EXAMPLES. 1. What will 3426 pounds of plaster cost at $3.48 per ton? 2. What will be the cost of the transportation of 6742 pounds of iron from Buffalo to New York, at $7 per ton? 3. What will be the cost of 840 pounds of hay at $9.50 per ton? at $12? at $15.84? at $10.36? at $18.75? DIVISION OF UNITED STATES MONEY. 94. To divide a number expressed in dollars, cents or mills, into any number of equal parts. RULE.-I. Reduce the dividend to cents or mills, if necessary. II. Divide as in simple numbers, and the quotient will be the answer in the lowest denomination of the dividend: this may be reduced to dollars, cents, and mills. PROOF.-Same as in division of simple numbers. NOTE.-The sign + is annexed in the examples, to show that there is a remainder, and that the division may be continued. EXAMPLES. 1. Divide $4.624 by 4: also, $87.256 by 5. OPERATION. 4)$4.624 2. Divide $37 by 8. OPERATION. 5 $87.256 ANALYSIS.-In this example we first reduce the $37 to mills by annexing three ciphers. The quotient will then be mills, and can be reduced to dollars and cents, as before. 3. Divide $56.16 by 16. 4. Divide $495.704 by 129. 5. Divide $12 into 200 equal parts. 6. Divide $400 into 600 equal parts. 7. Divide $857 into 51 equal parts. 8. Divide $6578.95 into 157 equal parts. 93. How do you find the cost of articles sold by the ton? OPERATION. 8)$37,000 $ 4,625 94. What is the rule for division of United States money? How do you prove division? How do you indicate that the division may be continued? 95. The quantity, and the cost of a quantity given, to find the price of one thing (Art. 80). Divide the cost by the quantity. 9. Bought 9 pounds of tea for $5.85; what was the price per pound? 10. Paid $29.68 for 14 barrels of apples: what was the price per barrel? 11. If 27 bushels of potatoes cost $10.125, what is the price of a bushel ? 12. If a man receive $29.25 for a month's work, how much is that a day, allowing 26 working days to the month? 13. A produce dealer bought 3 barrels of eggs, each containing 150 dozens, for which he paid $63: how much did he pay a dozen? 14. A man bought a piece of cloth containing 72 yards, for which he paid $252: what did he pay per yard? 15. If $600 be equally divided among 26 persons, what will be each one's share? 16. Divide $18000 into 40 equal parts: what is the value of each part? 17. Divide $3769.25 into 50 equal parts: what is one part? 18. A farmer purchased a farm containing 725 acres, for which he paid $18306.25: what did it cost him per acre? 19. A merchant buys 15 bales of goods at auction, for which he pays $1000: what do they cost him per bale? 20. A drover pays $1250 for 500 sheep; what shall he sell them for apiece, that he may neither make nor lose by the bargain? 21. The dairy of a farmer produces $600, and he has 25 cows: how much does he make by each cow? 22. A farmer receives $840 for the wool of 1400 sheep: how much does each sheep produce him? 23. A merchant buys a piece of goods containing 105 yards, for which he pays $262.50; he wishes to sell it so as to make $52.50: how much must he ask per yard? 96. When the price of one and the cost of a quantity are given, to find the quantity (Art. 80). NOTE.-The divisor and dividend must both be reduced to the lowest unit named in either before dividing. Divide the cost by the price. 24. If I pay $4.50 a ton for coal, how much can I buy for $67.50? 25. At $7 a barrel, how much flour can be bought for $178.50? 26 How many pounds of tea can be bought for $6.75, at 75 cents a pound? 27. What number of barrels of apples can be bought for $47.50, at $2.37 a barrel? 28. At 44 cents a bushel, how many bushels of oats can be bought for $14.30 ? 29. At 34 cents a bushel, how many barrels of apples can I buy for $13.60, allowing 2 bushels to the barrel? 30. If 1 acre of land costs $28.75, how much can be bought for $3220 ? 