ADDITIONAL EXAMPLES TO BE SELECTED FROM BY THE TEACHER. A few of these examples are designed especially to test advanced pupils. 41. Integral Numbers. 71. Owing $2759, I gave in payment a house worth $1575, and land worth $387. How much of the debt remained unpaid? 72. In California, in 1870, there were 23724 farms, containing 11,427,105 acres. What was the average number of acres to a farm? 73. What is the difference in the height of Lake Superior and the Dead Sea, the former being 627 feet above and the latter 1317 feet below the level of the ocean? 74. A man walked 162 miles in 6 days, walking 9 hours each day. What was the average rate per hour? 75. Find the average of the following daily readings of a thermometer: 43°, 47°, 50°, 39°, 38°, 41°, 45°, 48°, 51°, 53°. 76. At a concert there were 75 rows of seats containing 16 persons each, and 50 rows containing 7 persons each; the galleries contained enough to make a total of 2339. How many were in the galleries? 77. Of the above 2339 persons, those who bought tickets paid 25 cents apiece, the rest had complimentary tickets. If the amount collected was $570, how many had complimentary tickets? 78. The salmon caught in the Columbia River and canned in a single season weighed 13,894,760 pounds before they were canned. If the average weight of a salmon was 22 pounds, how many salmon were caught? If the loss in dressing was 3 pounds per salmon, how many pounds were canned during the year? 79. The metric system was legalized in France in 1795; its use was enforced by law in 1845. If half as much time shall elapse between the time it was legalized in this country (1866) and the time it shall be enforced, in what year will its use be enforced here? 80. In 1868 the American whaling-fleet produced 1,485,000 gallons of sperm-oil and 2,065,612 gallons of train-oil. If the average yield for each whale was not less than 4500 gallons, what is the greatest number of whales the fleet could have captured? 81. At $1.15 a gallon for sperm-oil and $0.75 a gallon for train-oil, what did the whole quantity given in Example 80 bring? 82. In a certain school building, in each of 4 rooms there are 58 desks, in each of 2 rooms there are 48 desks, in each of 3 rooms there are 54 desks; in the hall can be seated 396 pupils. How many more seats must be placed in the hall that it may seat as many pupils as there are desks in all the rooms? 83. If in one year the production of carpetings in the United States was as follows, ingrains 16,924,711 yards, tapestry Brussels 1,711,000 yards, Venetian 1,350,017 yards, felt 586,000 yards, velvet 107,000 yards, and of Brussels enough to make 21,485,233 yards in all, how many yards of Brussels were made? 42. Examples with Decimals. 84. How many acres must be added to 26.79 acres that the sum may equal 350 acres? 85. If you have 5.23 meters, 8.72 meters, and 3.972 meters of satin, how many more meters must you get to make 20.5 meters in all? 86. At 0.6 of a cent per pound, what is the cost of the following lots of ice: 357 pounds, 900 pounds, and 465 pounds? 87. At 45 cents per hundred for ice, what is the cost of 85 pounds? 88. If 9 gallons of milk weigh 64.5 pounds, how many pounds. will 1 gallon weigh? 89. If 0.72 of a pound of flour is obtained from a pound of wheat, how many pounds of flour may be obtained from 100 pounds of wheat? from 250 pounds? from 4385 pounds? 90. During the year 1875, in Great Britain, 133,306,486 tons of coal were mined by 525,843 men. What was the average number of tons mined per man? [Ans. to hundredths.] 91. If in the coal-mines of Great Britain 15908 lives were lost during the 14 years previous to 1875, and 1,608,576,193 tons of coal were mined, what was the average loss of life per year, and how many tons were mined to each life lost? [Ans. to hundredths.] 92. If an engine can run a mile in 0.025 of an hour, how many hours will it take to run 40 miles? 93. How much are 17500 francs of Belgium worth, if 1 franc is worth $0.193? 94. If a gas-jet consumes 5 cubic feet of gas an hour, and is burned 4 hours every evening, what is the cost of gas for a week at $0.003 a cubic foot? 43. United States Money. 95. If 4 bushels of beans cost $12.56, what will 9 bushels cost at the same rate? 96. If I can buy eggs at one place for 35 cents a dozen and at another place for 28 cents a dozen, how much money do I save by buying 300 eggs at the latter place? 97. If $597.78 is the dividend and 18 the quotient, what is the divisor? 98. An oil-train containing 12 tanks of oil passed over the railroad this morning. If each tank contained 3745 gallons of oil worth 8 cents a gallon, what was the value of the whole quantity? 99. Mr. Rice received $175 for his month's salary; of this he paid for rent $20, for help $12, meat bill $9.63, grocer's bill $13.41, milk $2.79, fuel $8.25, clothing $43.18, and $11.14 for other expenses. How much of his salary remained unexpended? 100. Two hundred and forty people struck for higher wages, and were out of work 3 weeks in consequence. If their average earnings were $1.35 a day, what was their entire loss for the time? 101. A man bought a barrel of beef (200 pounds) for $16.10. Including 55 cents for freightage and 35 cents for cartage, how much did the beef cost him a pound? 