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COAL. A cubic foot of anthracite coal, before it is prepared for domestic use, will on an average weigh about 93 lb. When broken for the market it will average about 54 lb.
To estimate the weight of coal in any given space.
RULE. Multiply the contents in cubic feet by 54, for anthracite, or by 50, for bituminous coal, and the product will be the weight in pounds.
1. How many tons of anthracite coal, of 2240 lb. each, can be stored in a bin 28 ft. long, 20 ft. wide, and 4 ft. deep?
ANALYSIS.—28 X 20 X 4 X 54 - 2240=54 tons.
2. How many pounds of bituminous coal in a car 30 ft. long and 7 ft. wide, the depth of the coal being 16 in. ?
3. How many pounds of anthracite coal can be placed in a cart which measures 6 ft. in length, 41 ft. in width, and 16 in. in depth?
4. I wish to build a bin in my cellar to hold 8 tons of anthracite coal, 2240 lb. to the ton; I have made the length 12 ft., and the width 10 ft.; what must be the height of the bin?
5. How many pounds of bituminous coal can be stored in a space 50 x 50 x 121 ft. ?
6. How many tons of anthracite coal, 2000 lb, to the ton, can be stored in a yard which measures 60 ft. in length, and 30 ft. in width, the depth of the coal being 6 ft. ?
%. A dealer purchases 1500 tons of anthracite coal, 2240 Ib. to the ton, which he wishes to store in an inclosure 100 ft. long, and 80 ft. wide; what will be the depth of the coal ? GENERAL REVIEW PROBLEMS. 1. Three brothers divide an estate of $16000 in the proportion of 3, 4, and 5; the expenses of settlement are $120, which are defrayed by them in proportion to their shares; what are the net proceeds of each man's share?
2. A dealer buys coal at $5.20 per long ton, and sells it at $6.00 per ton of 2000 pounds; what % does he gain?
3. A grocer bought 12 doz. eggs, at 121 cents per dozen; 10 eggs were destroyed by an accident, 6 doz, were sold at 15 cents per dozen, and the remainder at 4% below cost; did he gain or lose by the transaction, and how much?
4. A teamster refused an offer of 10% advance on the price of a horse which he had just purchased; on account of a defect, however, he was obliged to sell the animal for $110, thereby losing 10%; how much was he offered at first?
5. If a stock bought at 8% discount yields 7% on the investment, at what rate of discount must it be bought to yield 10% on the investment?
6. A merchant in Kansas City received a consignment from New York; it included 5 boxes of prints weighing 1465 lb.; 20 barrels of sugar, 7132 lb.; 23 packages of hardware, 13923 lb.; and 2 barrels of molasses, 1100 lb. The rates to that point, per 100 lb., were $1.58 on the prints, 62 cents on the sugar and molasses, and $1.38 on the hardware. The percentage for each road was as follows:New York to Pittsburgh 331%, Pittsburgh to Chicago 31%, Chicago to St. Louis 231%, and St. Louis to Kansas City 121 %. What were the earnings of the different roads on each article, and what was the whole amount paid by the consignee in Kansas City?
7. A carpenter owing a merchant, worked for him 91 days; at settlement it required of the carpenter's wages to pay the bill, leaving him a balance of $91; what did he receive per day?
8. What is the weight of a block of granite, the length being 23 feet, the width 12 feet, and the thickness 9 feet?
9. The cost of certain goods is $7.20. They are marked 30% above cost, and the salesman is instructed to take off 10% for cash; what is the cash price?
10. A merchant has a 30-day note discounted, for which he receives $900; what was the face of the note, if discounted at 6%, on the third day after it was drawn?
11. How many perches of stone, 22 cu. ft. to the perch, in the foundation walls of a house, the length being 30 ft., the width 16 ft., the depth 6 ft., and the thickness of the walls 18 in.?
12. How many cubic yards of earth must be removed, in digging a cellar 30 ft. long, 11 ft. 6 in. wide, and 6 ft. deep, and how many loads will it require to remove the loose material, if 2000 pounds are a load ?
13. Three steamers trading from New York to the West Indies make the round trip in 16, 18, and 20 days respectively; if they all start from New York at the same time, how many trips will each be required to make before they are again together in that port?
14. A's rate of walking is to B's as 4 is to 5; if they start from the same point and travel in opposite directions, how far apart will they be at the end of 31 hours, provided A travels 31 miles per hour?
15. If 74 yards of oil cloth 11 yards wide cost $98, what will be the cost of 158 yards at the same rate, if the width is 14 yards ?
16. A merchant sells dress goods at 37} cents per yard, and thereby clears 33} %; what would his profit have been on 6 pieces of 48 yards each, if he had sold them at 30 cents per yard?
17. Two men receive a sum of money which they agree to divide in the ratio of to }; if the smaller share is $17.28, what is the whole sum?
18. A produce dealer sold three lots of potatoes at $.90, $1.121, and $1.371 per bushel respectively; he afterwards invested $748 in potatoes, paying for them at the average rate of those sold; how many bushels did he purchase?
19. A merchant bought goods for $1800 which he marked at 20% above cost, but sold them for 5% less than the marked price; what % did he gain?
20. A firm of three persons divided the profits of a year's business; the first received 5, the second I, and the third the balance; the first man received $1500 more than the third; what was the amount divided ?
21. Sold goods costing $180 at 25% advance, and received in payment a note at 60 days, which I had discounted in bank at 7%; what was my profit?
22. The distances from Baltimore to St. Louis are as follows: Baltimore to Parkersburg 384 miles, Parkersburg to Cincinnati 205 miles, Cincinnati to St. Louis 340 miles. A car load of hams, 50 tierces, weighing 23426 pounds, is carried the entire distance at 42 cents per 100 pounds. What is earned by each road in the proportion of its length?
23. How much will it cost, at 20 cents per square yard, to paint the convex surface of a conical spire whose height is 50 feet, the circumference of the base being 100 feet, and the circumference of the top 4 feet?
24. A, B, and Close $1500 in trade. They agree to divide the loss in the ratio of 2, 3, and 5; what is the loss of each?
25. If 8 yards of cloth 11 yards wide are enough for a suit of clothes, how many yards are needed when the cloth is 13 yards wide?
26. A cubical bin holds 2000 bushels of wheat; what are its inside dimensions?
27. A wholesale merchant sells to a retailer at 40% discount, and the retailer sells to the consumer at 66% profit; what % of the retail price did the goods cost the wholesale merchant, if his profit is 20%?
28. A stevedore, in unloading a vessel, wishes to float 2000 cubic feet of lignum-vitæ by placing it along with some cedar lumber. How many feet (board measure) will be required, allowing 10% additional for the safety of the persons guiding the raft to the shore?
29. Hay can be pressed until a cubic foot weighs 25 pounds; what will be the thickness of a bale into which a ton of hay has been thus pressed, the length being 5 feet, the width being equal to the thickness ?
30. A cask filled with pure alcohol contains 130 gallons; what is the weight of the empty cask, if the entire weight is 940 pounds?
31. The distances from New York to Chicago are as follows: New York to Buffalo 440 miles, Buffalo to Cleveland 182 miles, Cleveland to Chicago 356 miles. A car load of grain, 22000 lb., is carried from Chicago to New York at 35 cents per 100 lb. The grain is damaged on the road to the extent of $39.68; what will be the net earnings of each road, the loss and the earnings being divided in proportion to the lengths of the roads ?