DIVISION OF FEDERAL MONEY. 75. To divide a sum expressed in dollars, cents, and mills, by a simple number. RULE. I. If the number to be divided contains dollars cents and mills, divide as in simple numbers, and separate the quotient into dollars cents and mills. II. But if the number to be divided contains only dollars, or dollars and cents, bring it to mills by annexing one or more ciphers: then divide as in simple numbers, and separate the quotient as before. The answer is always sufficiently exact when it is true within 1 mill, and therefore the remainder in mills may always be neglected. But in common business the quotient figure in mills is neglected. When, however, such quotient figure is greater than 5, one may be added to the cents. The sign + is added in the examples, to show that the division may be continued. EXAMPLES. 1. Divide $4, 62 4 by 4; also, $87, 25 6 by 5. OPERATION. 4)84, 62 4 $1, 15 6 2. Divide $37 by 8. OPERATION. 5)$87, 25 6 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, 17 by 16. OPERATION. 8)$37, 00 0 4, 62 5 Ans. $3, 5118. 75. How do you divide in Federal money? When the number to be divided contains only dollars, how do you divide? When is the answer sufficiently exact? In common business are the mills considered? When they exceed five, what do you do? How do you denote that the division may be continued? Ans. $3, 84+. Ans. $0, 06. 4. Divide $495, 70 4 by 129. 1. A man bought a piece of cloth containing 72 yards, for which he paid $252: what did he pay per yard? Ans. $3,50. 2. If $600 be divided equally among 26 persons, what will be each one's share? Ans. 23,07+. 3. Divide $18000 in 40 equal parts: what is the value of each part? Ans. 4. Divide $3769,25 into 50 equal parts: what is one part? Ans. $75,38 5. 5. A farmer purchased a farm containing 725 acres, for which he paid $18306,25: what did it cost him per acre? Ans. $25,25. 6. A merchant buys 15 bales of goods at auction, for which he pays $1000: what do they cost him per bale? Ans. $66,66 6+. 7. A drover pays $1250 for 500 sheep: what shall he sell them for apiece, that he may neither make nor lose by the bargain? Ans. 8. The dairy of a farmer produces $600, and he has 25 cows: how much does he make by each cow? Ans. $24. 9. A farmer receives $840 for the wool of 1400 sheep: how much does each sheep produce him? Ans. $0,60. 10. 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? Ans. APPLICATIONS IN THE FOUR PRECEDING RULES.. 1. 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 $20 apiece: what did he receive for the whole lot? Ans. $414,75. 2. 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? Ans. $4,50 per yard. 3480 yards. 3. 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? Ans. { 4. 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? Ans. $2, 33 3+. 5. 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? Ans. $23,16. 6. 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 a pound: how much coffee will he receive? Ans. 7. A farmer bargains with his tailor for a new coat every six months, a new vest every three months, and three pairs of pantaloons a year: the coats to cost $29,50 each, the vests $3 apiece, and the pantaloons $12 a pair: at the end of two years how much does he owe him? Ans. $214. 8. A bookseller sells 14 dozen of books at $4,56 per dozen. He takes in part payment 6 reams of letter pa per at $3,50 per ream. How much is still due him? Ans. $42,84. 9. A farmer raises 300 bushels of wheat, for which he receives $1,37 per bushel; 500 bushels of potatoes at 29 cents a bushel; 1000 bushels of oats at 34 cents a bushel; and 75 tons of hay for which he receives 16 dollars per ton how much does the whole come to? Ans. $2097,50: $1811,50 10. A farmer has 6 ten-acre lots, in each of which he pastures 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? Ans. $547,92. 11. A drover goes to New York with 40 horses, of which he sells 20 for 125 dollars apiece, and the other 20 for 119 dollars apiece. He sells 17 cows at 24 dollars a head, 12 fat oxen at $130 a pair, and 30 sheep at $3 a head: how much does he receive for them all? Ans. 12. A person settling with his grocer finds that he has purchased 12 pounds of tea at 85 cents a pound; 85 pounds of brown sugar at 93 cents a pound; 64 pounds of coffee at 74 cents a pound; and 38 pounds loaf sugar at 12 cents a pound: how much does he owe? 13. A man lets out 2000 sheep, with the condition that he is to have three-fourths of what they produce after deducting the expenses of shearing: they yield 4 pounds of wool a head, which is sold at 47 cents per pound: the expense of shearing is one-tenth of the whole: what does the owner of the sheep receive? Ans. 14. A man lets out his farm on shares. He is to have half the grain, one-third the price of the hay, and one quarter the increase of the live-stock. At the end of the time, there have been raised, 500 bushels of wheat worth $1,87 a bushel, 300 bushels of oats worth 37 cents a bushel, 250 bushels of corn worth 80 cents a bushel, 65 tons of hay worth $18 a ton; and the increase of the live-stock has been, 5 two years old worth $8 apiece, 8 calves worth $5 apiece, 10 sheep worth $2 apiece, a colt worth $36, and a pair of steers worth $28,50: how much was the owner of the land to receive? Ans. $1056,121. BILLS OF PARCELS. Mr. James Spendthrift New York, May 1st, 1847. Bought of Benj. Saveall. 16 pounds of tea at 85 cents per pound Rec'd payment, Mr. Jacob Johns $27, 68 5 Benj. Saveall. Albany, June 2d, 1847. 36 pounds of sugar at 9 cents per pound 5 casks of rice, 285 pounds each, at 5 cents per 2 chests of tea, 86 pounds each, at 96 cents per Total cost $290,82 pound Rec'd payment, For Gideon Gould, Charles Clark. Gideon Jones Hartford, November 21st, 1847. 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 $90277,70 Jacob Thrifty. |