RULE. Place the several terms of the multiplier under the corresponding terms of the multiplicand. Multiply first by the highest denomination, and set the product of each inferior denomination of the multiplier one place lower than the product of the next higher, always dividing by 12 when the product equals or exceeds that number. What quantity of wood in a pile 9 ft. 7' long, 3 ft. 8′ wide, and 4 ft. 3' high? What quantity of surface in a floor 16 ft. 6' long, and 12 ft. 9' broad? Ans. 210 ft. 4' 6". How many feet in a board 14 ft. 10' long, and 11 inches Ans. 13 ft. 7' 2". wide? When duodecimals are to be divided by one another, the inferior denominations must be reduced to the decimal of a foot. If the square contents of a floor are 210 ft. 4' 6", and one of its sides 12 ft. 9'; what is the other side? 4'6" .375 9' =.75 210.375 12.75-16.5 or 16 ft. 6 in. Ans. If a board 14 ft. 6' long contain 13 ft. 3' 6", what is its width? Ans. 11 inches. As duodecimals can with equal convenience be reduced to decimals, it is unnecessary to multiply examples under this rule. PRACTICE. UNDER this head are included certain short practical methods of operating, applied for the most part to questions, where the value, or the quantity, in a lower denomination, is an even part of a higher denomination. to? EXAMPLES. 1. At 1d. per yard, what will 461 yd. of galloon come The value at 1s. per yd. 461s. 6d. S. d. 11d. of a shilling. 461 6 Ans. 57 8=£2. 17s. 81d. A. 3s. 8d. per bushel, what will 35 bushels of wheat come to ? The value at £1 per bushel-£35 10s. 3. At 15s. per yard, what is the cost of 56 yards? 4. At 75 cents a bushel, how much will 62 bushels of 5. At 25 cents a yard, what will 37 yards of cotton come to? At $1 per yard= 25 cents= =} $37.75 $9433 Ans. 6. At 163 cts. per pound, what is the cost of 251 lb. of coffee? 7. At $9.58 per cwt. what will 1 cwt. 2 qr. 14 lb. of potash cost? 8. At $2.50 fer cord, what will 1 cord 32 feet of wood cost? 9. At 873 cents a pound, what is the cost of 1 lb. 2 oz. of tea? 10. If the interest of a certain sum for a year be $ 18.78, what will be the interest for 10 months? 11. What will 76 lb. brown sugar cost, at 71d. per lb. ? The foregoing are a few examples of the various practical methods, which business men and accountants adopt for convenience and despatch of calculation. Examples for Exercise. 12. 1 cwt. 3 qr. 14 lb. of raisins at £2 11s. 8d. per cwt. Ans. £4 16s. 101d. 13. 1 cwt. 1 qr. 8 lb. of sugar at $8.65 per cwt.. Ans. $11.42. 14. 3624 bushels of wheat at $1.12 cents per bushel . Ans. 407.53. 15. 271 gallons of brandy at $1.25 per gallon. Ans. $34.37. 16. 60 bushels of apples at 163 cents per bushel? Ans. $10. 17. 75 bushels of potatoes at 33 cts. per bushel 18. 463 lb. butter at 12 cts. per pound? 19. 1 gal. 2 qt. 1 pt. of wine at $ 3.62 20. 1 bu. 3 pk. 6 qt. of beans at $1.12 Ans. $25.163. Ans. $ 5.793. cts. per gal.. Ans. $5.89. per bu.. Ans. $2.18 |