92. A farm is sold for $5700, at a loss of of the cost. What was the cost? 93. When it is noon at Philadelphia, it is 15 seconds and 10 minutes past 5 P.M. at Paris. What time is it at Phila delphia when it is noon at Paris? 94. A, B, and C buy a house. B C $1200. 95. After James has spent of his money and 1⁄2 of the remainder, he has but $1.50 left. How much had he at first? 96. A man buys oranges at $1.20 per 100. How many would he have to sell, at 25¢ per dozen, to gain $3.18? 97. From a piece of cloth measuring 28 yards, there have been sold 23 yards, 63 yards, 133 yards. If the remainder is worth $13.10, what was the value of the whole piece? 98. A man left for charitable purposes $3600, which was of his money. The remainder was divided equally among 8 relatives. How much did each relative receive? DENOMINATE NUMBERS CHAPTER IV. Reduction, Descending and Ascending, Compound PERCENTAGE Applications and Simple Interest. MEASUREMENTS Area of Rectangles, Square Measure, Solid Contents, REVIEW OF SIMPLE NUMBERS AND FRACTIONS Special Drills, Sight Approximations, Fundamental REVIEW PROBLEMS Miscellaneous, Oral, Written. PAGES 173 to 189 189 to 194 195 to 209 209 to 218 218 to 228 DENOMINATE NUMBERS. 249. Preliminary Exercises. How many quarts in 5 gal. ? How many pints in 23 qt. 1 pt. ? How many pints in 5 gal. 3 qt. 1 pt.? REDUCTION DESCENDING. 250. Reduce 5 gal. 3 qt. 1 pt. to pints. In the first few examples, write 4 (the number of quarts in a gallon) above the quarts, and 2 (the number of pints in a quart) above the pints. In 5 gallons there are 5 times 4 quarts, or 20 quarts; adding the 3 quarts, we have 23 quarts, as the equivalent of 5 gallons 3 quarts, which is written in the column of quarts. In 23 quarts there are 23 times 2 pints; adding 1 pint, we have 47 pints as the equivalent of 5 gallons 3 quarts 1 pint. This is written in the column of pints, the 23 quarts being cancelled. 4 qt. 2 pt. 5 gal. 3 qt. 1 pt. 23 qt. 47 pt. Ans. 47 pt. Changing a denominate number to an equivalent denominate number of a lower denomination is called reduction descending. 252. Change 67 pt. to gallons, quarts, and pints. Place 2 (the number of pints in a quart) above 67 pints. In 67 pints there are 33 quarts and 1 pint. Write 33 quarts to the left of 67 pints, and the 1 pint remainder in the column of pints. Change the 33 quarts to 8 gallons 1 quart, and cancel 33 quarts. 4 qt. 2 pt. 33 qt. 67 pt. 8 gal. 1 qt. 1 pt. Ans. Changing a denominate number to an equivalent denominate number of a higher denomination is called reduction ascending. 254. Review the tables of Long Measure, Dry Measure, Liquid Measure, Avoirdupois Weight, and Time, Art. 93, pages 43-44. Change: 1. 17 yd. 1 ft. 9 in. to inches. 7. 11 rd. 34 yd. to feet. 9. 3 bu. 6 qt. to quarts. 10. 17 T. 369 lb. to pounds. 11. 15 hr. 16 min. to seconds. 12. 4 wk. 6 da. 11 hr. to hours. NOTE. Reduce a denominate fraction or a denominate decimal to lower denominations by multiplying. 18. 729 quarts to bushels, etc. 29. 319 pints to gallons, etc. 255. Oral Exercises. 1. How many hours in of a day? 2. How many hours in 3. How many minutes in of a day? . of an hour? 4. How many hours and minutes in of a day? = day 4 hours; hour minutes. = 48 minutes. day 4 hours 48 5. How many quarts and pints in 3 of a gallon? 6. How many hours and minutes in .2 day? 7. How many quarts and pints in .375 gallon? 8. Change .3 day to hours and minutes. 9. Change .625 bushel to pecks and quarts. 10. What part of a gallon is 1 pint? 11. What part of a gallon is 3 pints? |