31. Paid $40.50 for a pile of wood, at the rate of $3.371 a cord, how much was there in the pile? 32. How many sheep can be bought for $132, at $1.371⁄2 a head? 33. At $4.25 a yard, how many yards of cloth can be bought for $68 ? 34. At $1.12 a day, how long would it take a person to earn $157.50. APPLICATIONS IN THE FOUR PRECEDING RULES. NOTE.-See and repeat Rule-page 53: also the three rules page 74. 1. If 1 yard of cloth costs 3 dollars, what will 8 yards cost? 2. If 1 ton of hay costs $141, what will 9 tons cost? 3. If 1 calf costs $41, what will 12 calves cost? 4. Mr. Jones bought 250 bushels of oats, for which he paid $156.25: how much did they cost him a bushel? 5. If 12 tons of hay cost 150 dollars, what does 1 ton cost? 8 tons? 50 tons? 6. If 9 dozen of spelling books cost $7.875, what will 1 dozen cost? 6 dozen? 8 dozen? 7. If 75 bushels of wheat cost $131.25, how much will 1 bushel cost? 8 bushels? 120 bushels? 8. If 320 pounds of coffee cost $44.80 cents, how much will 1 pound cost? What will 575 pounds cost? 9. Mr. James B. Smith bought 9 barrels of sugar, each weighing 216 pounds, for which he paid $116.64: how much did he pay a pound? 10. If 40 tons of hay cost $580, how much is that per ton? What would 70 tons cost at the same rate? 11. If Mr. Wilson has $120 to buy his winter wood, and wood is $4 a cord, how many cords can he buy? 12. At 6 dollars a yard, how many yards of cloth can be bought for $24? How many for $36? 13. A farmer sold a yoke of oxen for $80.75; 6 cows for $29 each; 30 sheep at $2.50 a head; and 3 colts, one for $25, the other two for $30 apiece; what did he receive for the whole lot? 14. A merchant buys 6 bales of goods, each containing 20 pieces of broadcloth, and each piece of broadcloth contained 29 yards; the whole cost him $15660; how many yards of cloth did he purchase, and how much did it cost him per yard? 15. A person sells 3 cows at $25 each; and a yoke of oxen for $65; he agrees to take in payment 60 sheep: how much do his sheep cost him per head? 16. A man dies leaving an estate of $33000 to be equally divided among his 4 children, after his wife shall have taken her third. What was the wife's portion, and what the part of each child? 17. A person settling with his butcher, finds that he is charged with 126 pounds of beef at 9 cents per pound; 85 pounds of veal at 6 cents per pound; 6 pairs of fowls at 37 cents a pair; and three hams at $1.50 each: how much does he owe him? 18. A farmer agrees to furnish a merchant 40 bushels of rye at 62 cents per bushel, and to take his pay in coffee at 16 cents per pound: how much coffee will he receive? 19. A farmer has 6 ten-acre lots, in each of which he pas tures 6 cows; each cow produces 112 pounds of butter, for which he receives 18 cents per pound; the expenses of each cow are 5 dollars and a half: how much does he make by his dairy? 20. Bought a farm of W. N. Smith for 2345 dollars, a span of horses for 375 dollars, 6 cows at 36 dollars each? I paid him 520 dollars in cash, and a village lot worth 1500 dollars: how many dollars remain unpaid? (21.) BILLS OF PARCELS. Mr. James Spendthrift, New York, May 1st, 1854. Bought of Benj. Saveall. 16 pounds of tea at 85 cents per pound Benj. Saveall. Albany, June 2d, 1854. Bought of Gideon Gould. 36 pounds of sugar at 94 cents per pound 3 hogsheads of molasses, 63 galls, each, at 27 cents a gallon 5 casks of rice, 285 pounds each, at 5 cents per pound 2 chests of tea, 86 pounds each, at 96 cents per 69 chests of tea at $55.65 per chest 126 bags of coffee, 100 pounds each, at 121 cents per pound 167 boxes of raisins at $2.75 per box 800 bags of almonds at $18.50 per bag 9004 barrels of shad at $7.50 per barrel 60 barrels of oil, 32 gallons each, at $1.08 per gallon Received the above in full. Amount, $ Jacob Thrifty. |