3. What will 3460 feet of timber come to, at $4 per hundred ? 4. What will 24650 bricks come to, at 5 dollars per 1000? 5. What will 4750 feet of boards come to, at $12′25 per 1000? Ans. 58'187. 6. What will 38600 bricks cost, at $475 per 1000? 7. What will 46590 feet of boards cost, at $10'625 per 1000? 8. What will 75 feet of timber cost, at $4 per 100 ? 9. What is the value of 4000 bricks, at 3 dollars DIVISION OF FEDERAL MONEY. per 1000 ? ¶ 31. 1. If 3 yards of cloth cost $ 5'25, what is that a yard? OPERATION. 3)5'25 Answer, 175 cents, = $175. $5'25 is 525 cents, which divided by 3, the quotient is 175 cents, which, reduced to dollars, is $175, the answer. 2. Bought 4 bushels of corn for $3; what was that a bushel ? 4 is not contained in 3; we may, however, reduce th $3 to cents, by annexing two ciphers, thus: 3. Bought 18 gallons of brandy, for $42'75; what did it cost a gallon? OPERATION. 18)42'75 (2375 mills, = $2'375, the answer. 36 67 54 135 126 $42'75 is 4275 cents. After bringing down the last figure in the dividend, and dividing, there is a remainder of 9 cents, which, by annexing a cipher, is reduced to mills, (90,) in which the divisor is contained 5 times, which is 5 mills, and there is no remainder. Or, we might have reduced $4275 to mills, before dividing, by annexing a cipher, 42750 mills, which, divided by 18, would have given the same result, 2375 mills, which, reduced to dollars, is $2'375, the answer. 90 90 F** 4. Divide $59'387 by 8. OPERATION. Quotient, 7'4238, that is, 7 dollars, 42 cents, 3 mills, and of another mill. The is the remainder, after the last division, written over the divisor, and expresses such fractional part of another mill. For all purposes of business, it will be sufficiently exact to carry the quotient only to mills, as the parts of a mill are of so little value as to be disregarded. Sometimes the sign of addition (+) is annexed, to show that there is a remainder, thus, $7423+. RULE. From the foregoing examples, it appears, that division of federal money does not differ from division of simple numbers. The quotient will be the answer in the lowest denomination in the given sum, which may then be reduced to dollars. Note. If the sum to be divided contain only dollars, or dollars and cents, it may be reduced to mills, by annexing ciphers before dividing; or, we may first divide, annexing ciphers to the remainder, if there shall be any, till it shall be reduced to mills, and the result will be the same. EXAMPLES FOR PRACTICE. 5. If I pay $468'75 for 750 pounds of wool, what is the value of 1 pound? Ans. $0'625; or thus, $0'62. 6. If a piece of cloth, measuring 125 yards, cost $181'25, what is that a yard? Ans. $1'45. Ans. $38'25. 7. If 536 quintals of fish cost $1913'52, how much is that a quintal? Ans. $3'57. 8. Bought a farm, containing 84 acres, for $3213; what did it cost me per acre? 9. At $954 for 3S16 yards of flannel, what is that a yard ? Ans. $0.25. 10. Bought 72 pounds of raisins for $8; what was that a pound? how much? Ans. $0'111; or, $0'111+. 11. Divide $12 into 200 equal parts; how much is one how much? Ans. $0'006. of the parts? % how much? 1205 12. Divide $30 by 750. 30 13. Divide $60 by 1200. 60 how much? 14. Divide $215 into 86 equal parts; how much will one of the parts be? 2.15 how much? 15. Divide $176 equally among 250 men; how much will each man receive? how much? SUPPLEMENT TO FEDERAL MONEY. QUESTIONS. 2. by different denomina5. What are the de 1. What is understood by simple numbers? by compound numbers? 3. tions? 4. What is federal money? nominations used in federal money? 6. How are dollars distinguished from cents? 7. Why are two places assigned for cents, while only one place is assigned for mills? 8. To what does the relative value of mills, cents, and dollars correspond? 9. How are mills reduced to dollars? 10. to cents? 11. Why? 12. How are dollars reduced to cents? 13. to mills? 14. Why? 15. How is the addition of federal money performed? 