55. The circumference of one of my carriage wheels is 12 feet. The circumference of another wheel on the same carriage is 14 feet. How far has the carriage run when the smaller wheel has made exactly 300 more revolutions than the larger wheel? 56. Is the capacity of a cylindrical pail 6 inches in diameter and 5 inches deep more or less than £ of a gallon? 57. At what rate per cent must I invest $800 that in 1 year 6 months it will amount to $854? 58. If exactly J of a stick of timber floating in the water is submerged, and if the timber is 12 inches by 12 inches and 30 feet long, how many pounds does it weigh? Note—If f of the timber is submerged, it weighs £ as much as its own bulk of water. 59. How many pickets are required to inclose a square 2^-acre lot if the pickets are 3 inches wide and 3 inches apart? 60. The boundary of a certain field is described as follows: Beginning at the northeast corner of section 14; thence south, 24 rods; thence west, 20 rods; thence south, 15 rods; thence west, 40 rods; thence south, 41 rods; thence west, 20 rods; thence north, 80 rods; thence east, 80 rods, to the place of beginning. How many acres in the field? 61. At 90 cents a yard, find the cost of carpeting a room that is 15 feet wide and 18 feet long, the carpet to run lengthwise of the room, there being a waste of 1 foot on each breadth, except the first, for matching; carpet 1 yd. wide. 62. The perimeter of a rectangular field is 144 rods and its length is twice its breadth. Find its area. 63. Change -f of a mile to a compound number made up of rods, feet, and inches. 64. Sold ^ of a barrel of sugar for what ^ of it cost. What was the per cent of loss? 65. Sold jf of a barrel of sugar for what £ of it cost. What was the per cent of gain? 66. If a merchant sells goods at a uniform profit of 20%, and his sales on a certain day amount to $60, his gain is how many dollars? 67. Find the cost of 600 ft. of gas pipe, list 280 a foot, at "55 and 3 10's off."* 68. Bought for "60 off" and sold for " 50 off." What was the per cent of profit? 69. From -| of a certain number subtract | of it and 27 remains. What is the number? 70. Divide the number 495 into two parts, the ratio of the parts being as 2 to 3. 71. Divide the number 187 into two parts, the ratio of the parts being as -| to -|. 72. The product of a certain number multiplied by 1| is 352. What is the number? 73. Find the cost at $16 per M. of 2-in. plank for a floor 24 feet by 42 feet. 74. The perimeter of an oblong is 192 ft., and its length is twice its breadth. Find its area. 75. At $45 per M., find the cost of a board 16 feet long, 18 inches wide, and 1\ inches thick. 76. A man bought a horse and a carriage for $315; he paid 2|- times as much for the carriage as for the horse. Find the cost of each. * " 55 and 3 10's off," means " 55 and 10 and 10 and 10 off.' 77. A house and lot cost $5000. For how much per month must it rent to pay the owner a sum equal to 5% of its cost and $230 for insurance, taxes, and repairs? 78. If 4|- lb. of butter can be made from 100 lb. of milk, how much butter per week can be made in a creamery that is receiving 15000 lb. of milk a day? 79. The area of a rectangular piece of land 36 rods, long is 900 square rods. How many rods of fence required to enclose the field? 80. A shingle is 4 inches wide.* If shingles are laid 4^ inches to the weather, each shingle practically covers square inches. Then shingles will cover 1 square foot. On account of waste and short measurements, it is necessary to purchase 9 shingles for every square foot to be covered, if they are to be laid 4^ inches to the weather. Shingles are put up in bunches 20 inches wide and containing 50 courses. Hence each bunch contains 250 shingles. At the lumber yards parts of bunches are not offered for sale. How many bunches of shingles must I purchase for a double roof 35 feet long, rafters 16 feet long, the shingles to be laid 4^ inches to the weather? 81. The square of a certain number is 576. What is its cube? 82. The area of one face of a cube is 64 square inches. What is the solid content of the cube? 83. In plowing an acre with a twelve-inch plow the man walking behind it travels (43560 + 5280) 8| miles. What part of 8^ miles will that man travel who plows an acre with a 14-inch plow? With a 16-inch plow? * Shingles are not of uniform width; but in counting them at the lumber yartlg, ever}' 4 inches in width is called 1 shingle. 84. A can do a piece of work in 12 days. A and B can do an equal amount of work in 8 days. In how long a time can B do the work? 85. The edge of one cube is 2|- times as long as the edge of another cube, (a) The surface of the first cube is how many times the surface of the second cube? (b) The solid content of the first cube is how many times the solid content of the second cube? 86. At " 50 and 10 off" the net cost was $29.34. Find the list price. 87. How many 160-acre farms in a township 6 miles long and 6 miles wide? 88. If there is a 4-rod road on every section line* of a township 6 miles square, (a) how many acres of the township in its roads? (b) How many acres of each square 160acre farm are taken for roads? 89. What single discount is equivalent to "40 and 20 and 10 off"? 90. Estimate the weight of a 4-inch sod from an acre of ground. 91. A room 16 feet by 22 feet has a floor made of 4-inch tile, (a) How many tiles in the floor? (b) How many tiles in the border of four rows? 92. If I buy at 20% below list price and sell at 20% above list price, what is my per cent of gain? 93. Add two hundred and seven thousandths, and two hundred seven thousandths. 94. From nine hundred and eight ten-thousandths, subtract nine hundred eight ten-thousandths. * A section is 1 mile square, and half of the width of the road is on each side of every section line. 95. Add two hundred seventy-five tenths, three hundred twenty-four hundredths, and five hundred thirty-six thousandths. 96. Multiply six hundred twenty-seven and forty-five thousandths by -two and six tenths. 97. Divide one hundred forty-four by twelve hundredths. 98. If the hills of corn are 3|- feet apart each way, (a) how many hills to the acre? (b) If the corn is cut and shocked, putting "8 hills square" in a shock, how many shocks to the acre? (c) If there are "16 hills square" in each shock, how many shocks to the acre? 99. If it is worth $1.00 a cord to cut "4-foot wood" into 16-inch pieces, how much is it worth to cut "8-foot wood " into pieces of the same length? 100. An agent sold 1460 lb. butter at 23^ a pound. If his commission for selling is 5% and he paid charges amounting to $8.96, how much should he remit to the owner of the butter? 101. A lot 50 feet wide and 120 feet "deep" (long) was sold for $450. This is equivalent to what price per acre? 102. Weight of wagon and hay, 4750 lb.; weight of wagon 1620 lb. How much is the hay worth at $12.50 per ton? 103. How many acres in 5£ miles of 4-rod road? 104. The specific gravity of ice is .92. (a) How much does a cubic foot of ice weigh? (b) How many tons of ice, if packed solid, can be stored in a building 12 feet square, the ice to be 8 feet deep? 105. How many tons in an acre of ice 15 inches thick? 106. On the first day of May the water-meter at the Illinois Institution for the Blind stood at 375,400 (cu. ft.); on |