4. A man dies leaving an estate of 7875 dollars to his 7 sons; what is each son's share? Ans. 1125 dolls. 5. Suppose 729 men formed into 9 ranks; how many will there be in each rank? Ans. 81. 6. Forty-five horses were sold for 9900 dollars; what was the average price of each? $220. 7. A prize valued at 32832 dollars is divided among 72 seamen; what is each man's share? Ans. $456. 8. Required a number which multiplied by 48 shall become 4656. Ans. 97. Quotient 403. 9. Divide 24986 by 62. 10. A gentleman's annual income is 38325 dollars; how much is that per day, there being 365 days in a year ? Ans. 105 dolls. 11. How many times are 66 contained in 132132? Ans. 87. Ans. 41. Quotient 77. Ans. 2002. 12. In 31755 days how many years, allowing 365 days to a year? 13. A man raised 64562 bushels of grain on 1565 acres how many bushels was that per acre? 14. Divide 1020096 by 13241. 15. How many times can a cask which is capable of containing 54 gallons be filled from a cistern containing 2496 galls.? Ans. 46 times, and 12 gallons remain in the cistern. 16. Divide 351 by 18. Quotient 19, Rem. 9. 17. How many times are 94 contained in 717? Ans. 7 times, and 59 remain. 18. The President of the United States has a salary of 25000 dollars per annum; how much is that per day allowing 365 days to a year? Ans. $68 per day, and $180 over. 19. If 40000 persons send one representative to Congress, how many will Massachusetts send; her population according to the census of 1830 being 610014? Ans. 15, and there is an excess of 10014 persons. 20. Divide 1827000 by 900. Ans. 2030. 21. Four hundred and sixty-four thousand dollars are sufficient to pay a garrison consisting of 8000 men; how much can each man receive if they share equally? Ans. $58. 22. Divide 58724 by 2600. Quo. 22, Rem. 1524. 23. A general has disposed his army consisting of 36000 men into companies of 100 men each; how many companies has he? Ans. 360. 24. What number multiplied by 10 will become 600? Ans. 60. 25. Connecticut has a population of 297711; if she support 1 minister to 1000 persons, how many ministers does the state support? Ans. 297 ministers; and there is an ex cess of 711 persons. 26. Divide 30114 bushels of corn equally among 63 men; how many will each man receive? Ans. 478. 27. A manufacturing company employed a number of workmen, and gave them 27 dollars per month; at the expiration of one month, it took $10125 to pay them. many men were there? How Ans. 375. 28. One factor of 1872 is 24; what is the other factor? Ans. 78. 29. How many times are 6942 contained in 13884? Ans. 2. 30. What number must you multiply by 47 to produce 2346894000? 31. In 783954 barley-corns, how many inches? 32. Divide 409876960 by 125. Ans. 261318. 33. Divide 280208122081 by 912314. Ans. 307140 121 34. How many gallons, in 218363 pints? 35. With 152 dollars how many yards of cloth can you buy at $1,75 per yard? SECTION VII. COMPOUND ADDITION. 1. A man bought one load of cider for 8£ 4s; and another for 6£ 8s. 4d.; what did both amount to? Ans. 14£ 12s. 4d. 2. What is the amount of the following sums? 4. A man bought two loads of hay, one weighing 18 cwt. 2 qrs., the other 17 cwt. 1 qr. 24 lbs.; what was the weight of both? Ans. 35 cwt. 3 qrs. 24 lb. 5. What quantity of coffee is viz. 2 qrs. 14 lbs. ; 3 qrs. 5 lbs. ; 14 lb.; 1 cwt. 2 qrs. 27 lbs. ? there in 5 bags weighing, 3 qrs. 17 lbs.; 1 cwt. 1 qr. Ans. 5 cwt. 1 qr. 21 lbs. 6. A butcher kills an ox, one quarter of which weighs 1 cwt. 