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9. How, wuch will 27cwt. of iron cost at D4.56 per cwt. ?

Ans. D123.12. 10. Purchased a quantity of goods for D250, and 3 months after sold them for D275 ; how much per cent. per annum was gained ?

Ans. 40 per cent. 11. In what time will a sum double itself at 6 per cent. simple interest ?

Ans. 16 years, 8 months. 12. Required the amount of the following bill, namely: 150 bushels of rye at D1 ; 200 bushels of wheat at D1.60 per bushel; 50 bushels of corn at 80c. per bushel ; 20 bushels of oats at 60c. per bushel ; 40 bushels of salt at 40c. per bushel ; 10 bushels of potatoes at 20c. per bushel ; 3.5 bushels of flax-seed at D1:25

per
bushel; 5 bushels of cloverseed at D5 per

bushel; 15 bushels of barley at D1.25 per bushel ; 4 bushels of turnips at 30c. per bushel ; 8 bushels of onions at 25c. per bushel ; 2 bushels of beans at D1.25 per bushel ; 9 bushels of apples at 750. per bushel.

Ans. D600.57.5. 13. What is the amount of the following bill, namely: 4 pairs of boots at D5 per pair; 6 pairs of small shoes at 75c. per pair; 7 yards of muslin at 20c. per yard; 150 lbs. of flax at 20c. per pound; 4cwt. of flour at D3 per cwt. ; 50 bushels of malt at Di per bushel ; 70 bushels of apples at 20c. per bushel ; 50 lbs. of sugar at 12.5c. per pound; 208 bushels of potatoes at 30c. per bushel; 171 bushels of corn at Di per bushel ; 43 lbs. of beef at 7c. per pound; 324 yards of linen at 50c. per yard ?

Ans. 1536.56. 14. What is the weight and value of 13 bags of wheat, which weigh as follows, at Di.35 per bushel, at 60lbs.

per

bushel ? No. 1. 160lbs. ; No. 2, 165lbs. ; No. 3, 172lbs.; No. 4, 173 lbs.; No. 5, 180lbs.; No. 6, 1691bs.; No. 7, 195lbs.; No. 8, 185lbs.; No. 9, 184lbs . ; No. 10, 163lbs.; No. 11, 170lbs.;

No. No. 12, 190lbs.; No. 13, 167lbs. (the weight of the sacks 26lbs.)

Ans. 22731b., value 150.55.7. 15. How much will the following bill amount to, namely: 120 bushels of apples at 20c. per bushel ; 110 bushels of rye at Di per bushel; 50 bushels of salt at 40c. per busbel; 70 bushels of sea-coal at 30c. per bushel ; 30 bushels of malt at 50c. per bushel ; 40 bushels of peas at 30c. per bushel ; 30 bushels of beans at 40c. per bushel ; 80 bushels of oats at 70c. per bushel ; 90 bushels of wheat at D1.60 per búshel ; 100 bushels of corn at 70c. per bushel ; 80 bushels of potatoes at 30c. per bushel ; and 40 bushels of turnips at 20c. per bushel ?

Ans. D516.00.

16. What is the value of 1403 lbs. of wheat at D1.25 per bushel of 60 lbs. ?

Ans. D29.22.9. 17. If the earth be 360 degrees in circumference, and each degree 69.5 miles, what time would it require for a person to travel round the globe at the rate of 20 miles per day, and the year to consist of 365.25 days? Ans. 3 years, 155.25 days

18. A line 35 yards long will exactly reach from the top of a sort standing on the brink of a river, to the opposite bank, known to be 27 yards broad; required the height of the wall.

Ans. 22 yards, 9.5 inches. 19. How md. A will 27cwt. of sugar come to at 9c. per lb. ?

Ans. 1272.16. 20. How mucn will 281 yards of tape cost at 9m. per yard?

Ans. D2.52.9. 21. What is the cost of 29.5 yards of flannel at 75c. per yd. ?

Ans. D22.12.5. 22. How much will 371 yds. of broadcloth come to at D5.79 per yard ?

Ans. D2148.09.0. 23. If a man receive yearly D949, how much is it daily?

