16. Charles was one of 6 boys, who owned together 42 books. They divided the books, and Charles received 1 book of every 6 books. How many did he receiver 17. If 24 books should be divided equally among 6 boys, how many would each boy receive? 18. 6 men have agreed to pay 36 dollars in equal sbares. How many dollars must each man pay? 19. Edward is one of 7 boys, who are to have 28 peaches divided equally among them. How many will Edward receive for his share ? 20. If 7 writing-books be made of 42 sheets of paper, how many sheets are there in each book ? 21. 8 boys owned together 72 quills; and, in order to share them equally, each boy took 1 quill from every 8 quills in the number. How many did each boy take? 22. I have 48 dollars to divide among men. How many dollars must I give to one man ? 23. 9 men shared 45 bushels of corn among them, each man taking for his share, 1 bushel of every 9 bushels. How many bushels did each man take ? 24. 9 persons have agreed to make up a purse of 72 dollars. How many dollars must each one put in ? 25. 10 sailors are to receive 90 dollars for retaking their ship. How much will each sailor receive? Section 3. 1. Charles has 25 cents, which he has engaged to appropriate as follows. Whenever he blots his writingbook, he is to lay it aside, and pay 6 cents for a new one. Now how many books can he pay for; and how many cents will he have remaining, after his number becomes too small to buy another book. Observation. If his whole number of cents were 30, he could then pay for five books; because, 6 cents are contained in 30 cents, 5 times. Again, if his whole number of cents were only 24, he could then pay for 4 hooks; because, 6 cents are contained in 24 cents, 4 times. 2. Suppose it takes 8 buttons to trim a vest: - how many vests can the tailor, who has only 34 buttons, trim, and what number of buttons will he have remaining? 3. How many times 8 in 34; and how many over? 4. How many glass tumblers, at 10 cents apiece, can a woman that has only 53 cents, buy; and how many cents will she have remaining ? Solution. As many times as 10 is contained in 53, so many tumblers she can buy. 10 is contained in 53, 5 times, and there is three over. 5. How many kegs, that will hold 7 gallons apiece, may be filled from a cask of wine containing 46 gallons; and how many gallons will remain in the cask? 6. How many times 7 in 46; and how many over ? 7. A hat-maker has 53 hats finished; and, in order to send them to market, he must pack them in boxes, that will hold 8 hats apiece. How many full boxes can he send; and how many hats will remain on hand ? 8. How many times 8 in 53; and how many over ? 9. A trader has 69 dollars with which he wishes to purchase hats. If he should pay 7 dollars apiece for the hats, how many could he purchase; and how many dollars would he have remaining ? 10. How many times 7 in 69; and how many over ? 11. If 4 yards of cloth will make 1 cloak, how many cloaks can be made from a piece of cloth containing 38 yards; and how many yards will there be over? 12. How many times 4 in 38; and how many over ? 13. How many times is 4 contained in 29; and how many over? How many are 7 times 4, and 1 more? 14. How many times is 6 contained in 53; and how many over? How many are 8 times 6, and 5 more? 15. How many times is 9 contained in 57; and how many over ? How many are 6 times 9, and 3 more? 16. How many times is 7 contained in 68; and how many over ? How many are 9 times 7, and 5 more? 17. How many times is 5 contained in 49; and how many over? How many are 9 times 5, and 4 more? 18. How many times is 3 contained in 26; and how How many are 8 times 3, and 2 more? 19. In 15, how many times 4; and how many over? In 17 ? In 26 ? In 33 ? . In 27 ? In 42 ? many over ? 20. In 27, how many times 5; and how many over? In 29 ? In 36 ? In 32 ? In 44 ? In 48 ? 21. In 28, how many times 6; and how many over? In 37 ? In 38 ? In 46 ? In 49 ? In 22 ? 22. In 30, how many times 7; and how many over ? In 36 ? In 43 ? In 48 ? In 51 ? In 59 ? 23. In 28, how many times 8; and how many over? In 35 ? In 46 ? In 52 ? In 61? In 75 ? 24. In 31, how many times 9; and how many over ? In 34 ? In 42 ? In 50 ? In 67 ? In 70 ? 25. A gallon measure, used for measuring wine, beer, milk, &c. will contain as much as 4 quart measures Suppose I have 15 quart measures full of water;-how many gallon measures can I fill from them; and how many quarts will there be over ? 