CHAP. V. DIVISION. SECTION 1. 1. A lady divided 15 peaches among some little girls, giving 3 to each girl. How many girls were there? Solution. As many times as 3 peaches are contained in 15 peaches, so many girls there were. 2. If you had 16 cents to lay out in pencils, and the price of the pencils were 4 cents apiece, how many could you buy for all the money? 3. How many times is 4 contained in 16? 4. If 4 horses a e required to draw one wagon, how many wagons might be drawn by 20 horses? 5. How many times 4 in 20? How many are 5 times 4? 6. If a man can travel 4 miles in one hour, how many hours will it take him to travel 12 miles? 7. How many times 4 in 12? How many are 3 times 4? 8. How many yards of broadcloth, that is sold at 7 dollars a yard, can be purchased for 14 dollars? 9. How many times 7 in 14? How many are 2 times 7? 10. How many lead pencils could you buy for 18 cents, if they were sold at 6 cents apiece? 11. How many times 6 in 18? How many are 3 times 6? 12. In an orchard there are 35 trees, standing in rows, 7 trees in a row. How many rows are there? 13. How many times 7 in 35? How many are 5 times 7? 14. A man bought sheep at 4 dollars apiece, and paid for them all, 24 dollars. How many did he buy? 15. How many times 4 in 24? How many are 6 times 4? 16. A gardener set out 30 peach trees, in rows, put ting 5 trees in a row. How many rows were there? 17. How many times 5 in 30? How many are 6 times 5? 18. A farmer got 36 dollars for some sheep, that he sold at 6 dollars apiece. How many were there? 19. How many times 6 in 36 ? How many are 6 times 6? CHAP. V. DIVISION. SECTION 1. 1. A lady divided 15 peaches among some little girls, giving 3 to each girl. How many girls were there? Solution. As many times as 3 peaches are contained in 15 peaches, so many girls there were. 2. If you had 16 cents to lay out in pencils, and the price of the pencils were 4 cents apiece, how many could you buy for all the money? 3. How many times is 4 contained in 16? 4. If 4 horses a e required to draw one wagon, how many wagons might be drawn by 20 horses? 5. How many times 4 in 20? How many are 5 times 4? 6. If a man can travel 4 miles in one hour, how many hours will it take him to travel 12 miles? 7. How many times 4 in 12? How many are 3 times 4? 8. How many yards of broadcloth, that is sold at 7 dollars a yard, can be purchased for 14 dollars? 9. How many times 7 in 14? How many are 2 times 7? 10. How many lead pencils could you buy for 18 cents, if they were sold at 6 cents apiece? 11. How many times 6 in 18? How many are 3 times 6? 12. In an orchard there are 35 trees, standing in rows, 7 trees in a row. How many rows are there? 13. How many times 7 in 35? How many are 5 times 7?" 14. A man bought sheep at 4 dollars apiece, and paid for them all, 24 dollars. How many did he buy? 15. How many times 4 in 24 ? How many are 6 times 4? 16. A gardener set out 30 peach trees, in rows, put ting 5 trees in a row. How many rows were there? 17. How many times 5 in 30? How many are 6 times 5? some sheep, that he 18. A farmer got 36 dollars for sold at 6 dollars apiece. How many were there? 19. How many times 6 in 36 ? How many are 6 times 6? 20. A trader wishes to pack 56 hats in boxes, putting 8 hats in a box:- how many boxes are wanted? 21. How many times 8 in 56? How many are 7 times 8? 22. How many dozen of eggs can you buy for 63 cents, when they are sold at 9 cents a dozen? 23. How many times 9 in 63? How many are 10 times 6? 7 handkerchiefs, how worth? How many are 8 times 7? How many are 7 times 9? 24. If an orange be worth 6 cents, and a lime 1 cent, then how many oranges are 60 limes worth? 25. How many times 6 in 60 ? 26 If one silk bonnet be worth many bonnets are 56 handkerchiefs 27. How many times 7 in 56 ? 28. If I give a barrel of flour for 4 bushels of wheat, how many barrels must I give for 29. How many times 4 in 36? 30. If a man can build 8 rods of many days will it take him to build 31. How many times 8 in 72? 32. If 5 bushels of wheat will pay for a yard of broad cloth, how many yards will 45 bushels pay for? 36 bushels? How many are 9 times 4? fence in a day, how 72 rods ? How many are 9 times 8? 33. How many times 5 in 45? How many are 9 times 5? 34. Lafayette was 42 days on his passage from Toulon to New York. How many weeks was his passage? 35. How many times 7 in 42? How many are 6 times 7? SECTION 2. 1. Suppose 2 men have 8 biscuit to divide equally between them;-how many must each man take? Observation. There are 2 men to share the biscuit, and if there were only 2 biscuit to be divided, then 1 man would take 1 biscuit. Therefore, 1 man will now take 1 biscuit of every 2 biscuit. Solution. As many times as 2 is contained in 8, so many biscuit must each man take. 2 is contained in 8, 4 times. 2. If 12 dollars be divided equally between 2 men, how many dollars does each man receive? 3. If 18 chestnuts should be divided equally between 2 boys, how many would each boy receive? 4 A tenant cultivated a piece of corn, agreeing to give the owner of the land 1 bushel of every 2 bushels that he might raise. He raised 22 bushels. How many bushels should the owner of the land receive? 5. Suppose 3 boys have 12 oranges to divide equally between them;-how many must each boy take? Observation. If the 3 boys had only 3 oranges to divide, each boy would take 1 orange; if they had 2 times 3 oranges, each boy would take 2 times 1 orange:-and thus, each boy will take as many times I orange, as there are threes in the number to be divided. Solution. As many times as 3 is contained in 12, so many oranges must each boy take. 3 in 12, 4 times. 6. If 15 biscuit be divided equally between 3 men, how many biscuit does 1 man receive? 7. 3 careless boys must pay 24 cents for breaking a square of glass. What must each boy pay? 8. A man set out 27 trees, in 3 rows; an equal number in each row. How many were there in one row? 9. 4 boys have 12 oranges to divide equally between them. How many will each boy receive? Observation. If the 4 boys had only 4 oranges to divide, then each boy would receive 1 orange. Therefore each boy must receive 1 orange of every 4 oranges that there are in the number to be divided. Solution. As many times as 4 is contained in 12, so many oranges will each boy receive. 4 in 12, 3 times. 10. I have 32 minutes to spend on 4 lessons. many minutes can I spend on each lesson? How 11. Suppose I wish to give 28 quills to 4 boys;-how many must I give to each boy? 12. 4 men received 20 dollars for doing a piece of work. How much was each man's share? 13. A fisherman hired a boat, agreeing to give the owner, 1 fish of every 5, that he might catch: he caught How many should he give the owner ? 20. 14. If 35 pounds of beef be divided among 5 soldiers, how many pounds does each soldier receive? 15. 5 men have agreed to pay equal shares of 50 dol lars. How many dollars must one man pay? |