Ans. D2.60. 24. How much will 32625 feet of boards come to at D8.25

Ans D269.15.6+ 25. At 15.50 per M. what will 21186 feet of boards come

Ans. D116.52.3. 26. When boards are sold at D18 per M. how much is it per foot ?

Ans. lc. 8m. 27. The sale of certain goods amount to D1875 40c.; what sum is to be received for them, allowing 2.5 per cent. for commission, and .25 for prompt payment of the net proceeds ?

Ans. D1823.82.65. 28. If 4.5 yards of broadcloth cost D25, what will 17.25 yards cost ?

Ans. D95.83.3 29. If 30 yards of cloth cost D110, how much is it per yd. ?

Ans. D3.66.6. 30. A farmer purchased goods at a store to the amount of D180; he is to pay one half in wheat at D1.25 per bushel, and the other half in rye at 87.5cts. per bushel; required the quan. lity of each kind.

Ans. wheat 72 bushels, rye 102 bush., 3 pecks, 3+ quarts. 31. When wheat is selling at D1.60 per bushel, what is the price of 1 quart ?

Ans. 5c. 32. Paid D140 for 2000 lbs. of cheese ; how much did it cost per lb. ? and if I sell it for 2c. per lb. more than the cost, what is my profit? Ans. cost 7c. per lb.; and profit D40.

per M. ?

to ?

33. If I give D9.50 for 2 lb. of indigo, how much do I pay per ounce, and how much do I gain or lose by selling it at 25c. per ounce, avoirdupois ?

Ans. paid 29.6c., and lost D1.50 on the whole. 34. If I lost D1.50 on the above indigo, at what price per oz. should I have sold it to gain D1.50, and at what rate per cent. profit would it be?

Thus : D9.50+3.00, gain on 2 lbs.=D12.50-- 32 oz.=2 lb. =39+ should have sold for ; then 9.50 : 1.50 :: 100 : 15.7+ gain per cent. Ans.

35. How much is the difference between the interest and discount of D500 for 1.5 years, at 6 per cent. ?

Ans. D3.71.5+ 36. What is the interest of D480, for 60 days, at 5 per cent.?

Ans. D3.94.5+ 37. A. loaned B. D100, at 5 per cent., compound interest, and to C., D100 at 10 per cent., simple interest; payment is to be made when the interest of the two sums shall be equal; required the interest and time.

(By approximation.) Ans. interest D265.70 on each principal; time, 26 years, 208 days. 38. What is the square root of 368863 ?

Ans. 607.34092+ 39. What is the cube root of .467764060?

40. If 4.44 bushels of wheat cost D7.50, what will 17.22 bushels cost?

Ans. D29.08.7. 41. If 7,5 pounds of coffee cost 65c., what will 112 lbs. cost ?

Ans. D9.70.6. 42. What is the cost of 4 hogsheads of wine, at 9c. per pint?

Ans. D181.44. 43. If a man travel 96 miles in 3 days, how many could he travel in 3 weeks ?

Ans. 672. 44. If 675 yards cost D12, 8d. 2c., 5m., how many yards may be had for 38m. ?

Ans. 2 yards. 45. If a yard of riband cost 4.5c., how much will it require to purchase 345 yards?

Ans. D15.52.5. 46. If 19 yards of sheeting cost D25, 7d. 5c., what will 135.5 cost?

Ans. D590, 2d. Ic. 7m. 47. What is the value of .3375 of an acre ?

Ans. 1 R. 14 poles. 48. What is the value of .3 of a year?

Ans. 109 days, 13 hours, 48 minutes. 49. What is the value of .6875 of a yard ?

Ans. 2 qrs. 3 nails

50. What is the value of .76 of a league ?

Ans. 2 m. 2 fur. 9 po. 3 yd. 3 inches. 51. A person purchased 10 cords of wood ; on measuring it, he found it 3 inches too short, which should have been 4 feet; now much did he lose in 10 cords ?

Length, 4 ft.=48 inches --3=16 or to per cord too short ; 128:16=8 ft. in 1 cord ; 10 x8=80 feet. Ans.

Or, 96 X 48X3=13824-1728=8x10=80 feet. Ans.

