LESSON XLIV. 1. What is the cost of 4 yards of cloth, if one yard costs $ ? 2. If a man can earn $ f a day, in how many days can he earn $ 21 ? 3. What is the cost of one basket of fruit, if 5 baskets cost $ 64? 4. If 3 men can do iz of a piece of work in one day, how much of it can 4 men do in the same time? 5. If 4 men can earn $ 5{ in a day, how much can 5 men earn at the same rate in the same time? 6. How many bushels of wheat can be bought for $84, if one bushel can be bought for $4 ? 7. If a man can earn $ 6s in 4 days, in how many days can he earn $ 13} ? 8. If 7 boxes of fruit cost $ 9}, how much, at the same rate, is the cost of 12 boxes ? 9. How much is the cost of 8 yards of velvet, if 6 yards cost $4? 10. If 4 men can complete a piece of work in 14 days, in what time could 9 men complete it? 11. If 8 men can build a fence in day, how many men should be employed to complete it in 3 days? 12. How much can 12 men dig in one day, if in the same time 3 men can dig is of a rod of ditch ? 13. If į of a yard of cloth costs $ }, how much, at the same rate, is į of a yard worth? 14. What is the cost of į of a basket of fruit, if of a basket costs $4 ? 15. If of a barrel of flour costs $ 3}, how much is of the barrel worth? 16. If one man can build $ of a shed in 2 days, how much of the shed can he build in 3 days ? LESSON XLV. 1. If A can do a piece of work in 2 days, how much of the work can he do in 1 day ? 2. If B can mow a field of grass in 3 days, how much of the field can he mow in 1 day ? 3. C can dig a ditch in 2 days, and B can do the same work in 4 days. How much of the ditch can each dig in 1 day? 4. If one man can build a wall in 3 days, and another man in 4 days, how much of the wall can each man build in 1 day? 5. One man can lay a water pipe in 2 days, and another man in 5 days. How much of the pipe can each lay in 1 day? 6. Mr. A. can reap a field of grain in 2 days, and Mr. B. can reap it in 3 days. How much of the field can both reap in 1 day? 7. How much of the wood can both men cut in one day, if one man can cut it all in 2 days and the other in 4 days? 8. If one man can plow a field in 3 days, and another man in 4 days, how much of the field can both men plow in 1 day? 9. G can do a piece of work in 4 days, and H in 5 days. In how many days can both do the work ? ANALYSIS. — Since G can do a piece of work in 4 days, in 1 day he can do į of the work, and since H can do the work in 5 days, in 1 day he can do y of the work, and both of them in 1 day can do į and }, which equals or of the work; and they can do 28, or the piece of work, in as many days as there are 2% in , or the work, which equals 2; days. 10. John can mow a field of grass in 2 days, and James can mow it in 3 days. In how many days can both mow the field ? LESSON XLVI. 1. If A can build a wall in 2 days, and B in 3 days, how much more of the wall can A build in one day than B? 2. If C can mow a field of grass in 3 days, and D in 4 days, how much less of the field can D mow in one day than C? 3. If a man and a boy together can dig a trench in 2 days, and the boy can dig it in 5 days, how much can the man dig in one day? 4. James and John together can dig a cistern in 3 days. James can dig it alone in 5 days. How much of the cistern can John dig in one day? 5. E and F can do a piece of work in 4 days. E can do it in 6 days. How much more can both do in one day than E can do alone ? 6. A and B can reap a field of grain in 4 days, and A can reap it alone in 6 days. In how many days can B alone reap the grain ? ANALYSIS. Since A and B can reap a field of grass in 4 days, they can reap & of it in 1 day; and since A can reap it in 6 days, he can reap of it in 1 day and B can reap / of it less of it, which equals t'a of it, in 1 day, and he can reap the field in as many days as there are 1'2 in , or the whole work, which equals 12 days. 7. G and H can repair a roof in 2 days; G can do the work in 3 days. In how many days can H repair it? 8. A man and a boy can paint a house in 3 days. The man can do it alone in 4 days. In how many days can the boy paint it? 9. Two men can earn a certain sum of money in 3 days. One of them can earn the sum in 5 days. Iu what time can the other earn it? 10. In 4 days B and C can do a piece of work which C can do in 5 days. In how many days can B do the work? LESSON XLVII. 1. What mixed number equals fő? What integer equals 18? 2. What integer equals 8? What mixed number equals 101? 3. f . equals how many l’s? 14 equals how many l’s ? 4. 99 equals what integer? 11,9 equals what mixed number? 5. 41 equals how many l's ? 4,2 equals how many 3's ? 6. What integer equals 49? What mixed number equals ? 7. How many 3's equal 6,3 ? What mixed number equals 90 ? 8. What mixed number equals 1? What integer equals 24 ? 9. What is the relation of 5 inches to 2 feet? Of 9 inches to 2 feet? 10. What is the relation of 9 inches to 3 feet? Of 4 inches to 3 feet? 11. What is the relation of 40 inches to 1 foot 8 inches ? To 2 feet 6 inches? 12. What is the relation of į mi. to f mi.? To jmi.? 13. What is the relation of mi. to s mi.? To į mi. ? 14. How is the value of į of a quantity obtained ? Of of it? 15. How is the value of į of a quantity obtained ? Of of it? 16. How is the value of of a quantity obtained? Of of it? 17. How is the value of of a quantity obtained ? Of of it? 18. How is the value of f of a quantity obtained ? Of Io of it? LESSON XLVIII. 1. Mr. A. can cut a field of grain in 2 days, and his son can do it in 5 days. In how many days can both cut it? 2. B can earn a sum of money in 2 days, and C in 7 days. In how many days can both men earn it 3. In 8 days, a boy can do a piece of work which his father and he can do in 3 days. In what time can the father do it? 4. In 4 days, 2 men do a piece of work, which one of them can do in 5 days. In what time can the other do it? 5. In 5 days a man and his son can build a fence which the man can build in 6 days. In what tiine can the son build it? 6. At $ 1000 an acre, what is the value of a field 20 rods long and 8 rods wide ? 7. What is the relation of a 2-inch cube to a prism 4 inches long, 3 inches wide, and 2 inches thick ? 8. At $2 a square foot, what is the cost of gilding the surface of a 3-foot cube ? 9. A cubic foot equals about 7 gallons. How many gallons of water can be put into a tank 10 feet long, 5 feet wide, and 2 feet deep ? 10. At $.50 a bushel, what is the value of grain sufficient to fill a bin 12 feet long, 5 feet wide, and 4 feet deep? 11. At $3 a gallon, what is the value of oil sufficient to fill a hollow cube 2 feet long ? 12. At $ 5 a ton, what is the value of 50000 pounds of coal ? 13. How many gallons of water can be put into a tank 12 feet long, 5 feet wide, and 3 feet deep ? 14. If 2 men can do a piece of work in 6 days, and one of them alone can do it in 4 days, in what time can the other do it alone ? |