5. How many gills in 2 gallons 2 qts.? 80 6. How many quart cups could be filled from a 10 gallon keg of wine? how many pint bottles? 40, 80 7. In 48 gills, how many pints? quarts? 12,6 8. How many gallons in 64 gills? in 96 gills? 2, 3 9. How many quarts in 56 pints? gallons?, 7 10. In 10 gallons, how many quarts? pints? gills? 40, 80, 320 11. What will be the cost of 6 gallons of burning fluid, at 15 cents a quart? 3.60 12. If a pint of molasses cost 7 cents, what will a gallon cost? 7.36 13. If one gallon of oil cost 90 cents, what will 3 gallons and 2 quarts cost? 43.15 14. If you should draw 10 gallons and 3 quarts from a hogshead of molasses, how much would remain? 200 1 bushel 16 32 qt. pk. bu. 40 1. How many pints in 1 peck? in 2 pks. 4 qts.? 2. How many quarts in 1 bu. 2 pks.? 3. In 2 bu. 1 pk. 6 qts. how many quarts? 4. In 64 quarts how many pecks? bushels? 5. In 80 pints how many pecks? 18.15 2 6. At 3 cents a pint, what will be the cost of one peck of chestnuts? 7. If one bushel of hickory nuts cost 160 cents, what will be the cost of 6 quarts? 8. Bought 2 pecks of cranberries for 96 cents, and sold them for 5 cents a pint; how much was the gain? 160 The divisions of the year, the names of the months, and the number in each, are shown in the following The following lines will help to remember the number of days in each month: Thirty days hath September, All the rest have thirty-one, Hath twenty-eight; and one day more *In leap-year, 29. 1. How many seconds in 2 minutes? in 5 minutes? 2. How many seconds in 10 minutes? in 20 minutes? 3. How many seconds in 1 hour? in 2 hours? 4. How many minutes in 3 hours? in 5 hours? 5. How many hours in 2 days? in 3 days? 6. In 2 days and 12 hours how many hours? 7. In 6 weeks how many days? in 9 weeks? 8. How many weeks in 49 days? in 84 days? 9. How many weeks and days in 75 days? in 90 days? 10. How many hours in 3 days 10 hours? 11. In 36 months how many years? in 84 months? 12. How many days from January 1st to March 10th, inclusive? 13. How many days from April 10th to the 15th of June? نم و 1. What cost 1 ream of paper, at 20 cents a quire? 4.90 2. What cost 3 dozen lemons, at 3 cents apiece? 3. What cost 2 gross of pens, at 5 cents a dozen? . 4. At 7 dollars a hundred pounds, what will 2 barrels of pork cost? CHAPTER VI. FRACTIONS. 37. 1. WHAT is understood by one half, one third, one fourth, one fifth, &c.? ANS. When a number or thing, as a unit or an apple, is divided into two equal parts, each of the parts is called one half; when into three equal parts, each of the parts is called one third; two of the parts are called two thirds, &c. 2. How many halves in 1? 3. How many thirds in 1? 4. If a peach be divided into 2 equal parts, what is each part called? 5. If an orange be divided into 3 equal parts, what are the parts called? 6. How many halves in 4? ANALYSIS. Since in 1 there are 2 halves, in 4 there are 4 times 2 halves, or 8 halves. Therefore there are 8 halves in 4. 7. How many halves in 5? in 6? 8. How many halves in 7? in 7 and 1 half? 9. How many thirds in 3? in 4? in 5? 10. How many thirds in 7? in 8? in 9? 11. How many thirds in 6 and 1 third? in 6 and 2 thirds? 12. How many halves in 5? how many thirds? 13. How many halves in 10 and 1 half? 14. How many thirds in 9 and 2 thirds? 15. In 8 halves how many whole things? ANALYSIS. Since in 2 halves there is one whole thing, in 8 halves there are as many whole things as 2, the number of halves in 1, is contained times in 8, which is 4 times. Therefore, in 8 halves there are 4 whole things. 16. How many whole things in 12 halves? in 16 halves? in 24 halves? 17. How many whole things in 9 thirds? in 18 thirds? 18. How many whole things in 10 halves? in 12 thirds? in 21 thirds? in 20 halves? 19. How many half bushels in 3 bushels and 1 half? 20. John gave 6 peaches to his 2 brothers; what part of them did each have? 21. What is 1 half of 6? ANALYSIS. It is that number which taken 2 times will make 6; 2 times 3 is 6. Therefore 3 is 1 half of 6. 22. What is 1 third of 9? of 18? of 27? of 36? 23. What is 1 half of 8? of 12? of 18? of 22? 24. How can you take 1 half of an orange? 1 third? 25. How can you take 2 thirds of an apple? 26. William had 30 new pennies, and John had 1 half as many; how many had John? 27. If a pound of candles cost 15 cents, what will 1 third of a pound cost? 2 thirds? 28. George is 12 years old, and Mary is 2 thirds as old as he; how old is Mary? 29. If a barrel of flour cost 10 dollars, and a barrel of cider 1 half as much, what is the cost of the cider? 30. If 3 tons of hay cost 27 dollars, what part of 27 dollars will 1 ton cost? 2 tons? 31. A boy, having 33 cents, spent 2 thirds of them; how many had he left? 32. Edwin gave 2 peaches and 1 half to his sister, and 1 peach and 1 half to his brother; how many peaches did he give to both? 33. A farmer, having 44 sheep, sold 1 half of them; how many had he left? |