16. subtraction? 17. division? 19. Of what name is the product in multiplication, and the quotient in division? 20. In case dollars only are given to be divided, what is to be done? 21. When is one number or quantity said to be an aliquot part of another? 22. What are some of the aliquot parts of a dollar? 23. When the price is an aliquot part of a dollar, how may the cost be found? 24. What is this manner of operating called? 25. How do you find the cost of articles, sold by the 100 or 1000? multiplication? EXERCISES. 18. 1. Bought 23 firkins of butter, each containing 42 pounds, for 16 cents a pound; what would that be a firkin, and how much for the whole ? Ans. $159'39 for the whole. 2. A man killed a beef, which he sold as follows, viz. the hind quarters, weighing 129 pounds each, for 5 cents a pound; the fore quarters, one weighing 123 pounds, and the other 125 pounds, for 4 cents a pound; the hide and tallow, weighing 163 pounds, for 7 cents a pound; to what did the whole amount? Ans. $35'47. 3. A farmer bought 25 pounds of clover seed at 11 cents a pound, 3 pecks of herds grass seed for $225, a barrel of flour for $6'50, 13 pounds of sugar at 124 cents a pound; for which he paid 3 cheeses, each weighing 27 pounds, at 8 cents a pound, and 5 barrels of cider at $125 a barrel. The balance between the articles bought and sold is 1 cent is it for, or against the farmer? 4. A man dies, leaving an estate of $71600; there are demands against the estate, amounting to $39876'74; the residue is to be divided between 7 sons; what will each one receive? 5. How much coffee, at 25 cents a pound, may be had for 100 bushels of rye, at 87 cents a bushel? Ans. 348 pounds. 6. At 123 cents a pound, what must be paid for 3 boxes of sugar, each containing 126 pounds? 7. If 650 men receive $86'75 each, what will they all' receive? 8. A merchant sold 275 pounds of iron, at 64 cents a pound, and took his pay in oats, at $0'50 a bushel; how many bushels did he receive? 9. How many yards of cloth, at $4'66 a yard, must be given for 18 barrels of flour, at $9'32 a barrel? 10. What is the price of three pieces of cloth, the first containing 16 yards, at $375 a yard; the second, 21 yards, at $4'50 a yard; and the third, 35 yards, at $ 5'12 a yard? T32. It is usual, when goods are sold, for the seller to deliver to the buyer, with the goods, a bill of the articles and their prices, with the amount cast up. Such bills are sometimes called bills of parcels. Mr. Abel Atlas Boston, January 6, 1827. Bought of Benj. Burdett 121 yards figured Satin, at $250 a yard, 8....... sprigged Tabby, ... 1'25 Received payment, ........ $31.25 10'00 $41'25 BENJ. BURDETT. Salem, June 4, 1827. Mr. James Paywell Bought of Simeon Thrifty 3 hogsheads new Rum, 118 gal. each, at $0'31 a gal. 2 pipes French Brandy, 126 and 132 gal. 1 hogshead brown Sugar, 93 cwt. 3 casks of Rice, 269 lb. each, 5 bags Coffee, 75 lb. each, 1 chest hyson Tea, 86 lb. Received payment, For Simeon Thrifty, 1'12.. 10'34 cwt. '05 lb. $23 '92 PETER FAITHFUL. $706*52 Note. M. stands for the Latin mille, which signifies 1000, and C.-for the Latin word centum, which signifies 100. REDUCTION. 33. We have seen, that, in the United States, money is reckoned in dollars, cents, and mills. In England, it is reckoned in pounds, shillings, pence, and farthings, called denominations of money. Time is reckoned in years, months, weeks, days, hours, minutes, and seconds, called denominations of time. Distance is reckoned in miles, rods, feet, and inches, called denominations of measure, &c. The relative value of these denominations is exhibited in tables, which the pupil must commit to memory. ENGLISH MONEY.' The denominations are pounds, shillings, pence, and far things. TABLE. 4 farthings (qrs.) make 1 penny, marked d. 1 shilling, I pound, 3 Note. Farthings are often written as the fraction of a penny; thus, 1 farthing is written d., 2 farthings, d., farthings, d. |