£. s. 10. Divide 115 10 11. Divide 136 16 12. Divide 202 13 13. Divide 34 4 Multiply by produces 47) 1928 Divide 1281. 13s. Sd. by 47. 128 13 3(2 14 9 quotient. 94 EXAMFLES. 223 3. When the divisor is large, and not a composite number, you may divide by the whole divisor at once, aftor manner of long division, as follows, viz. 34 pounds remaining. 35 shillings remaining. Multiply by 12 and add in the 3d. £. a d. 2. Divide 113 13 4 by 31. 693 shillings, which divided by 47, gives 48. in the quotient. 47 s. d produces 423 pence, which divided as above, giv [9d. in the quotient 423 5. 4 15 € 4 9 8 S. Divide 85 6 3 by 75. 5. Divide 182 0 8 by 68. 5. Divide 740 16 8 100. Divide 808 18 10 0 17 St 18 " 11 C. gr. lb. oz. 8)14 1 8 0 EXAMPLES OF WEIGHTS, MEASURES, &c. 1. Divide 14 cwt. 1 qr. 8 lb. of sugar equally among 8 men. 1 3 4 8 Quotient. 5. Divide 56 lb. 6 oz. parts. 6. Divide 26 lb. 1 oz. 14 1 8 0 Proof. 2. Divide 6 T. 11 cwt. 3 qrs. 19 lb. by 4 Ans. 1T. 12cwt. Sqrs. 25lb. 12oz. 3. Divide 14 cwt. 1 qr. 12 lb. by 5 Ans. 2cwt. Sqrs. 13lb. 9ox. 9dr.+ 4. Divide 16 lb. 13 oz. 10 dr. by 6 Ans. 2lb. 12oz. 15dr. 17 pwt. of silver into 9 equal Ans. 6lb. Suz. 8pot. 15grs.+ 5 pwt. by 24 Ans. ilb. 1oz. 1pwt. 1gr. 7. Divide 9 hhds. 28 gals. 2 qts. by 12 Ans. Ohhds. 49gals. 2qts. 1pt. 8. Divide 168 bu. 1 pk. 6 qts. by 35 Ans. 4bu. Sples. 2qts. 9. Divide 17 lea. 1 m. 4 fur. 21 po. by 21 Ans. 2m. 4fur. 1po. by 11 Ans. Syds. Sqrs. Sna. 10. Divide 43. yds. 1 qr. 1 na. 11. Divide 97 E. E. 4 qrs. 1 na. by 5 Ans. 19yds. 2qrs. Sna.+ 12. Divide 4 gallons of brandy equally among 144 goldiers. Ans. 1gill a-piece. 18. Bought a dozen of silver spoons, which together weighed 315. 2 oz. 13 pwt. 12 grs. how much silver did ach spoon contain ? Ans. Soz. 4pt. ¡1gr. 14. Bought 17 cwt. 3 qrs. 19 lb. of sugar, and sold out ne third of it; how much remains unsold? Ans. 11cwt. Sqrs. 221b. 15. From a piece of cloth containing 64 yards 2 na. a taylor was ordered to make 9 soldiers' coats, which took one third of the whole piece; how many yards did Ans. 2yds. 1ar. 2na. each coat contain ? PRACTICAL QUESTIONS. 1. If 9 yards of cloth cost 4l. 3s. 74d. what is that per yard ? £. s. d. gr. 9 3 2 Answer. AND COND 2. If 11 tons of hay cost 231. Os. 2d. what is that per ton ? Ans. £2 1s. 10d. 4l. 15s. 6d. what is that Ans. 7s. 11d. 2qrs. 16s. 9d. what is that per Ans. 54d. 3. If 12 gallons of brandy cost per gallon P 4. If 84 lbs. of cheese cost 1l. pound? 5. Bought 48 pairs of stockings for 11l. 2s. how much a pair do they stand me in? Ans. 4s. 7 d. 6. If a reckoning of 5l. 8s. 10d. be paid equally among 13 persons what do they pay a-piece P Ans. 8s. 44d. 7. A piece of cloth containing 24 yards, cost 181. 6s. what did it cost per yard? Ans. 15s. Sd 8. If a hogshead of wine cost 337. 12s. what is it a gallon ? Ans. 10s. 8d. 9. If 1 cwt. of sugar cost 3l. 10s. what is it per pound? Ans. 7 d. 10. If a man spends 71l. 14s. 6d. a year what is that per calendar month? Ans. £5 19s. 64d. 11. The Prince of Wales' salary is 150,000l. 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 in number; how much is each sailor's part? Ans 924 93cts. 13. Three mercnants, A, B, and C, have a ship in company. A hath $, B i, and C }, and they receive for freight 2281. 16s. 8d. It is required to divide it among the owners 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 divided into one hundred shares; of which the captain is to have 11 ; 2 lieutenants, each 5; 12 midshipinen, each 2; and the remainder is to be divided equally among the sailors, who are 105 in number. Ans. Captain's share $753 50cts. lieut's. 8342 50cts. a midshipman's 8157, and a sailor's 835 88cts ܪܐ REDUCTION, TEACHES to bring or change numbers from one name to another, without altering their value. Reduction is either Descending or Ascending. Descending is when great names are brought into small, as pounds into shillings, days into hours, &c.Thris is done by Multiplication. Ascending is when sınall names are brought into great, as shillings into pounds, hours into days, &c. This is performed by Division. REDUCTION DESCENDING. RULE. Mùltiply the highest denomination given, by so many of the next less as make one of that greater, and thus continue till you have brought it down as low as your question requires. PROOF. Change the oruer of the question, and divide your last product by the last multiplier, and so on, EXAMPLES. 1. In 251. 15s. 9d. aqr's how many farthings? 24758 farthings. NOTE. In multiplying oy 20, I added in the 15s.-by 12 the 9d.-and by 4 the 2qrs. which must always be done in like cases. 2. In 31l. 11s. 10d. 1gr. how many farthings? Ans. 30329 5. In 46l. 5s. 11d. Sqrs. how many farthings? Ans. 44447 4. In 617. 12s. how many shillings, pence and far. things? Ans. 1232s. 14784d. 59136qrs. 5. In 841. how many shillings and pence? Ans. 1680s. 20160d. 6. In 18s. 9d. how many pence and farthings? Ans. 225d. 900grs. 7. In 3121. 8s. 5d. how many haif-pence? Ans. 149962 8. In 846 dollars at 6s. each, how many farthings? Ans. 243648 9. In 41 guineas at 28s. each, how many pence? Ans. 18776 10. In 59 pistoles, at 22s. how many shillings, pence, and farthings? Ans. 1298s. 15576d. 62304grs. 11. In 37 half-johannes, at 48s. how many shillings, six-pences, am! three-pences? Ans. 1776s. 5552 six-pences. 7104 three-pences. 12. In 121 French crowns, at 6s. 8d. each, how many ence and farthings? Ans. 9680d. 38720grs. |