$311, but one being of better quality cost $17.75 more than the other. What was the price of each per yard? 65. How much merchandise can be carried 75 miles for $15.75, if the carriage of 7 cwt. 3 qr. is $2.25, for 18 miles? 66. If 3 men in 16 days of 11 hours, can dig a ditch 18 rods long, 3 ft. wide, and 2 ft. deep, what length of ditch, that is 6 ft. wide, and 3 ft. deep, can be dug by 18 men in 9 days of 8 hours? 67. If the 5 cent loaf weigh 1 lb. 3 oz., when flour is $4.75 per barrel, what should the 6 cent loaf weigh when 19 barrels of flour can be bought for $85.50? 68. By selling tea at 87 cents a pound, a grocer gains 22 per cent. What did he give for 1 cwt. 1 qr. 113 lb? 69. At what rate per cent. will $850 amount to $1430 in 11 Y. 7 mo. 19 dy.? 70. If 118 men in 4 days of 9 hours, dig a trench 120 ft. long, 5 ft. wide, and 23 ft. deep, what will be the width of a trench 211 ft. long, and 3 ft. deep, that 56 men will dig in 17 days of 8 hours? 71. Three men traded in company. A contributed $4500, B. $5300, and C. $5000; at the end of 6 mo. A. put in $2100 more; at the end of 10 mo., B. took out $1700; at the end of 4 mo. C. took out $975, but at the end of 11 mo. he again put in $1300. At the end of 17 months, they had gained $3750. What was the share of each? 72. A board that contains 15.41 square feet, is 1 3' wide. What is the length ? 73. A grocer gains 25 per cent., by selling tea at 83 cents per pound. How much would he gain per cent. by selling 1 cwt. 1 qr. 17.9 lb. for $125? 74. If 73 men can do a piece of work in 63 days, how many men must be added, to complete it in 15.75 days? 75. A bankrupt pays at one time 13 per cent. of his debts, at another, 7 per cent., at another, .095, and at another, 193 per cent. How much was received in the whole, on a debt of $875 ? 76. A butcher sold 763 hams at 5 cents per lb., the average weight being 123 lb. How much rice, at $4.25 per cwt., ought he to receive in exchange? 77. If 18 per cent. is lost by selling shoes at 75 cents a pair, at what price should they be sold to gain 12 per cent. ? 78. An estate of $7000 was to be divided tees, in the proportions of,, 2, and 3. share of each ? among 4 legaRequired the 79. A factor purchased 13 bales of cotton, each containing 3 cwt. 2 qr. 7 lb., at 10 cents per lb. What was his commission, at 27 per cent.? 80. Sold 7 cwt. 1 qr. of sugar for $51.359, the prime cost being 5 cents per lb. At what price per lb. must I sell coffee, to gain the same rate per cent., the cost of 2 cwt. 3 qr. 8 lb. being $30.02? 81. Find the sum of £1,8,, £74, 184s., and 23098d. 82. Four persons trade in company. A contributes of the stock, B. as much as A., C. as much as A., plus } as much as B., and D. the remainder. It is required to divide the gain, which is $763.50, equitably among them. 83. How much tea at 50 cents, 62 cents, 75 cents, and 90 cents a pound, should be mixed with 13 lb. at 70 cents, 15 lb. at 80 cents, and 12 lb. at $1.00, to make a mixture worth 75 cents a pound? 84. How many changes could be rung on 15 bells? 85. In what time could a man walk 175 miles, by taking 11 steps in 7 seconds, and going 2.7 ft. at each step? 86. By travelling 7 miles an hour, for 11 hours a day, a journey can be performed in 13 days. How many days of 10 hours, will be required to perform the same journey, travelling 6 miles an hour? 87. If 7 times 7 lb. of chocolate, cost 10+ 17 dollars, how much will of 7 of 58 lb. cost? 88. What is the length of the longest straight line that can be taken in a room, whose length is 16 ft., breadth 10 ft., and height 9 ft. ? 89. At £1 5s. 3d. per yard, what will be the price of 17 yards of broadcloth ? 90. If the earth contains twice as much water as land, how many tea-spoonfuls of water are there on the globe? 91. How many bricks, each 8 in. long, 4 in. wide, and 2 in. thick, are in a pile 37.3 ft. long, 9.3 ft. wide, and 84 ft. high? 92. At what time between 10 and 11 o'clock, will the hour and minute hands be exactly together? 93. What number, multiplied by 863, will give 1.314? 94. What is the interest of $1794, for 5 yr. 9 mo. 13 dy. at 44 per cent. ? 