ou will have the only point of te d. qr. £ s 3, &c. i. Ans. 68 ctet Ans. 77 cts. $1 14 dis. Om 7. The salary of the President of the United State twenty-five thousand dollars a year; what is that a da and when there Ans. $68 49c nainder, you may To divide the denominations of Sterling Money f you please , and Weights, Measures, fc. RULE.-Begin with the highest denomination as in simple div and if any thing remains, find how many of the next lower de nation this remainder is equal to ; which add to the next deno tion : then divide again, carrying the remainder, if any, as b and so on till the whole is finished. PROOF. The same as in simple Division. but to bring cente EXAMPLES £ s. ind for cents, and Divide 97 3 11 2 by 5 8)27 1 Quo't. £19 8 9 2 £3 £ d. £ 3. Divide 31 11 6 by 2 Ans. 15 1 4. Divide 22 3 9 by 3 7 5. Divide 70 10 4 by 4 17 1 6. Divide 56 11 5 by 5 11 7. Divide 61 14 8 by 6 10 8. Divide 24 15 63 by 7 3 1 9. Divide 185 17 6 by 8 23 10. Divide 182 16 8 by 9 20 U. Divide 16 1 1) by 19 1 12. Divide 1 19 8 by 11 0 13. Divide 6 6 6 by 12 0 14. Divide 1 2 6 by 9 0 15. Divide 948 11 6. by 12 79 2. When the divisor exceeds 12, and is the produc or more numbers in the table multiplied togeth. RULE.—Divide by one of those numbers first, and the qu Nee other, and the last quotient will be the answer. EXAMPLES. d. Ans. 1 +91 98 cts. Om. Ans. I cts. Im. Ans. 40 cts. Ans. 25 cts. Ans. 3 cts.to 5 what is that a Ans. 20 cts. yhat is that per £ s. Ans. 8 cts. .. what is that 25. $2 35 cts. equally among 81 81 cs. year, what is $19 65 cts. S. d. 4 16 31 d. £ 4. Divide 24 16 6 by 36 0 13 91 - 5. Divide 128 90 by 42 3 1 2 6. Divide 269 12 4 by 56 7. Divide 248 10 8 by 64 3 17 8 8. Divide 65 14 0 by 72 0 18 3 9. Divide 5 10 3 by 81 0 1 41 10. Divide 115 100 by 90 1 5 8 11. Divide 136 16 6 by 108 1 5 4 12. Divide 202 13 6 by 121 1 13 6 13. Divide 34 4 0 by 144 0 4 9 3. When the divisor is large, and not a composite num. her, you may divide by the whole divisor at once, after man. ner of long division, as follows, viz. EXAMPLES. S. d. £ s. d. 94 35 shillings remaining. Multiply by 12 and add in tho 3d. produces 423 pence, which, divided as abure, 423 [gives 9d. in the quotient. £ d. £ s. d. 2. Divide 113 13 4 by 31 Ans. 3 13 4 3. Divide 85 6 3 bý 75 1 2 9 4. Divide 315 3 103 by 365 0 17 31 5. Divide 132 0 8 by 68 1 18 10 6. Divide 740 16 8 by 100 78 2 7. Divide 888 18 10 by 95 9 7 0 139 3 1 % 4 16 3 Ib. 0%. 014 Examples of Weights, Measures, fc. 1. Divide 14 cwt. Iqr.8 lb. of sugar equally among 811 C. qr. 3 178 8)14 1 8 0 0 18 3 1 3 4 8 Quotient. 1 5 8 8 14 1 8 0 Proof. qrs. 25 lb. 120 i composite nun 3. Divide 14 cwt. 1 qr. 12 lb. by 5. it once, after man Ans. 2 cwt. 3 qrs. 13 lb. 9 oz. 9 dr. 4. Divide 16 lb. 13 oz. 10 dr. by 6. Ans. 2 lb. 12 oz. 15 5. Divide 56 lb. 6 oz. 17 pwt. of silver into 9 « parts. Ans. ; ib. 3 oz. 8 pwt. 13 grs. 6. Divide 26 lb. 1 oz. 5 -wt. by 24. Ans, 1 lb. 1 oz. 1 pwt. 1 tient. 7. Divide. 9 hhds. 28 gals. 2 qts. by 12. Ans. O hhd. 49 gals. 2 qts. 1 8. Divide 163 bu. 1 pk. 6 qts. by 35. Ans. 4 bu. 3 pks. 2 13s. 9. Divide 17 lea. 1 m. 4 fur. 21 po. by 21. Evided by 47, gires Ans. 2 m. 4 fur. 1 the quotient . 