paper cost 329 per ream? 5. If a reckoning of 25 dols. 41 cts. be 14 persons, what do they pay apiece? 6. If a man's wages are 235 dols. 80 that a calendar month? Ans. 8 cts. dols. what is that Ans. $2 35 cts. paid equally among Ans. $1 81 cts. cts. a year, what is Ans. $19 65 çts, 7. The salary of the President of the United States, is twenty-five thousand dollars a year; what is that a day? Ans. $68 49 cts. To divide the denominations of Sterling Money Weights, Measures, &c. RULE.-Begin with the highest denomination as in simple divisIUM; and if any thing remains, find how many of the next lower denomination this remainder is equal to; which add to the next denomination: then divide agam, carrying the remainder, if any, as before; and so on till the whole is finished. PROOF. The same as in simple Division. Quo't. £19 8 £ s. d. 8)27 18 6 £39.93 £ S. d. EXAMPLES. 2. When the divisor exceeds 12, and is the product of two or more numbers in the table multiplied together. RULE.-Divide by one of those numbers first, and the quotient by the other, and the last quotient will be the answer. £ s. d. EXAMPLES. 1. Divide 29 15 0 by 21 2. Divide 27 16 0 by 32 3. Divide 67 9 4 by 44 £ s. d. Ans. 1 8 4 0 17 4 1 10 8 12. Divide 202 13 6 by 121 1 13 6 0 4 9 13. Divide 34 4 0 by 144 3. When the divisor is large, and not a composite number, you may divide by the whole divisor at once, after manner of long division, as follows, viz. EXAMPLES. 1. Divide 1281. 13s. 3d. by 47. Multiply by produces 47)128 13 3(2 14 9 quotient. 94 34 pounds remaining. 20 and add in the 13s. 693 shillings, which divided by 47, gives [14s. in the quotient. 47 Examples of Weights, Measures, &c. 1. Divide 14 cwt. 1 qr.8 lb. of sugar equally among 8 men. C. gr. lb. oz. 8)14 1 8 0 1.3 4 8 Quotient. 2. Divide 6 T. 11 cwt. 3 qrs. 19 lb. by 4. Ans. 1 T. 12 cwt. 3 qrs. 3. Divide 14 cwt. 1 qr. 12 lb. by 5. 25 lb. 12 az. Ans. 2 cwt. 3 qrs. 13 lb. 9 oz. 9 dr.+ 4. Divide 161b. 13 oz. 10 dr. by 6. Ans. 2 lb. 12 oz. 5. Divide 56 lb. parts. 6. Divide 26 lb. 15 dr. 6 oz. 17 pwt. of silver into 9 equal, Ans. 3 lb. 3 oz. 8 pwt. 13 grs.+ 1 oz. 5 wt. by 24. Ans. 1 lb. 1 oz. 1 pwt. 1 gr. 7. Divide 9 hhds. 28 gals. 2 qts. by 12. Åns. Ohhd. 49 gals. 2 qts. 1 pt. 8. Divide 168 bu. 1 pk. 6 qts. by 35. Ans. 4 bu. 3 pks. 2 qts. 9. Divide 17 lea. 1 m. 4 fur. 21 po. by 21. Ans. 2 m. 4 fur. 1 po. 10. Divide 43 yds. 1 qr. 1 na. by 11. Ans. 3 yds. 3 11. Divide 97 E. E. 4 qrs. 1 na. by 5. Ans. 19 yds. 2 qrs. 3 na.+ 12. Divide 4 gallons of brandy equally among 144 Ans. I gill apiece. soldiers. 13. Bought a dozen of silver spoons, which together weighed 3 lb. 2 oz. 13 pwt. 12 grs. how much silver did each spoon contain ? Ans. 3 oz. 4 pwt. 11 gr. 19 lb. of sugar, and sold out remains unsold? 14. Bought 17 cwt. 3 qrs. one third of it; how much Ans. 11 cwt. 3 qrs. 22 lb. 15. From a piece of cloth containing 64 yards 2 na. a tailor was ordered to make 9 soldiers' coats, which took one third of the whole piece; how many yards did each coat contain? Ans. 2 yds. 1 qr. 2 na. |