95. When exchange at St. Louis, on New Orleans, is at 3 per cent. discount, exchange at New Orleans on Philadel phia, at 11 per cent. premium, exchange at Philadelphia on New York, at 5 per cent. premium, how much St. Louis money must be remitted by way of New Orleans and Phila. delphia, to pay a bill of $6370 in New York? 96. When the bills of the United States Bank were selling at a discount of 131 per cent., how much United States Bank money was required to pay a debt of $641.50? 97. After cutting of 16 yards from a piece of cloth which originally contained 29 yd. 3 qr. 2 na., I wish to know at what price per yard the remainder must be sold, to bring $117.95? 98. How many bricks, each 8 in. long, 44 in. wide, and 2 in. thick, will build a wall 183 ft. long, 31 ft. thick, and 63 ft. high? 99. What is the present worth of $17941, due in 3 yr. 5 mo. 23 dy. at 6 per cent.? 100. What is the discount on a note at 90 days for $753.62, at 6 per cent.? 101. A man gave away 3 of the remainder for $1384. worth at that rate? of his farm, and sold § of What was the whole farm 102. 28.094 is 3 of 2 of what number? 13 103. How much wine at 75 cents, 83 cents, 90 cents, and 95 cents a gallon, must be mixed with 14 gallons of water, to make a mixture worth 85 cents a gallon? 104. A man paid $4500 for building a house, on which he is obliged to pay the following annual expenses; for taxes $19.75; ground rent $75; collecting the rent $9.00; repairs $75. What per cent. does he receive on his investment, the house renting for $350 ? 9 105. What part of 4 of 10 of 11 m. 7 fur. 16 r., is of of 5 times 4 fur. 11 r. 4 yd.? 106. A wall is to be built by five men. A. can build of it in 12 days; B. can build of it in 18 days; C. can build of it in 4 days; D. can build of it in 9 days; and E. can build 5 of it in 20 days; in what time will it be completed? 107. A draper by selling a piece of cloth for $60 lost of of 53 per cent. on the prime cost. What did the cloth cost him? 108. A. B. and C. by working together, can do a piece of work in 4 days. A. could do it alone in 15 days, and B. in 10 days; in what time could C. do it? 109. A man being asked his age, replied: "If of of 11, 1 of 4, 2 of 3 of 7 of, and of my age be added to my age, the sum will be 137." What was his age? 110. If 9999999 barrels of flour cost $47499995.25, what is the cost of 1 barrel? 111. 837 is of of what number? 112. How much will be received by discounting a 60 days' note for $5130, at 6 per cent.? 113. What number, diminished by and of itself, gives 18? 114. How many grains of wheat would reach around the globe, if 3 grains occupy an inch? 115. What is the difference between the equitable, and the bank discount of $4380, for 7 months, at 6 per cent.? 116. A legacy of $17000 is to be divided among four persons. A. is to receive, B. of the remainder, C. 1⁄2 of as much as A. and B., and D. the rest. of each? What is the share 117. What number is that, which being divided by of .000841, gives 76.9? 118. How many drops of water in 1⁄2 of 13 Cong. 3 oz. 11 f3 2 f3? 119. Multiply 8450.301 by 9999999. 120. How much was due on the following note, May 15, 1844, interest at 7 per cent.? $975.50 New York, June 29, 1840. For value received, we promise to pay William S. Harris, or order, Nine Hundred and Seventy-Five and Dollars, in four months, with interest afterwards. WILSON & MANLY. Endorsements. Feb. 3, 1841, received $13.50. July 7, 1841, re ceived $17.25, Sept. 4, 1841, received $59.75. Jan. 13, 1842, received $12.00. Oct. 21, 1842, received $250. May 30, 1843. received $25.00. Nov. 7, 1843, received $17.00. Jan. 23, 1844, received $318. 121. Add of of .18 of 53 gal., 17 gal. 3 qt. 1 pt., 963 gal., and 5,3 × 2 of 1 qt. ;-subtract from the sum of 2 gals. 3qt. ;-multiply the remainder by 75.03;— divide the product by .00125; and reduce the quotient to gills. 1 122. Find all the divisors of 314600. 123. What is the weight of a mass of lead that is 4 in. long, 3 in. wide, and 2 in. thick, its specific gravity being 11.351 ? 124. A housekeeper has a teacup, a table spoon, a teaspoon, a pair of scales, and a pail of water, but she has lost her set of weights. How can she weigh 16 lb. 11 oz. 13 dr. with these utensils? 124. Multiply in one line, 7584 by 721. 125. The sum of two numbers is 64.27, and their differ. ence is 18. Required the numbers? 126. Reduce 35,8 miles to inches. 127. An accountant in comparing his books, discovers an error of $495. How did the error probably arise? |