10. Divide 43 yds. 1 qr. 1 na. by 11. Ans. 3 yds. 3 qrs. 3 11. Divide 97 E. E. 4 qrs. 1 na. by 5. Ans. 19 yds. 2 qrs. 3 n. 12. Divide 41 gallons of brandy equally amon soldiers. Ans. i gill ar 13. Bought a dozen of silver spoons, which to weighed 3 Ib. 2 oz. 13 pwt. 12 grs. how much sileach spoon contain? Ăns. 3 oz. 4 pwt. 1 14. Bought 17 cwt. 3 qrs. 19. lb. of sugar, and s one third of it; how much remains unsold ? Ans. 11 cut. 3 qrs. 15. From a piece of cloth containing 64 yards tailor was ordered to make 9 soldiers' coats, which ta third of the whole piece ; how many yards did ea contain ? Ans. 2 yds. 1 gr. ided as abure , he quotien £ s. d. Ars. 3 134 1.9 0 17 31 I 18 10 linid PRACTICAL QUESTIONS. i. If 9 yards of cloth cost 41. 3. 7d. what is that per yard ? d. qr. 9)4 3 7 2 ave and aile s. 2. If 11 tons of hay cost 231. Os. 21. what is that per tun? Ans. £2 ls. 10d. 3. If 12 gallons of brandy cost 41. 15s. 6d. what is that per gallon? Ans. 7s. 11d. 2qrs. 4. If 84 lbs. of cheese cost ll. 16s. 9d. what is that per pound? Ans. 5.d. 5. Bought 48 pairs of stockings for ill. 2s. how much a pair do they stand me in? Ans. 4s. 7d. 6. If a reckoning of 51. 8s. 10 d. be paid equally among 13 persons, what do they pay apiece ? Ans. 8s. 4 d. 7. A piece of cloth containing 24 yards, cost 181. 6s what did it cost per yard ? Ans. 15s. 3d. 8. If a hogshead of wine cost 33l. 12s. what is it a gallon? Ans. 10s, 8d. 9. If I cwt. of sugar cost 31. 10s. what is it per pound 1 Ans. 7 d. 10. If a man spend 711. 14s. 6d. a year, what is that per calendar month Ans. £5 198. 6 d. 11. The Prince of Wales' salary is 150,0001. a year, what is that a day? Ans. £410 19s. 2d. 12. A privateer takes a prize worth 12465 dollars, of which the owner takes one half, the officers one fourth, and the remainder is equally divided among the sailors, who are 125 iu number; how much is each sailor's part? Ans. $24 93 cts. 13. Three merchants A, B, and C, have a ship in com. pany. A hath , B , and C }, and they receive for freight 2281. 16s. 8d. It is required to divide it among ers according to their respective shares. Ans. A's share £143 Os. 5d. B's share £57 4s. 2d C's share £28 12s. ld. 14. A privateer having taken a prize worth $6850, it is the own. divided into one hundred shares; of which the captain have 11; 2 lieutenants, each 5; 12 midsipmen, eac and the remainder is to be divided equally among sailors, who are 105 in number. Ans. Captain's share $753 50 cts. ; lieutenant's, 50 cts.; a midshipman's, $137, and a sailor's, $35 88. REDUCTION, TEACHES to bring or change numbers from one to another, without altering their value. Reduction is either Descending or Ascending. Descending, is when great names are brought into as pounds into shillings, days into hours, &c.—This i by Multiplication. Ascending, is when small names are brought into as shillings iutò pounds, hours into days, &c. This formed by Division. REDUCTION DESCENDING. RULE.--Multiply the highest denomination given by so the next less as make one of that greater, and thus continue zave brought it down as low as your question requires. Proof. Change the order of the question, and divide y product by the last multiplier, and so on. EXAMPLES, £ 4)24758 Ans. 247 20)515 9d. ually among d. qrs. hat is that Is, Gld . 6189 pence. 4 £25 15 9 2 493 cts. in com For freight the own. 24758 farthings. Note. In multiplying by 20, I added in the 15s xhe 9d.--and by 4 the 2qrs. which must always be 2. In 317. Us. 100. Iqr. how many farthings? Ans. like cases. -50, it is |