Had the price been $4.50 per thousand feet, the true multiplier would have been .342, and the cost would have been $4.50 X.342 $1.539. Hence, RULE. First reduce the quantity to hundreds and decimals of a hundred, or to thousands and decimals of a thousand, as the example may require; then multiply the price by the quantity, and point the product as in multiplication of decimals (Art. 171). NOTE 1. C is used to indicate hundreds, and M to indicate thousands. 17. What cost 1200 feet of boards, at $2.10 per C? Ans. $25.20. 18. What cost 12514 feet of timber, at $13.50 per M? Ans. $168.939. NOTE 2. In business transactions the answer to Ex. 18 would be called $168.94. In the remaining examples in U. S. Money, the mills in the answers will be omitted if less than 5, and one will be added to the cents if the mills are 5 or more. 19. What cost 20000 shaved pine shingles, at $6 per M? 20. What cost 13725 bricks, at $6.50 per M? · Ans. $89.21. (a) To find the cost of articles sold by the ton. 21. What cost 2440 lb. of hay, at $18.50 per ton? OPERATION. 2) 2.440 1.22 181 61 976 122 $22.57, Ans. First divide by 2000 (i. e. point off three decimal places and divide by 2), to reduce the weight to tons and decimals of a ton; then multiply by the price. In multiplying, the 50 cents may be used decimally, or the common fraction, , may be used, as in the operation. 22. What cost 5848 lb. of coal at $6.25 per ton? Ans. $18.28. 192. Rule for finding the cost of articles sold by the 100 or 1000. For what is C used? M? What is Note 2? Mode of finding the cost of articles sold by the ton? 193. To find the cost or value of any number of articles when the price is an aliquot part of a dollar. TABLE OF ALIQUOT PARTS OF A DOLLAR, The cost at $1 is evidently as many dollars as there are yards: the cost at 50 c. is half as much as at $1; the cost at 25 c., half as much as at 50 c.; and the cost at 121 c., half as much as at 25 c. Then the cost at 50 c., at 25 c., and at 12 c., added, gives the cost at 87 c. This process is usually called Practice, for which we have the following RULE. Take such aliquot parts (Art. 119, Note) of the num ber of articles as the price is of $1. 24. What cost 48 barrels of apples, at $3.37 per barrel? 25. What cost 24 barrels of flour at $6.333 per barrel ? Ans. $152. 193. Rule for finding the cost when the price is an aliquot part of a dollar? What is this process called? Name the most convenient aliquot parts of a dollar. 26. What cost 48 lb. of raisins, at 124c. per pound? per pair? 194, To find the cost when the number of articles is expressed by a compound or by a mixed number. 31. What cost 9 a. 3 r. 20 rd. of land, at $40 per acre? 32 What cost 83 shares of railroad stock, at $108.50 per share? This process is also called Practice, and may be stated thus: Multiply the price by the entire number of articles, and to this product add such aliquot parts of the price as the fractional part of the number is of a unit. 33. What cost 3 t. 16 cwt. 1 qr. 20 lb. of hay, at $16 per ton? Ans. $61.16. 34. What cost 6 c. 5 c. ft. 8 cu. ft. of wood, at $6 per cord? 35. What cost 243 acres of land, at $48.72 per acre? 194. Rule for finding the cost when the number of articles is expressed by a compound or by a mixed number? 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 $2.37 per yard? = SOLUTION. One yard costs $2.371, .. 4 yards cost 4 times $2.37 $9.50. Now since the price of the butter, 20c., is of a dollar, it will re quire 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 47, number of pounds of butter required, Ans. = Dividing $9.50 by 20c. will give 47.5, or 474, 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 12c. per pound, may be bought for 3 bushels of corn, at 874c. 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. A bill is receipted by the creditor or some person authorized by him acknowledging the payment in writing. 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? How is a Bill receipted? |