EXAMPLE 2.-At £1 10s. 6d. per yd., how many yards of broadcloth can be bought for £7 12s. 6d. ? To find any required part of a simple or compound denominate number, we have RULE I. Find the required part of each simple denominate number composing the dividend, reducing these parts, if necessary, to compound denominate numbers. Then add as in addition of denominate numbers. Or, Reduce the dividend to any convenient denominate number, and proceed as in division of integers, or decimals. Then reduce the result, if desirable, to a denominate number. If we cannot by inspection divide one compound denominate number by another we apply RULE II.-Reduce dividend and divisor to the same denomination, and divide as in integers, decimals, or fractions. 11. If 9 bales of hay weigh 2 T. 7 cwt. 25 lb., what is the average weight? Ans. 5 cwt. 25 lb. 12. If 10 packages of crockery weigh in long ton weight, 3 T. 14 cwt. 3 qr. 12 lb. 11 oz. 10 dr., what is their average weight? Ans. 7 cwt. 1 qr. 26 lb. 7 oz. 9 dr. 13. If 9 barrels hold 363 gal. 3 qt. 1 pt. 2 gi., what is their average capacity? Ans. 40 gal. 1 qt. 1 pt. 2 gi. 14. If 10 sacks contain 39 bu. 2 pk. 6 qt. of wheat, what is their average capacity? Ans. 3 bu. 3 pk. 7 qt. 15. How many town lots containing 28 P. 30 yd. each, can be made of 3 A. 2 R. 19 P. 25.25 yd.? Ans. 20. APPLICATIONS OF SQUARE, CUBIC, AND TIME MEASURES. 246. We propose in this chapter to give some such practical applications of Square, Cubic, and Time Measures, as the pupil is now prepared to understand; omitting for the present, those that involve square root, cube root, &c. These latter will be treated of in another place. 247. SQUARE MEASURE. EXAMPLE 1.-How many sq. yd. in the floor of a rectangular room 5 yd. long and 4 yd. wide? SOLUTION. Since a floor 5 yd. long and 1 yd. wide contains 5 sq. yd., a floor 5 yd. long and 4 yd. wide contains 4 times 5 sq. yd., or 20 sq. yd. Hence to find the area of a rectangular surface (204), we have this RULE.-Multiply the length by the width, expressed in the same denomination. PROBLEMS. 1. How many sq. in. in a rectangular pane of glass 16 x 18 in.? How many sq. ft.? What part of a sq. yd.? 2. How many sq. ft. in a box of glass containing 60 panes, each 10 x 12 in.? Ans. 50 sq. ft. 27.55+ P. 3. How many perches in a village lot 150 ft. long and 50 ft. wide? 4. How many acres in a square farm, each of whose sides is 40 rd. Ans. 10 A. 5. How many acres in a square piece of land measuring 6 miles on each side? Ans. 23040 A. |