19. A prize of 48726 dollars is owned by 270 men; what is each man's share? Ans. $180. 20. A labourer was employed for 20 days, on condition that he should receive 1 dollar for every day that he worked, and should pay 75 cents for each day that he was idle; at settlement he received $11.25; how many days did he work? Ans. 15. 21. In 1830 there were in New-York 46 slaves-in New Jersey 2246-in Pennsylvania 386—and in Delaware 3305; what was the whole number of slaves in these four states? Ans. 5983. 22. What will 750 barrels of beef come to, at 11 dollars per barrel? Ans. $8250. 23. What is the sum of .12345 and .987654321 ? Ans. 1.11104321. 24. Divide 39 £. 14 s. 54 d. by 57. Ans. 0 £. 13 s. 11 d. 25. From 2497 take .1221745. 26. Multiply .425 by .5. 27. Divide .77 by .7. Ans. .1175255. Ans. 2125. Ans. 1.1. 28. Sold one dozen of fowls for 9.17-a firkin of butter for 13.62-one cwt. of cheese for 7.25 for 1.80; what did all amount to? and 18 lbs. of flax 29. Bought 3 cwt. of hops for 33.50, and 41.25; how much did I gain by the bargain? 30. What will 17 barrels of cider come to rel? Ans. Ans. 0.00150. 31. Divide 0.00078759 by 0.525. 32. What sum added to 17 £. 11 s. 8 d. will make 100 pounds? 82 £. 8 s. 3 d. 33. A merchant bought 17 cwt. 2 qrs. 14 lbs. of sugar, of which he sold 9 cwt. 3 qrs. 25 lbs.; how much had he left? Ans. 7 cwt. 2 qrs. 17 lbs. 34. A certain farm is divided into 6 fields-two of which contain 42 acres 3 roods 29 rods 28 yards-and each of the others 23 acres 3 roods 35 rods 25 yards; how much land in the farm? Ans. 138 a. 3 roods 13 rods 7 yds. 35. What will 96 bushels of corn come to at 7 s. 6 d. per bushel ? Ans. 36 £. 36. Bought 1 doz. silver spoons, which together weighed 3 lbs. 2 oz. 13 pwts. 12 grs.; how much silver did each spoon Ans. 3 oz. 4 pwts. 11 grs. contain ? SECTION IV. 1. In 100 £. how many shillings, ninepences, sixpences, fourpences, and pence, of each an equal number? Ans. 30168. Ans. 750. 2. In 24 hogsheads of sugar, each 11 cwt. 25 lbs., how many pounds? 3. How many barley-corns in the circumference of the earth, it being 360 degrees? Ans. 4755801600. 347 1260 4. What is the sum of 3 of 3,-2 of 4 of 2,-3),—§ of 2, -and? Ans. 426. 5. A man bought at one time of a cord of wood, at another of a cord, and at another time did he buy in all? 6. From of, take of §. 9. At of a be bought for 11. Reduce .825 to a vulgar fraction. of a cord; how much Ans. 18 cord. Ans. 356. dollar a pound, how many pounds of figs can of a dollar? 10. Reduce to a decimal fraction. Ans. 32. Ans. .8. Ans. 825 1000 12. A piece of cloth, 13 yds. long, was sold for 130 dollars; what will 18 yds. cost at the same rate? Ans. $180. 13. If 100 workmen can finish a piece of work in 12 days, how many can do the same in 3 days? Ans. 400. 14. If 120 bushels of oats will serve 14 horses 56 days, how many days will 94 bushels serve 6 horses ? Ans. 10218. 15. If 6 lbs. at Portland make 5 lbs. at London, and 50 Ibs. at London make 60 lbs. at Paris; how many pounds at Portland are equal to 160 lbs. at Paris? Ans. 160. 16. What is the interest of $984.50 for 7 years and 6 months, at 6 per cent.? Ans. $443.025. 17. What is the compound interest of 760 £. 10 s, for 4 years, at 4 per cent.? Ans. 129 £. 3 s. 64 d. 18. What is the present worth of $600, due 4 yrs. hence, at 5 per cent.? Ans. $500. 19. What will 129 yards of cloth cost, at 2 s. 6 d. per yard? Ans. 16 £. 3 s. 9 d. 20. What will 8765 eggs cost, at å d. apiece? Ans. 27 £. 7 s. 92 d. 21. A and B gained by trading $182. A put in stock to the amount of $300, and B $400; what is each one's share of the gain? A's $78. Ans. B's 104. Ans. 154. 22. How many times 3 in 4623? 23. A ship worth $860, of which A owned §, B 1, and C the rest, was lost in a gale; what will each owner lose, the ship having been insured to the amount of $500? (A $45. Ans. B 90. C 225. 24. If 980 lbs. of tea cost $588, and be sold for $666.40, what is the gain per pound? Ans. 8 cents. 25. If I buy cloth at 1 s. 6 d. per yard, and sell it again at 1 s. 9 d., what do I gain per cent.? Ans. 16 £. 13 s. 4 d. 26. A square piece of land contains 43560000 feet of surface, what is the length of one of its sides? Ans. 6600 ft. 27. A pile of wood in the form of a cube contains 102727 solid feet; what is the length of one of its sides? Ans. 103 ft. 28. If 1000 apples be placed in a right line a yard distant from each other, and the first a yard from a basket; what distance will a man travel, who shall gather them up singly, and return with them one by one to the basket? A 29. A and B laid out equal sums of money in trade. gained a sum equal to 4 of his stock, and B lost 225 dollars; then A's money was double B's; what did each lay out? 30. Divide 25 by 20. 