cds. It. 10. Multiply 3 87 by 8 ods. ft. 29. 56 Practical Questions in WEIGHTS AND MEASURES. 1. What is the weight of 7 hhds. of sugar, each weighing 9 cwt. 3 qrs. 12 lb. ? Ans. 69 cwt. 2. What is the weight of 6 chests of tea, each weighing 3 cwt. 2 qrs. 9 lb. ? Ans. 21 cwt. l.qr. 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 27 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. 11 6 parcels of wood, each containing 5 cords and 96 feet, how many Ans. 34} 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 ton's place of the 380 before you write them down. EXAMPLES. 1. Divide 35 dollars 68 cents, by 41. 41)3568(87 the quotient in cents ; and when theto 328 is any considerable remainder, you may annex a cipher to it, if you please, and 288 divide it again, and you will have the 287 mills, &e. Nem. 1 2. Divide 21 dollars, 5 cents, by 14. 14)2105(150" cents=1 dol. 50 cts. but to bring cents 14 into dollars, you need only point off two figures to the right hand for cents, and 70 the rest will be dollars, &c 70 C 5 3. Divide 4 dols. 9 cts, or 409 cts. by 6. Ans. 68 cts. + 4. Divide 9 dols. 24 cts. by 12. Ans. 77 cts. 5. Divide 97 dols. 43 cts. by 85. Ans. $1 14 cts. 6m. 6. Divide 248 dols. 54 cts. by 125. Ans. 198 cts. 8m.==$1 98 cts. 8m. 7. Divide 24 dols. 65 cts. by 248. Ans. 9 cts. Im. 8. Divide 10 dols. or 1000 cts. by 25. Ans. 40 cts. 9. Divide 125 dols, by 500. Ans. 25 cts. 10. Divide 1 dollar into 33 equal parts. Ans. 3 cts. to PRACTICAL QUESTIONS. 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. 8. If a cwt. of sugar cost 8 dols. 96 cts. what is that per pound ? Ans. 8 cts. 4. If 140 reams of paper cost 329 dols. what is that Ans. $2 35 cts. 5. If a reckoning of 25 dols. 41 cts. be paid equally among 14 persons, what do they pay apiece? Ans. $1 81; cts. 6. If a man's wages are 235 dols. 80 cts. a year, what is that a caleudar month? Ans. $19 65 cts, per ream ? £ s. d. qr. %. 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, foc. Rule.-- Begin with the highest denomination as in simple divisius.; 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 again, carrying the remainder, if any, as before ; and so on till the whole is finished. Proor. The same as in simple Division. EXAMPLES. £ Divide 97 3 11 2 by 5 8)27 18 6 Quo't. £19 8 9 2 £3 993 £ d. £ d. 3. Divide 31 11 6 by 2 Ans. 15 15 9 4. Divide 22 3 9 by 3 7 7 11 5. Divide 70 10 4 by 4 17 12 7 6. Divide 56 11 5 by 5 11 6 3, 7. Divide 61 14 8 by 6 10 5 9 8. Divide 24 15. 6; by 3 10 9. Divide 185 17 6 by 8 23 4 10. Divide 182 16 8 by 9 20 6 U. Divide 16 1 11 by 10 1 12 12. Divide 1 19 8 by 11 0 3 7 13. Divide 6 6 6 by 12 0 14. Divide 1 2 6 by 9 0 2 6 15. Divide 948 11 6 by 12 79 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. EXAMPLES. £ s. d. £ s. d. 1. Divide 29 15 0 by 21 Ans. 1 8 4 2. Divide 27 16 O by 32 3. Divide 67 9 4 by 44 10 6 0 11} 1 10 8 0 17 41 by 72 £ € d. 4. Divide 24 16 6 by 36 0 13 9 5. Divide 128 9 0 by 42 3 1 2 6. Divide 269 12 4 by 56 4 16 3 7. Divide 248 10 8 by 64 3 17 8 8. Divide 65 14 0 0 18 3 9. Divide 5 10 3 by 81 0 1 41 10. Divide 115 10 O by 90 1 5 8 11. Divide 136 16 6 by 108 1 5 4 12. Divide 202 13 6 1 13 6 13. Divide 34 4 0 0 4 9 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 £ s. d. £ s. d. 94 by 121 by 144 34 pounds remaining. Multiply by 20 and add in the 13s. produces 693 shillings, which divided by 47, gives 47 [14s. in the quotient. 35 shillings remaining. Multiply by 12 and add in the 3d. produces 423 pence, which, divided as abuse, 423 [gives 9d. in the g sotieni. g £ d. £ s. d. 2. Divide 113 13 4 by 31 Ans. 3 13 3. Divide 85 6 3 by 75 1 2 9 4. Divide 315 3 10! by 365 0 17 31 5. Divide 132 08 by 68 1 18 10 6. Divide 740 16 8 by 100 7 8 2 7. Divide 888 18 10 by 95 s. Examples of Weights, Measures, foc. 1. Divide 14 cwt. Iqr. 8 lb. of sugar equally among men, C. gr. lb. oz. 8)14 1 8 0 1 3 4 8 Quotient. 8 14 1 8 0 Proof. 2. Divide 6 T. 11 cwt. 3 qrs. 19 lb. by. 4. Ans. 1 T. 12 cwt. 3 qrs. 25 lb. 12 oz. 3. Divide 14 cwt. 1 qr. 12 lb. by 5. Ans. 2 cwt. 3 qrs. 13 lb. 9 oz. 9 dr. + 4. Divide 16 lb. 13 oz. 10 dr. by 6. Ans. 216. 12 oz. 15 dr. 5. Divide 56 lb. 6 oz. 17 pwt. of silver into 9 equal, parts. Ans. ; ib. 3 oz. 8 pwt. 13 grs.t 6. Divide 26 lb. 1 oz. 5ivt. by 24. Ans. 1 lb. 1 oz. 1 prot. 1 gr. 7. Divide 9 hhds. 28 gals. 2 qts. by 12. Ans. 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. I 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 qrs. 3 na. 11. Divide 97 E. E. 4 qrs. 1 na. by 5. Ans. 19 yds. 2 qrs. 3 na. + 12. Divide 4į gallons of brandy equally among 144 soldiers. Ans. I gill apiece. 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. 14. Bought 17 cwt. 3 qrs. 19 lb. of sugar, and sold out one third of it; how much remains unsold ? Ans. 11 cut. 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 3 Ans. 2 yds. 1 qr. 2 na. |