NOTE. add. - Reduce each to integers of lower denominations, then 22. Add bu. 17 pk. 4 pt., 6 bu. 33 pk. 2 qt., bu. 1 pk. 5 qt. 23. What is the sum of 3 T. 3 cwt. and § lb. ? the 14 pwt. 34 pwt.; 34 pwt. - 18 pwt. = 12 gr. = 3 gr. As we cannot take 18 pwt. from 14 pwt., we take 1 oz., which equals 20 pwt., and add to 1 oz. from the 2 oz., leaving 1 oz.; but as we cannot take 10 oz. from 1 oz., we take 1 lb 12 oz., and add it to 1 oz. take 10 oz. 3 oz. Since we took 1 of the 6 13 oz., from which lb., we have 5 left; 7. From 260 mi. take 23 mi. 7 fur. 25 rd. 5 yd. 2 ft. 10 in. 8. A man having an acre of ground, sold 25 sq. sq. yd. 8 sq. ft. to one man, and 50 sq. rd. 9 sq. yd. 4 How much land had he left? to another. 9. From 12 cwt. subtract 9 cwt. 14 lb. 12 oz. rd. 11 sq. ft. 10. From a hogshead of molasses, 25 gal. 3 qt. 2 pt. were drawn at one time, and at another time 10 gal. 1 pt. How many gallons remained? 11. From 2 bu. 3 pk., 1 bu. 2 pk. 6 qt. were sold. How much remained? 12. An apothecary bought 2 lb. of quinine, and sold 1 lb. 3 oz. 5 dr. 2 sc. 11 gr. How much had he left? 13. What is the difference in longitude between New York (74° 0′ 3′′ W.) and San Francisco (122° 25′ 40′′ W.). NOTE. When both places are in east or in west longitude, their difference in longitude is found by subtraction. 14. Charles walks 25 mi. 4 rd. 2 yd. south of the school, and Henry 16 mi. 160 rd. 3 yd. in the same direction. How far are they apart? 15. From of a mile take 161 rods. 16. Rome is in longitude 12° 28′ 40′′ E., and Paris in long. 2° 20′ 14′′ E. What is their difference in longitude? 17. From of a pound Avoir. take 33 oz. 18. From 163 bu. take 74 pk. 19. From .325 T. take 6.543 cwt. 20. From .7 of a rod take 4 yd. 2 ft. 8 in. 21. From 22 da. 16 hr. 20 min. take 24 weeks. DIFFERENCE BETWEEN DATES. 158. 1. Find the time from Jan. 25, 1842, to July 4, 1896. 2. What is the exact number of days between Dec. 16, 1895, and March 12, 1896 ? Dec. 15 Jan. 31 Feb. 29 Mar. 12 87 days. Do not count the first day mentioned. There are 15 days in December, after the 16th. January has 31 days, February 29 (leap year), and 12 days in March; making 87 days. Ans. 3. How much time elapsed from the landing of the Pilgrims, Dec. 11, 1620, to the Declaration of Independence, July 4, 1776? 4. How much time elapsed from the beginning of the Civil War, April 14, 1861, to the close of the war April 9, 1865? 5. Washington was born Feb. 22, 1732, and died Dec. 14, 1799. How long did he live? 6. Washington was first inaugurated April 30, 1789. How long ago was his inauguration? 7. How much time will have elapsed since Columbus discovered America, Oct. 12, 1492, to your next birthday? 8. Mr. Smith gave a note dated Feb. 25, 1896, and paid it July 12, 1896. Find the exact number of days between its date and time of payment. 9. A carpenter earning $2.50 per day, commenced Wednesday morning, April 1, 1896, and continued working every week day until June 6. How much did he earn? So. Fred was born Dec. 20, 1875; how old is he now? 11. How much time has elapsed since George Washington was 15 years old? 12. Gen. Grant was born April 27, 1822. How old would he be if he were alive to-day? 13. How long since Lee surrendered to Gen. Grant? 14. Find the exact number of days between Jan. 10, 1896, and May 5, 1896. 15. When can a boy who was born May 5, 1882, celebrate his 25th birthday? 16. John goes to bed at 9.15 P.M. and gets up at 7.10 A.M. How many minutes does he spend in bed? MULTIPLICATION OF COMPOUND NUMBERS 159. 1. Multiply 4 yd. 2 ft. 8 in. by 8. yd. ft. in. 4 2 8 8 39 0 4 = 8 times 8 in. 64 in. 5 ft. 4 in. Place the 4 in. under the inches column, and reserve the 5 ft., to be added to the product of 2 ft. by 8, which equals 16 ft. (add 5 ft.) 21 ft. 21 ft. ÷ 3 = 7 yd., with no remainder. Add 7 yd. to the product of 4 yd. by 8 · 32 yd. (add 7 yd.) = 39 yd. 2. gal. qt. pt. gi. 31 3 2 3 5 bu. pk. qt. pt. 12 3 2 1 8 3. If a man travel at the rate of 60 mi. 240 rd. 16 ft. in one day, how far will he travel in ten days? 4. A man owns 6 farms, each containing 75 A. 49 sq. rd. 25 sq. yd. of land. How much land in all the farms? 5. If 6 loads of hay weigh 6 T. 18 cwt. 75 lb., how much will 48 loads weigh? NOTE. 48 loads will weigh 8 times as much as 6 loads. 6. If 12 spoons weigh 3 lb. 8 oz. 15 pwt., how much will one gross of spoons weigh? 7. How much oil will 7 barrels hold if each barrel contains 35 gal. 2 qt.? 8. What is the value at $4 per cord of 10 piles of wood, each containing 5 cd. 5 cd. ft. 12 cu. ft. ? 9. What is the weight of 15 packages, each weighing 1 lb. 4 oz. (Avoir.) ? 10. If a bicyclist travels 75 mi. 140 rd. in one day, how far can he travel in ten days? 11. In a watch-chain there are 2 oz. 12 pwt. 15 gr. of gold. How much gold is required for 25 such chains? 12. A farmer has six bins, each containing 60 bu. 2 pk. of wheat. How much wheat has he? 13. If a train is run for 8 hours at the average rate of 50 mi. 30 rd. 10 ft. per hour, how great is the distance covered? 14. It takes John Smith 5 hr. 20 min. 11 sec. to plough one acre of ground. At the same rate, how long will it take him to plough 4 acres? 15. 4 gal. 3 qt. 1. pt. × 11 = ? 16. 2 A. 40 sq. rd. 16 sq. yd. × 20 = ? DIVISION OF COMPOUND NUMBERS. 160. 1. Divide 16 lb. 9 oz. 17 pwt. 8 gr. by 10. 20 pwt., to + 9 oz. 81 oz. 1 of 81 oz. = which add 17 pwt., 37 pwt. of 37 pwt. 3 pwt., with 7 pwt. 168 gr., to which add 8 gr.; and taking of the sum, = remaining, When the divisor is large, employ long division. |