31. Multiply of ÷ by 4. Ans. 1128. 45 392 32. A man travelled 6 days; the first day he went 4 miles, and doubling this distance each day, his last day's ride was 128 miles; how far did he go in all? Ans. 252 miles.. 33. If the length of an inclined plane be 12 ft. 9 in., and its perpendicular height be 4 ft. 3 in.; what force will be necessary to support a cylinder on this plane, weighing 66 lbs. 12 oz., making no allowance for friction? Ans. 22 lbs. 4 oz. 34. If the diameter of a wheel be 4 feet 7 inches, and the diameter of its axle be 9 inches; what weight attached to the wheel will balance 112 lbs. attached to the axle? Ans. 19 lbs. 10 oz. 121o drs. QUESTIONS.-What are the conditions of Example 28th? What data have you given in sum 32d, from which you are to determine the true answer? 7* SECTION V. 1. Required the number, from which, if 7 be subtracted, and the remainder be divided by 8, and the quotient be multiplied by 5, and 4 be added to the product, the square root of the sum subtracted, and of that root cubed, and the cube divided by 9, the last quotient may be 24? Ans. 103. 2. If 1 acre of land produce 88 bushels of corn, how much will 168 acres produce? Ans. 14784 bush. 3. In a certain army there were 16 regiments, each regiment consisted of 12 companies, and each company of 74 men; 1749 of these were slain in battle; how many were left? Ans. 12459. 4. A man bought a farm of 425 acres, for which he gave 6840 dollars; what was that per acre? Ans. $16. Ans.. 5. Reduce to its lowest terms. 425 6. What is the largest number that will divide 132 and 356 separately without a remainder? 7. What will 349 lbs. of beef come to at 2 d. Ans. 4. per lb. ? Ans. 2. 18 s. 2 d. Ans. 1. 8. From 13 take. 9. If a coat and waistcoat can be made from 3 yds. and 3 qrs. of cloth that is 14 yds. wide, how much will it require to make the same from cloth only 2 qrs. 3 nls. wide? Ans. 9 yds. 10. A owes B $400, to be paid as follows: $100 in 6 months, $150 in 8 months, and the remainder in one year; in what time may the whole be paid at once, without loss to either? Ans. 9 months. 11. Reduce .,, and a common denominator. to equivalent fractions having Ans. 용궁동, 용궁동, 금융, 동18. 12. What is the interest of 9672 dollars for 2 yrs. 7 mo. and 4 dys. at 8 per cent? Ans. $2007.477. Ans. 12. 13. What is the square root of Z8} ? 14. If 40 bushels of rye at 4 s. per bushel, 10 bushels at 6 s. per bushel, 30 at 5 s. per bushel, and 20 at 3 s. per bushel, be mixed together, what will 10 bushels of the mixture be worth? Ans. $7.166. 15. How many cubic feet of wood in a load 7 ft. 10 in. long, 3 ft. 11 in. wide, and 3 ft. 6 in. high? Ans. 107 ft. 4 in. 7" 16. If men can reap 84 acres of wheat in 24 days, how many men can reap 100 acres in 10 days? Ans. 20 men. 17. What is the difference between the sum of the squares of 23 and 42, and the cube of 25? Ans. 13332. Ans. . 18. Reduce 1 to its lowest terms. 19. If a legacy is left me of 2000 dollars, of which 500 are payable in 6 months, 800 in 1 year, and the remainder at the end of 3 years; how much ready money should I receive for said legacy, allowing 6 per cent. discount? Ans. $1833.374. 20. In 61 £. 12 s. how many shillings, pence, and farthings? Ans. 1232 shill.; 14784 d.; 59136 qrs. 21. A merchant has 16 hogsheads of tobacco, each weighing 8 cwt. 15 lbs.; what will it amount to if he sell it for 12 cents per lb. ?. Ans. $1630.* 22. In 13 bars of gold, each weighing 9 oz. 5 pwts., how many grains? Ans. 57720. 23. What will 4560 yards of cambric cost at 1 s. 6 d. per yard? 24. Reduce 342 £. to dollars. Ans. 342 f. Ans. $1140. 25. Reduce 1 s. 6 d. to Federal money. Ans. 25 cents. 26. If 4560 yards of cloth cost 1140 dollars, what is it per yard? Ans. 25 cents. 27. Reduce 2 roods 16 rods to the decimal of an acre. Ans. .6. Ans. .3333+. 28. Reduce to a decimal fraction. 30. Ans. 2 roods 16 rods. London, Feb. 13th, 1832. For value received, I promise to pay A B or order fortytwo dollars and fifty cents, on demand, with interest after four months. W. M. Ans. What is due on this note at the present time? 31. What is the value of 1 cwt. of sugar at 9 d. per pound? Ans. 3. 15 s. 32. Reduce 146 days, 2 hours, 24 minutes, to the decimal of a year? Ans. .4. * The answers to question 21st, and all of the kind, hereafter, are found by considering 100 pounds a hundred weight-which is now generally the case in the transactions of business. The answers to all previous questions in which avoirdupois weight is concerned, are agreeable to the old method of considering 112 pounds a hundred weight. If question 21st be considered after the latter method, the answer will be $1822. |