Written Exercise 231. 1. Find the total contents of 5 bins of grain containing respectively, 6 bu. 3 pk. 2 qt. 1 pt.; 9 bu. 2 qt. 1 pt. ; 50 bu. 2 pk.; 48 bu. 3 pk. 2 qt. 1 pt.; 156 bu. 1 pk. 2. I had 3 loads of coal delivered weighing respectively 18 cwt. 8 lb.; 1 T. 5 cwt. 6 lb.; 1 T. 12 cwt. 10 lb. What was the total weight? 3. Express the above loads in tons and pounds and find the cost at $6.75 a ton. 4. In 6 oil barrels the following quantities of oil remain: 15 gal. 2 qt. 1 pt.; 26 gal. 3 qt. 1 pt.; 19 gal. 3 qt.; 25 gal. 2 qt.; 2 gal. 3 qt.; 3 qt. 1 pt. Find the total amount, also its value at 10 a gallon. 5. From 20 mi. 95 rd. take 4 mi. 5 rd. 5 yd. 6. From 17 yd. 2 ft. take 15 yd. 2 ft. 6 in. 7. From 23 A. 70 sq. rd. take 16 A. 95 sq. rd. 8. A walk containing 180 sq. yd. 81 sq. ft. is to be paved with brick. After 134 sq. yd. 6 sq. ft. of the paving have been completed, how much remains to be paved? 9. The distance around a 4-sided field is 880 yd. The distance along 2 sides is 88 rd. What is the distance in rods along the other 2 sides? 10. From a barrel of petroleum which 37 gal. 3 qt. 1 pt. have been drawn out. mains in the barrel? contained 441 gal., How much still re 11. A woman worked at her home for 1 hr. 50 min., and at her neighbor's for 9 hr. 40 min. of 12 hours remained? How much of a day 12. Find the total weight of 1 T. 12 cwt. 40 lb. 13 oz. ; 71 T. 56 lb. 11 oz. ; 16 cwt. 14 oz. ; 94 T. 11 cwt. 66 lb. 10 oz. Written Exercise 232. Illustrative Example. What is the time in years, months, and days from May 11, 1897 to Aug. 7, 1908 ? WORK 1908 8 7 1897 5 11 11 2 26 EXPLANATION. August being the 8th and May the 5th month in the year, we use 8 and 5 for the months, and making the later date the minuend, subtract the earlier date from it. 30 days are considered a month, 360 days, 1 year. Ans. 11 yr. 2 mo. 26 da. Find the time in years, months, and days between : 1. Jan. 1, 1883 and June 23, 1892. 2. Apr. 25, 1897 and Sept. 8, 1903. 3. Jun. 12, 1902 and Nov. 17, 1907. 4. Jan. 4, 1901 and April 30, 1905. 5. Feb. 24, 1898 and Aug. 31, 1908. 6. Oct. 26, 1906 and Aug. 20, 1907. Written Exercise 233. Illustrative Example. Find the exact rumber of days from April 13, 1907 to Sept. 26, 1907. WORK 17 April 31 May 30 June 31 July 31 Aug. 26 Sept. 166 EXPLANATION. There are 17 more days in April, 31 days in May, 30 in June, 31 in July, 31 in August, and 26 in September, making a total of 166 days. The exact number of days can also be obtained thus: between April 13 and Sept. 26 there are 5 months 13 days; as 3 of the months have 31 days, the whole number of days will be 16 da. = 166 da. Find the exact number of days from: 1. Apr. 7, 1906 to Dec. 3, 1906. +5 x 30 da. Ans. 166 days. Written Exercise 234. Illustrative Example. Multiply 5 gal. 3 qt. 1 pt. by 9. = 31 qt., with the 7 gal. reserved = 52 gal. We write 52 gal. Multiply: 1. 15 gal. 2 qt. 1 pt. by 5 We write the 3 qt., and times 5 gal. = 45 gal., Ans. 52 gal. 3 qt. 1 pt. 5. 23 A. 7 sq. rd. by 3 235. Illustrative Example. Divide 126 bu. 3 pk. 4 qt. into 7. An automobile runs 456 mi. 18 rd. in 6 da. average per day? What is the 8. A board 12 ft. 9 in. long is cut into 9 equal lengths. Find the length of each. 9. Divide 18 A. 66 sq. rd. into 60 equal house lots. How much land has each ? Change to the lowest given denomination and divide : 1. 28 A. 20 sq. rd. by 1 A. 14 sq. rd. 2. 56 sq. yd. 2 sq. ft. 36 sq. in. by 19 sq. ft. 3. 14 mi. 116 rd. by 13 yd. 2 ft. 4. 60 lb. by 1 lb. 14 oz. ; by 3 lb. 12 oz. Ans. 80. 5. How many pellets of 5 gr. each can be made from 2 lb. of soda? 6. How long will it take a train going at the rate of 36 mi. 160 rd. an hour to cover 438 mi. ? 7. How many packages each containing 7 lb. 8 oz. can be made out of 1 bu. (60 lb.)? 8. Into how many 45-min. periods can a forenoon from 9 to 12 o'clock be divided? 9. How many steps of 2 ft. 8 in. each are there in 1 mi.? 10. How many books at 18. 6d. each can be bought for £5 6 d.? 11. How many loads of coal averaging 1875 cwt. are there in 73 T. 250 lb. ? 12. How many tons (2000 lb.) are contained in 20 long tons (2240 lb.)? 13. How many years of 365 da. are 4 yr. of 365 da. 5 hr. 48 min. 46 sec. and how many hours, minutes, and seconds over? Written Exercise 237. 1. A grocer bought canned goods, at $2.50 per dozen quart cans, and paid $140 for the lot. How many quarts were there? 2. Allowing for a shrinkage of in the process of canning the above lot, how many bushels of fruit were used? 3. At $.06 a quart, how many bushels of beans can be bought for $15.60 ? 4. At 4 a quart, how much is received for 6 bu. 2 qt. 1 pt. of hazelnuts? 5. How many barrels, each holding 2 bu., will be required to pack 305 bu. 1 pk. of turnips? 6. At 21 per pound, what is the value of 1 bbl. of flour? 7. At the rate of 30 a bushel, 80 lb. to the bushel, what is the value of a ton of coal? 8. In 6 T. 960 lb. of wheat there are how many bushels of 60 lb. each? Find its cost at 90 per bushel. 9. How much silver is needed to make 1 gross of spoons of 15 pwt. each? What is its value at 51 an ounce ? 10. What is the total weight of gold in 3 watch cases containing 1 oz. 4 pwt.; 1 oz. 1 pwt. 12 gr.; 19 pwt. 19 gr. ? 11. At the rate of $16.50 per pound Troy, what is the cost of 1 oz.? 12. Reduce 188,000 gr., apothecaries' weight, to pounds. 13. How many badges of 7 pwt. 3 gr. each can be made out of 6 lb. of silver? 14. The distance from A to Z is traveled in 70 hr. 42 min. 33 sec. on boat, and by automobile in the time. What is the automobile's time? |