26. How many gallons are there in 34 quarts ? 27. 3 feet, measured on a line, are the same as 1 yard. How many yards are there in 29 feet? 28. How many yards are there in 17 feet ? 29. 60 minutes, by the clock, make 1 hour. How many hours are there in 128 minutes ? 30. 12 inches, on the carpenter's rule, make 1 foot. How many feet long is a board, that is 65 inches long? 31. How many feet are there in 38 inches ? 32. 8 drams of medicine, weighed by the apothecary, are the same as 1 ounce of medicine. How many ounces are there in 46 drams ? 33. How many ounces are there in 30 drams? 34. 9 square feet, measured upon the floor, make 1 square yard. How many square feet are there in 20 square yards? 35. How many square yards in 51 square feet ? 36. 7 days are 1 week. How many weeks in 33 days? 37. How many weeks are there in 52 days ? 38. 12 pence, in English money, make 1 shilling. How many shillings are there in 69 pence? 39. How many shillings are there in 46 pence? 40. 10 cents, in Federal money, make i dime. How many dimes are there in 48 cents ? 41. How many dimes are there in 95 cents ? SECTION 4. CORRESPONDENT EXAMPLES 1. How much will 5 pounds of dates cost, when the price of them is 7 cents a pound? Solution If one pound cost 7 cents, 5 pounds will cost 5 times 7 cents. 5 times 7 are 35. 2. How many pounds of dates can you buy for 35 cents; the price being 7 cents a pound? Solution. I can buy as many pounds of dates as ? is contained times in 35.7 in 35, 5 times. 3. How many quarts of wine are there in 10 gallons; there being 4 quarts in one gallon ? 4. How many gallons of wine are there in 40 quarts; every 4 quarts making one gallon? 5. How many pence are there in 5 shillings; there being 12 pence in 1 shilling? 6. How many shillings are there in 60 pence; there being 12 pence in 1 shilling ? 7. In 1 penny there are 4 farthings. How many farthings in 9 pence and 3 farthings? 8. How many pence are there in 39 farthings;—and how many farthings are there over? 9. A gentleman went on a journey of 9 days, and paid for his expenses, 4 dollars per day. How much were his expenses during the whole journey? 10. A gentleman, who had been away on a journey for 9 days, found on his return, that he had spent 36 dollars. How much did he spend a day? Suggestion. 9 dollars would allow him 1 dollar a day. 11. If 6 bushels of onions grow upon 1 rod of ground, how many bushels will grow upon To rods ? 12. A man raised 60 bushels of onions upon 10 rods of ground. How many bushels grew upon 1 rod? 13. If a ship sail 7 miles an hour, how many miles will she sail in 7 hours ? 14. If a ship sail 49 miles in 7 hours, how many miles does she sail in 1 hour ? SECTION 5. CONNECTED OPERATIONS. 1. A market man sold 10 pounds of cheese at 8 cents a pound, and received his pay in sugar. at 10 cents a pound. How many pounds of sugar did he receive ? Solution. The price of 1 pound of cheese being 8 cents, the price of 10 pounds is 10 times 8 cents, or 80 cents. -80 cents will pay for as many pounds of sugar, as there are times 10 in 80. 10 in 80, 8 times. 2. In 10 times 8, how many times 10? Solution. 10 times 8 are 80.-10 in 80, 8 times. 3. 4 coaches went from Baltimore to Washington, each carrying 6 boys: the same boys returned, riding 8 in a coach. "In how many coaches did they return ? 4. In 4 times 6, how many times 8 ? 5. How many boxes of raisins at 6 dollars a box, will pay for 4 kegs of tobacco at 9 dollars a keg? 6. In 4 times 9, how many times 6 ? 7. How many sheep worth 4 dollars a head, must be given for 6 tons of hay, worth 8 dollars a ton ? 8. In 6 times 8, how many times 4? 9. How many reams of paper at 3 dollars a ream, will pay for 5 dozen of books at 6 dollars a dozen ? 10. In 5 times 6, how many times 3 ? 11. A hunter, in Michigan, sold 7 pelts at 5 dollars a pelt, agreeing to take his pay in muskets at 8 dollars apiece. The purchaser counted out as many muskets as the pelts would pay for, and finding there was still a balance due to the hunter, he paid this in money. How many muskets and how much money did the hunter receive ? 12. In 7 times 5 how many times 8; how many over? 13. Jn 3 times 4 how many times 5; how many over? 14. In 8 times 5 how many times 7; how many over? 15. In 7 times 7 how many times 5; how many over? 16. In 5 times 6 how many times 4; how many over? 17. In 9 times 3 how many times 6; how many over? 18. In 4 times 8 how many times 9; how many over? 19. In 6 times 9 how many times 8; how many over? |