3. At 1 s. 6 d. a bushel, how many shillings will 2 bushels 4. Multiply 2 s. 6 d. by 2. 9. How many pence in 2 times 2 farthings? 4 X 2 far- 10. How many pounds in 4 times 10 s.? 3 X 10 s. ? 4 X 6s.? S. 12 20 qrs. are 15 Operation by Slate illustrated. Q. How do you get the 3 qrs. in the answer ? qrs. 5 3 qrs. and carrying 3 d. as in Compound Addition, Q. How do you get the 8 d.? A. 5 times id. are 5 d., and 3d. (to carry) makes 8 d. Q. How do you get the 11£? RULE. 9* More Exercises for the Slate. 2. At 5 s. 6 d. a gallon, what will 2 gals. of rum cost? A. 11 8. 3. At 2 s. 6 d. 1 gr. a quart, what will 2 gts. of brandy cost ?5-0-2. What will 3 qts.?-7-6-3. What will 4 qts.:-10-1. What will 5 qts.?-12-7-1. What will 6 qts. ?-15-1-2." A. 2£ 10 s. 5 d 4. How much wine in 7 bottles, each containing 2 qts. 1 pt. 2 gills ?-4-3-0-2. How much in 8 bottles ?-5-2. In 9?-6-0-1-2 In 10?–6-3-1. In 11 ?-7-2-0-2. A. 30 gals. 3 qts. 1 pt. 2 gills. 5. What is the weight of 3 doz. silver spoons, each doz. weigh, ing 2 lbs. 6 oz. 12 pwts 3 grs. ?-7-7-16-9. What will 4 doz. weigh? -10-2-8-12. What will 5 doz. ?-12-9-0-15. What will 6 doz. ?15-3-12-18. A. 45. Ibs. 10 oz. 18 pwts. 6 grs. 6. Bought 4 loads of hay, each load weighing 1 T. 10cwt. 2 qrs. 20 lbs. 5 oz. 15 drs.; what was the weight of the whole ?6-2-2-25-7-12. What would be the weight of 5 loads ?-7-13-1. 17-13-11. Of11 loads ?-16-17-2-0-1-5. Of 12 loads ?-18-8-0-20-7-4. A. 49 T. 1 cwt. 3 qrs. 7 lbs. 14 oz. 7. At the rate of 36 lea. 2 m. 3 fur. a day, how far will a vessel sail in 6 days ?-220-2-2. In 15 days ?-531-2-5. In 10 days ?367-2-6. In 9 days:-331-0-3. A. 1471 lea. 2 m. 8. In 8 bales of cloth, each bale containing 12 pieces, each piece 27 yds. 1 qr. 2 na., how many yards ? A. 2628 yds. COMPOUND DIVISION. ma 1 s. I XXXIII. 1. William had 2 qts. 1 pt. of walnuts, which he wished to divide equally among his two little brothers; how many must he give each? 2. James bought 2 books for 2 s. 6 d.; how much did he pay apiece? 3. If you pay G d. for 2 inkstands, how many shillings would that be apiece? 4. A man bought 4 lambs for 6 shillings; how many pence did he pay apiece? 5. William has 3 pks. 4 qts. of walnuts, which he wishes to put into 4 little baskets, each of which will hold 7 qts.; will his baskets hold all his walnuts, or not? and inform me how you do it. 6. 3 men have 4 gals. 2 qts, of cider allowed them every day; how much is that apiece ? 7. How many pence is } of 1 s. ? of 2 s.? 3 of 3 s..? of 1 s. 6 d. ? of 1 s. 3 d.? 1 of 1 s. 6 d.? 4 of 2 s. 6 d.? of 1 d.? o of 1 d. 2 qrs.? many Q. What is this, which you have now been doing, called ? A. Simple consists of only one denomination; Q. What, then, is the process called, by which we find how times one number is contained in another of different denominations ? A. Compound Division. Operation by Slate illustrated. Q. How do you get the 7£ in the answer? A. I begin as in Short Division of £ d. whole numbers, and say, 2 is con2) 15 3 tained in 15£, 7 (£) times, and 1£ Ans. £ 7 11 10 over, writing down the 7 times. Q. What do you do with the 1£ over? A. 1£= 20 8. which I join or carry to the 3 s., making 23 s. Q. How do you proceed then, to get the 11 s. A. I say, 2 in 23, 11 times, and 1 s. over, writing down the 11 s. underneath. Q. How do you get the 10 d.? A. The 1 s. over being equal to 12 d., I join or carry it to 8 d., making 20 d. ; then, 2 in 20, 10 times. From these illustrations we derive the following 12 20 RULE. A. With the highest denomination, and divide as in Simple Division. Q. If you have a remainder, how do you proceed ? A. Find how many of the next lower denomination this remainder is equal to, which add to the next denomination; after which divide as in whole numbers. PROOF. Q. What is the proof? More Exercises for the Slate. 