29. How many are 2 times 20? 3 times 20? 4 times 20? 5 times 20? 6 times 20? 7 times 20? 8 times 20? 9 times 20? 10 times 20? 30. If a trader make 20 cents on every pound of tea he sells, how much will he make on 5 pounds. SECTION 4. 1. An ounce is a small weight, 16 of which make a pound. How many ounces of tea are there in 3 pounds and 9 ounces of tea? Solution. In 1 pound there are 16 ounces, and in 3 pounds there are 3 times 16 ounces. 3 times 16 ounces are 48 ounces. 48 ounces and 9 ounces are 57 ounces. 2. How many ounces in 8 pounds and 4 ounces? 3. 20 penny-weights of gold make 1 ounce. How many penny-weights in 4 ounces and 13 penny-weights? 4. How many penny-weights are there in 6 ounces and 9 penny-weights ? 5. The brewer sells his beer by the firkin, and a firkin holds as much as 9 gallon measures. gallons are there in 10 firkins and 6 gallons ? 6. In 7 firkins and 3 gallons, how many gallons ? 7. 40 rods, measured by a surveyor's chain, make 1 furlong. How many rods in 3 furlongs and 17 rods? 8. In 4 furlongs and 8 rods, how many rods? 9. There are 12 months in a year. How many months are there in 6 years and 6 months ? 10. In 9 years and 10 months, how many months ? 11. 4 pecks of oats, peas, beans, or any other dry commodity, make 1 bushel. How many pecks of wheat are there in 6 bushels and 3 pecks? 12. In 10 bushels and 1 peck, how many pecks ? 13. 12 pence, in English money, make 1 shilling. How many pence are there in 8 shillings and 6 pence? 14. In 10 shillings and 9 pence, how many pence? 15. 10 cents, in Federal money, make 1 dime. How many cents are there in 7 dimes and 6 cents ? 16. In 4 dimes and 8 cents, how many cents ? 17. In 1 month there are 30 days. How many days are there in 3 months and 15 days? How many 2 3 4 7 9 10 | 11 12 13 14 15 16 17 18 19 20 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112 119 126 133 140 8 16 24 32 40 48 56 64 72 80 88 96 104 112 120 125 136 144 152 160 1827 36 45 54 63 72 81 90 99 108 117 126 135 144 153 162 171 180 When two or more numbers are multiplied together, they are called Factors; and the number arising from 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 are 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? Horo 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, putting 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? 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 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 ? How many are 10 times 67 26. If one silk bonnet be worth 7 handkerchiefs, how many bonnets are 56 handkerchiefs worth? 27. How many times 7 in 56 ? How many are 8 times 7? 28. If I give a barrel of flour for 4 bushels of wheat, how many barrels must I give for 36 bushels ? 29. How many times 4 in 36? How many are 9 times 4? 30. If a man can build 8 rods of fence in a day, how many days will it take him to build 72 rods ? 31. How many times 8 in 72 ? How many are 9 times 8? 32. If 5 bushels of wheat will pay for a yard of broad cloth, how many yards will 45 bushels pay for? 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 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 i 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 is 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 1 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 numper 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. How many minutes can I spend on each lesson ? ii. 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 20. How many should be give the owner ? 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 dollars. How many dollars must one man pay? |