52. Required the quantity of wood in a parcel 28 feet long, 4 feet high, and cut 3 feet?

Ans. 28 X5 X3--128=3 cords, 1 qr. 4 feet. 53. If 5 men can reap 52.2 acres in 6 days, how many men will it require to reap 417.6 acres in 12 days ? Ans. 20 men.

54. If a ceiling be 60 feet, 3 inches, by 25 feet, 6 inches, required the number of square yards.

Ans. 60.25 x 25.5-;-9=170 yards, 6 feet. 55. Add šof a yard to of an inch.

Ans. 53 yards, or 14 inch. 56. Add } of a week, of a day, and i of an hour, together.

Ans. 2 days, 147 hours. 57. Add 14 miles, Yo furlongs, and 30 rods, together,

Ans.1 mile, 3 furlongs, 18 poles. 58. Add of a cwt., * * of a lb., 13 oz., and of a cwt., 6. lb. together

Ans. I cwt. 1 qr. 27 lb. 13 oz. 59. How much is the difference between g of a rod and of an inch?

Ans. 10 feet, 114 inches. 60. How much is the difference between 1 of a hogshead, and hof a quart ?

Ans. 16 galls. 2 qts. 1 pt. 3,5 gills. 61. From oz. take { pwt.

Ans. 11 pwt. 3 grs 62. Required the product of 6, x by of 5. Ans. 20. 63. Required the product of 3 x 413?

Ans. 14131 64. What will 37 boxes of raisins cost, at D2} per box?

Ans. D816 65. If of a yard of cloth cost D3, what is the price per

Ans. D5 66. If 45 gallons of molasses cost D2, low much is it per quart ?

Ans. 1526ị cents. 67. If if hogshead of wine cost D250], how much is the wine per quart ?

Ans. 85.3c. per qt: 68. What number is that, to which if you add } of of itself, the sum will be 39 ?.

Ans, 30, 69. What number is that, which being multiplied by ğ, the product will be 3 ?

Ans. 338

yard ?

Black Board.

37 po.

1. Reduce 3658 inches to yards. 2. Reduce 6490 grains to pounds. 3. Reduce 32044 scruples to pounds. 4. Reduce 108910592 drams to tons. 5. Reduce 59 m. 7 fur. 38 poles, to poles. 6. In 3278 nails, how many yards ? 7. In 19 A. 2 R. how many square poles ? 8. In 175 square chains, how many square rods ? 9. In 55 cords of wood, how many solid feet ? 10. Reduce 3058560 cubic inches to tons of round timber. 11. Reduce 1 tun to gills. 12. Reduce 47 barrels, 16 gallons, 4 quarts, to pints. 13. In 17408 pints, how many

bushels ? 14. In 5927040 minutes, how many weeks ? 15. In 27894 seconds, how many degrees ? 16. In 7 lb. 11 oz. 3 pwt. 9.gr. of silyer, how many grains ? 17. Reduce 45681 grains to pounds. 18. In 12 tons, 15 cwt. 1 qr. 18 lb. 4 oz. 12 dr. how many drs.? 19. In 34 lb. O oz. 6 pwt. 16 grs., troy, how many lbs., avoir. ? 20. In 9173841 nails, how many yards ? 21. How many barleycorns in 360 degrees ? 22. In 4755801600 barleycorns, how many degrees ? 23. In 30539520 inches, how many miles ? 24. In 96 square miles, how many square feet ? 25. In 1784217600 square feet, how many square miles ? 26. In 96 A. 2 R. 16 po., how many square

et and inches ? 27. In 622080 cubic inches, how many tons of round timber? 28. In 1} tuns of wine, how many gills ? and cost at 6_c. 29. Reduce 12528 pints to hogsheads.

30. In 87} bushels of wheat how many pints ? and value at 3.5c. per pint?

31.Reduce 475047465 seconds to years.
32. In 1020300', how many degrees ?
33. Reduce 9s. 13°, 25', to seconds.

34. How many steps of 30 inches are contained in 95 miles ? and how long would it require a man to walk it, at the rate of 8000 steps per hour ? 35. Reduce and to decimals.

178 36. Reduce 31495113 to a decimal. 37. Reduce.2l pints to the decimal of a peck. 38. Reduce 7 drams to the decimal of a pound.

per gill?

5

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