3 qrs. 24 lbs; another 2 cwt. 19 lbs. ; another I cwt. 3 qrs. 27 lbs.; the other 1 cwt. 2 qrs. 25 lbs; the hide 1 cwt. 10 lbs.; the tallow 3 qrs. 7 lbs; what is the whole weight of the ox? Ans. 9 cwt. 3 qrs. 7. What is the total weight of the following sums? 8. A goldsmith has two sets of silver spoons, one weighing 2 lbs. 10 oz. 16 pwts. 20 grs., the other 3lb. 8 oz. 12 pwts; what is the weight of both? Ans. 6 lbs. 3 oz. 8 pts. 20 9. What is the amount of the following sums? grs. Ans. 13 2 10 19 10. What is the total weight of 3 gold watches, one weighing 10 oz. 18 pwts.; another 1 lb. 2 oz. 7 grs.; the other 7 oz. 11 pwts. 14 grs.? Äns. 2 lb. 8 oz. 9 pwts. 21 grs. 11. A physician purchased at one time medicines to the amount of 4 lb. 6 oz. 5 dr. 2 scr., at another 11 oz. 6 dr. 19 gr.; how much at both times? Ans. 5 lb. 6 oz. 3 dr. 2 scr. 19 gr. 12. Required the total weight of 5 parcels of drugs, the several weights of which are as follows: 13. An apothecary made a composition of 3 ingredients; the first weighed 7 oz. 2 dr. 1 scr. 10 gr.; the second 1 lb. 0 oz. 2 dr. 2 scr.; and the third 7 dr. 18 gr.; what was the weight of the compound? Ans. 1 lb. 8 oz. 4 dr. 1 scr. 8 gr. 14. There are two pieces of road; the length of one piece is 3 mi. 6 fur. 30 rods; that of the other is 10 mi. 18 rods 14 ft.; what is the length of both? Ans. 13 mi. 7 fur. 8 rods 14 ft. 16. The distance from Washington to Dumfries is 37 mí. 7 fur. 39 rods, thence to Richmond, 92 mi. 6 fur. 38 rods, thence to Suffolk, 110 mi. 1 fur. 3 rods,-thence to Wilmington, N. C., 240 mi. 7 fur. 21 rods, thence to Charleston, S. C., 190 mi. 19 rods. What is then the distance from Washington to Charleston? Ans. 672 miles. 17. A man has 3 fields; the first contains 12 acres 2 roods 28 rods, the second, 9 acres 15 rods,-the third, 11 acres 3 roods 37 rods; how much in all? Ans. 33 acres 3 roods. 18. What is the amount of the following sums? 19. A landholder sells 4 house-lots; the first contains 2 roods 17 rods 9 feet,-the second, 1 rood 12 rods,—the third, 3 roods 12 rods 97 feet,--the fourth, 1 rood 33 rods 127 feet; how much in all? Ans. 2 A. 0 roods, 34 rods 233 feet. 20. In one pile of wood are 4 cords 27 feet,-in another, 10 cords 15 feet 1124 inches,—in another, 10 cords 40 feet; and in another 5 cords, 23 feet, 708 inches how much in all? Ans. 34 cords 106 ft. 104 in. 21. Add the following sums. 47 111 299 22. A man carries to market 4 loads of bark; the first containing 1 cord 64 feet 864 inches,-the 2nd, 1 cord 44 inches; the 3rd. 1 cord, 63 ft. 20 inches; the 4th, 1 cord 60 feet 931 inches; how much in all? Ans. 5 cords 60 ft. 131 in. 23. A merchant bought 3 pieces of cloth; one containing 20 yards three quarters 1 nail,--another 26 yards, and the other 30 yards 3 quarters 3 nails; how many yards did he buy? Ans. 77 yds. 3 qrs. 24. Required the amount of the following sums. Yds. qr. na. in. 24 2 3 1 Ans. 25. How much calico in 2 pieces, one measuring 13 yds. 2 na.—the other 17 yds. 3 qrs. 1 na.? Ans. 30 yds. 3. qrs. 3 na. 26. A man bought 3 bushels 3 pecks of wheat at one time, 6 bu. at another, 7 bu. 2 pks. 7 qts. at a third, and 4 bu. 1 pk. 6 qts. at a fourth; how many bushels did he buy in all ? Ans. 21 bu. 3 pks. 5 qts. 27. What is the amount of the following quantities? Ch. gr. bu. pk. qt. pt. 4 3 6 2 2 1 9 2 7 3 1 0 10 1 5 1 7 1 4 0 Ans. QUESTIONS.-Is there any deficiency in the 21st sum? What is it? What must you do in order to perform the operation? |