102. Of a barrel of beef which cost 17 dollars, 136 pounds were sold at 12 cents a pound and the remainder at 8 cents a pound. How much was gained? 103. What is the average cost of milk per month for a family whose bills for the year are as follows: $4.34, $3.92, $ 4.34, $ 4.20, $3.72, $3.60, $3.72, $3.72, $3.60, $3.72, $ 4.20, $ 4.34 ? 104. Mrs. Brown's family expenses for the year 1879 were as follows: $114.48, $109.06, $87.93, $138.07, $182.35, $97.16, $153.42, $42.13, $103.42, $147.40, $132.58, $100.74. In 1878 they averaged $113.71 a month. In which year were her family expenses the greater, and how much greater were they? 105. Mr. Sprague had $ 2145 on deposit in a bank. He drew out $572 of his deposit at one time, $ 67 at another, and gave a check for the balance towards the payment of a debt of $ 1700. What was the amount of the check he gave, and how much of his debt remained unpaid? 106. If I pay $29.45 for a load of wheat, when wheat is worth 95 cents a bushel, how much should I pay for a load twice as large when wheat is worth 72 cents a bushel? 107. Mr. Gane and Mr. Searle went on a journey, agreeing to share the expenses equally. Mr. Gane paid: Fares, $25, $42, $ 36.19; Hotel bills, $5.25, $3.12, $ 16; Mr. Searle paid : Fares, $11.94, $ 0.88, $ 1.72 ; Which is in debt to the other, and how much? 108. If it costs $ 200 a year for tuition, $24 for books and stationery, $6 a week for board, and $1.62 a week for a room, how much will it cost a person at college for a year of 38 weeks? 109. Martha bought for a dress 6 yards of cambric @ 17 4, 6 yards @ 18, 5 yards of lace @ 33, 2 spools of cotton @ 5, 1 dozen and a half of buttons @ 18, and paid for work of the dressmaker $ 2.25. What was the whole cost of her dress? 110. A dealer bought 328 bushels of wheat at 87 a bushel, 745 bushels of oats at 56 a bushel, and gave in part payment $425, drawing a check for the balance. For how much was the check drawn? How much 111. Of 1073 bushels of wheat costing 85 a bushel, 142 bushels were sold at 95, and the remainder at $1.12 a bushel. was gained? 112. Of 745 bushels of oats which cost 34 a bushel, 326 bushels, being damaged, were sold at 25 a bushel, and the remainder at 45 ¢ a bushel. Was there a gain or loss by the sale of the oats, and how much? 113. I started out shopping with $30.72, and bought with the money 2 collars @ 10 apiece, 6 collars at the rate of 3 for 25%, 2 pairs of cuffs @ 20, 4 yds. gingham @ 17 and 2 yds. @ 33 ¢, 14 yds. linen @ 33, 1 and a half yds. lace @ 18, 2 and a half yds. edging @ 22. How much money should I have left? 114. When the introduction price for readers is 54 cents, and the exchange price is 36 cents, what is the cost of a new set of readers in a town requiring 675 new readers, and giving 250 old readers in exchange? 115. Mr. Lucas kept 42 bushels of cranberries through the winter, but found in the spring that a third of them was decayed. He then sold the remainder for $4.50 a bushel and received in payment the price which he might have received for the 42 bushels in the fall. What was the price per bushel in the fall? 44. Bills. In the following examples supply dates, etc., when wanting. 116. John Hill sold to J. Sparks & Co. 14 barrels of kerosene at 13 cents a gallon, and 24 barrels at 17 cents a gallon, each barrel containing 50 gallons. Make out Mr. Hill's bill and receipt it. 117. Two customers ordered the following at a restaurant: roast beef 40%, veal pie 35, 2 tumblers milk @ 5, pudding 10%, pie 20 %, pickles 5, sauce 5. Make a statement of the above with amount due; also tell the proper bills and coins to return if $10 should be given in payment. 118. Make out a bill for freightage of the carcasses of 5 hogs weighing, respectively, 442 pounds, 468 pounds, 524 pounds, 537 pounds, and 419 pounds, freightage being 35 a hundred pounds. 119. Make out a bill to Mrs. Drake for a turkey weighing 12 pounds at 21, 8 pounds of beef at 14, 4 hours' work at 25%, and for use of horse and cart 50. 120. Alvin Bliss cut 148 cords of hard wood which he sold at $7.80 a cord, and 87 cords of pine wood which he sold at $5.35 a cord. How much did he receive for the whole? Make out a bill of the above to the New York Central R. R. Company and receipt it by Charles Brown for Mr. Bliss. 121. Make out a bill to yourself from the Boston and Albany R. R. Company for the freight of 1 car-load household goods, 12000 lbs. ; 3 boxes household goods, 1450 lbs.; 1 piano, 1200 lbs.; freightage 24 cents a hundred. 122. Oliver Granger sold to Charles Hyde 57 bushels of corn at 88 a bushel, and 29 bushels of turnips at 45 a bushel, and received $28.38 in part payment. Find how much was still due Mr. Granger, and make out his bill. 123. Dec. 20, 1879, Mrs. S. Coles bought a photograph scrap-book for $1.25 and photographs as follows: 22 pictures illustrating ancient art @ $1.50 a doz., 25 illustrating medieval art @ $1.50 a doz.; Dec. 24, she bought 2 of Landseers' @ 33, 2 of Hunt's @ 35 %, and an etching for 379. If she gave a 10-dollar bill in payment, what change should be returned? Make out and receipt the photographer's bill. |