2. If 8 tons of hay cost 40£ 14 s. 8 d., what will 1 ton cost? A. 5£ 1 s. 10 d. 3. If 11 gals. of brandy cost 5£ 16 s. 5 d., what will 1 gallon cost ? A. 10 s. 7 d. 4. If a man spend 60£ 13 s. 4 d. a week, how much is that a day? A. 8£ 13 8. 4 d. š. If 1 cwt. of rice cost 2£ 6 s. 8 d., what will 1 lb. cost? A. 0£ 0s. 5 d. 6. You have 31£ 9 s. 6 d. to be divided equally among 2 men; how much would it be apiece ?-15-14-9. How much would it be apiece to be divided among 3?-10-9-10. Among 6?-5-4-11. A. 31£ 9 s. 6 d. 7. Will you divide 2 gals. 2 qts. by 4?-0-2-1. By 5?-0-2. By 10 ?-0-1. By 22-1-1. A. 2 gals. 2 qts. 1 pt. 8. Will you divide 96 acres, 2 roods, 16 rods, by 7?-13-3-8. By 8 ?-12-0-12. By 12?-8-0-8. A. 33 acres, 3 roods, 28 rods. Questions to ezercise the foregoing Rules. 1. What is the sum of the following numbers, viz, one, two thousand, thirty thousand, four millions, twenty thousand, nineteen, four hundred millions ? A. 404052020. 2. Bought a coat for 15 dollars, a vest for 1 dollar 37 cents, a pair of boots for 6 dollars 12; what did the whole cost me? A. $22,50. 3. Bought a horse for $75, and sold him for 37} cents less than he cost me ; what did I get for him ? A. $74,62,5. 4. What will 3200 yards of tape come to, at 64 cents, or 15 of a dollar, a yard ?-200. At 12 cents, or } of a dollar 2-400. At 25 cents, or of a dollar?-800. A. $1400. 5. How many yards in 31557600 röds ? A. 173566800. 6. How many years in 31557600 seconds, allowing the year to contain 3654 days ? A. 1 year. 7. At 4 cents å gill, what will 1 tun of wine cost? A. $322,56. 8. How much wine can be bought for $322,56, at 4 cents a gill ? A. 1 tun. 9. How many rods in 1100 yds.? In 3300 yds.? A. 800 rods. 10. How many dollars in 300£? In 900£? A. $4000. 11. Reduce 5£ 17 s. 6 d. to farthings. A. 5640 farthings. 12. How many pounds in 5640 farthings ? A. 5£ 17 s. 6 d. 14. What will 1 ton of clover-seed cost, at 5 mills an ounce ? 15. At 2 cents an inch, what will 1 yard of cloth cost ? A 16. Reduce 1 tun to gills. A. 8064 gills. 19. How many barley corns will reach across the Atlantic 20. How vany times will a watch click in 20 years, if it click at the usual rate of 60 times in a minute ? A. 631152000. 21. A father left legacies to his children as follows: to Thomas 75£ 14 s. 6 d., to William 3 times as much as Thomas, to his daughter Mary & as much as Themas, and to Susan, his youngest child, as much as all the rest, lacking 20£ 13 s. 8 d. : how much did each receive: A. William 227] 3 s. 6 d., Mary 12£ 12 s. 5 d., Susan 294£ 16 s. 9 d. DR. Mr. Charles Testy To Lewis P. Child, . 15. “ 1 ton of Hay, at 4 s. 6 d. a hundred, 0 £25 18 8. 3 d. Halifax, April 1, 1827. Received payment, Lewis P. Child. FRACTIONS. | XXXIV. 1. If one third (3) of an apple cost 2 cents, what will a whole apple cost? 2. If one third cost 3 cents, what will a whole one cost? If one third cost 4 cents, what will one whole apple cost ? If one third cost 6 cents ? 8 cents? 9 cents ? *20 cents ? 50 cents ? 100 cents ? |