195. To exchange goods. 36. How many pounds of butter, at 20c. per pound, shall be given in exchange for 4 yards of cloth, at $2.371⁄2 per yard? SOLUTION. One yard costs $2.37, .. 4 yards cost 4 times $2.37 $9.50. Now since the price of the butter, 20c., is of a dollar, it will require five times as many pounds of butter as there are dollars in the cost of the cloth, and 5 times 9.5 = 47.5, or 471, number of pounds of butter required, Ans. = = Dividing $9.50 by 20c. will give 47.5, or 47, the same result as before. This exchanging of goods is usually called Barter. The examples are solved by Analysis. 37. How many pounds of sugar, at 124c. per pound, may be bought for 3 bushels of corn, at 87c. per bushel? Ans. 21. 38. How many cords of wood, at $5.50 per cord, shall be given in exchange for a barrel of flour, at $7.50, and 5 yards of cloth, at $2.35 per yard? BILLS. 196. A BILL OF GOODS is a written statement of articles sold, giving the price of each article and the cost of the whole. Find the cost of the several articles, and the amount or footing of each of the following bills. 195. What is Barter? How are examples in barter solved? 196. What is a Bill of goods? June 5. To 6 Webster's Dictionaries, at $6.00 Oct. 25. "36 Testaments, Dec. 12. 66 9 Folio Bibles, TO HOLT, WILDER & Co., Dr. 1.5 0 (4.) Received Payment, Mr. A. P. JEwett, S. DANIELS, 1861. Apr. 8. To 16750ft. Boards, at $12.50 M. 1750ft. Boards, 66 2 4.0 0 per M. 1861. Cr. 66 5 0.0 0 66 6.0 0 3 Tons Hay, at $15.50 4 Cords Wood, at Balance due S. P. Received Payment, $120.5 0 $218.38 SAMUEL PALMER. $4 6.5 0 MISCELLANEOUS EXAMPLES IN U. S. MONEY. 1. What cost 3 yards of ribbon, at 56c. per yard? 2. What cost 3 barrels of flour, at $7.62 per barrel? 3. If 4 cords of wood cost $22.50, what is the price per cord? 4. If 15 yards of silk cost $16.87, what is the price per yard? 5. If a merchant deposits $375.50 in a bank at one time, and $487.75 at another, how much will remain after he has withdrawn $176.37 and $346.83 ? 6. A merchant bought 75 barrels of flour for $650 and sold 25 barrels at $9.50 per barrel, and the remainder at $9.25 per barrel; did he gain or lose? How much? Ans. Gained $50. 7. What cost 87 rods of wall, at 75c. per rod? 8. Reduce $28.756 to mills. 9. Reduce $6.18 to mills. 10. Reduce 54598 cents to dollars. 11. Reduce 47689 mills to dollars. 12. My farm cost $3725 and my house cost $1862.75; how much more did the farm cost than the house? 13. A gentleman bequeathed $750 to each of his 3 sons, and $500 to each of his 4 daughters; how much did he bequeath to his children? 14. Paid $16.50 for a coat, $4.25 for a vest, $5.75 for a pair of pants, $3.50 for a hat, $4.37 for a pair of boots, and $12.621 for other articles; what did I pay for all? 15. Divide $113.75 equally between 7 men. 16. Paid $68.75 for flour, at $6.25 per barrel; how many barrels did I buy? 17. How many yards of lace, at 62c. per yard, may be bought for $3.75? 18. What cost 8725 feet of boards, at $12.50 per M? 19. What cost 8248 lb. of coal, at $6 per ton? 20. What cost 3a. 2r. 20rd. of land, at $48 per acre? 21. How many pounds of sugar, at 123c. per pound, will pay for 12 dozen eggs at 163c. per dozen? 22. My real estate is worth $4756.75 and my personal estate $4562.75, I owe $2468.50; what am I worth? 23. At 25c. per mile for a horse and carriage, how far may ride for $3.37? I 24. A drover bought sheep at $3.37 per head and sold them at $3.87 per head, and gained $37.50 by the transactions; how many sheep did he buy? COMPOUND NUMBERS. ADDITION. 197. A COMPOUND NUMBER is composed of two or more denominations (Art. 86) which do not usually increase decimally from right to left; consequently, in adding the different denominations, we do not carry one for ten, but for the number it takes of the particular denomination added, to make a unit of the next higher denomination; thus, in adding Sterling or English Money, we carry 1 for 4, 12, and 20, because 4qr. make 1d., 12d. make 1s., and 20s. make 1£. Ex. 1. Add 6£ 7s. 9d. 3qr., 5£ 12s. 11d. 2qr., 27£ 18s. 10d. 3qr., and 19£ 14s. 8d. 1qr. £ 6 OPERATION. S. d. qr. 7 9 3 5 12 11 2 27 18 10 3 19 14 8 1 Sum, 59 14 Having arranged the numbers as in the margin, the amount of the right-hand column is 9qr. = 2d. and 1qr. Upon the same principle as in addition of simple numbers, the 1qr. is set under the column of farthings and the 2d. are added to the pence in the example, making 40d. 3s. and 4d. Setting the 4d. under the the column of pence, add the 3s. to the shillings in the example, making 54s. = 2£ and 14s., and so proceed, until all the columns are added. 4 1 = 197. Do Compound Numbers increase decimally? Explain Ex. 1. 198. The principle of procedure is precisely the same as in addition of simple numbers. Hence, To add compound numbers, RULE. Write the numbers so that each denomination shall occupy a separate column, the lowest denomination at the right, and the others towards the left in the order of their values. Add the numbers in the lowest denomination, divide the amount by the number it takes of this denomination to make one of the next higher, set the remainder under the column, and carry the quotient to the next column. So proceed until all the columns are added. 199. PROOF. The same as in Addition of Simple Numbers (Art. 47). NOTE 1. In writing and adding the numbers of a single denomination, the rules of simple addition must be observed; thus, in writing the pounds, in Ex. 2, set units under units, and tens under tens, and then, having added the farthings, pence, and shillings, add the units of the pounds, and then the tens, as in addition of simple numbers. 198. Rule for Addition of Compound Numbers? Principle? 199. Proof? Numbers of a single denomination, how written and added? |