3 dollars over. 1-fourth of 3 dollars is equal to 3-fourths of 1 dollar. 6 dollars plus 3-fourths of a dollar are 6 dollars and 3-fourths...... Or, we may say,-One fourth of 27 dollars is 27-fourths of 1 dollar; equal to 6 dollars and 3-fourths. 2. What is 1-fourth of 27 ? 3. 3 men bought a barrel of sugar for 23 doilars, and div'ded it equally among them, each man taking 1-third of the sugar, and paying 1-third of the price. How many dollars did each man pay? 4. What is 1-third of 23? 5. Suppose a family to eat 26 loaves of bread in a week; what number of loaves would the family consume in 1-seventh of a week, or 1 day? 6. What is 1-seventh of 26? 7. Suppose 48 bushels of wheat are to be divided among 5 men; how much will 1 man receive? 8. What is 1-fifth of 48? 9. 6 men purchased a boat for 27 dollars: each man paid 1-sixth of the money, and owned 1-sixth of the boat. How many dollars did 1 man pay? 10. What is 1-sixth of 27? 11. Suppose a bag of coffee to weigh 65 pounds;— what is the weight of 1-ninth of it? 12. What is 1-ninth of 65? 13. If it will take a man 60 days to clear a piece of wood-land, in what time will he clear 1-eighth of it? 14. What is 1-eighth of 60? 15. A sailor was cast upon a desolate island, and subsisted 10 days upon 34 biscuit, eating an equal quantity each day. How many did he eat each day? 16. What is 1-tenth of 34? 17. If a bar of silver, that is worth 37 dollars should be cut into 3 equal parts, how many dollars would 1 of the parts be worth? 18. What is 1-third of 37? 19. Suppose a party of 9 gold hunters find a quantity of ore, which is worth 88 dollars; what is the value of each man's share? 20. What is 1-ninth of 88? 21. If it take a man 4 months to earn 38 dollars, how much does he earn in 1 month? 22. What is 1-fourth of 38? 23. If 6 barrels of superfine flour cost 35 dollars, what is the price of 1 barrel of it? 24. What is 1-sixth of 35? 25. Suppose 39 bushels of corn to grow upon 1 acre;-how much corn will 1-fifth of an acre produce? 26. What is 1-fifth of 39? 27. If 2 dollars will pay for 13 pounds of butter, how many pounds can be bought for 1 dollar? 28. What is 1-half of 13? 29. If 8 dollars will pay for 78 pounds of cheese, now many pounds will 1 dollar pay for? 30. What is 1-eighth of 78? 31. Suppose 10 men drink 55 gallons of beer in a month;-how much will 1 man drink in a month? 32. What is 1-tenth of 55? 33. Suppose 7 acres of land to produce 60 dollars' worth of hay;-what is the value of the hay which 1 acre of the land produces? 34. What is 1-seventh of 60? 35. If 1 man can clear a piece of wood-land in 29 days, in what number of days would 5 men clear it? Instruction. Consider that 5 men can do 5 times as much work in a day, as 1 man can do: consequently, it will take 5 men only 1-fifth of the time that it will take 1 man to clear the land. 36. How many days will it take 7 men to do a piece of work, that 1 man can do in 46 days? 37. If 1 man will drink a firkin of beer in 50 days, how many days will it last 6 men? 38. Suppose 24 men can hoe a piece of corn in 1 day, what number of men must be employed to hoe it in 8 days? Suggestion. Each man, that shall be employed, can do 8 times as much work in 8 days, as he can in 1 day. 39. If 40 men can build a wall in 1 day, what number of men must be employed to build it in 4 days? 40. If a cistern can be discharged by 1 faucet in 19 bours, in what time can it be discharged by 3 faucets? SECTION 22. 1. If a smith can make 5 cups from 12 ounces of silver, how much silver is required to make 3 cups? Direction. First find how much silver would make 1 cup; then, 3 times that quantity would make 3 cups. 2. What is 3 times 1-fifth of 12? Solution. 1-fifth of 12 is 2 and 2-fifths. 3 times 2 is 6; 3 times 2-fifths is 6-fifths, or 1 and 1-fifth. Then 2 plus 1 and 1-fifth is and 1-fifth. 3. If 22 bushels of wheat will make 4 barrels of flour, how much wheat will make 6 barrels of flour? 4. What is 6 times 1-fourth of 22? 5. Suppose the equipments for 8 soldiers to cost 75 dollars; what would be the expense of equipping 5 soldiers? 6. What is 5 times 1-eighth of 75? 7. If 29 tons of hay will keep 9 horses through the winter, how many tons would 6 horses require? 8. What is 6 times 1-ninth of 29? 9. Suppose 7 acres of pasturage to be worth 65 dollars; what is 3 acres of the same pasturage worth? 10. What is 3 times 1-seventh of 65? 11. If 8 acres of pasturage will keep 35 sheep, how many acres would be sufficient to keep 6 sheep? 12. What is 6 times 1-eighth of 35? 13. Suppose a man to eat 50 pounds of beef in 8 weeks; what number of pounds would he eat in 9 weeks? 14. What is 9 times 1-eighth of 50? 15. If it take 36 yards of broad-cloth to make 10 suits of clothes, how many yards would make 4 suits? 16. What is 4 times 1-tenth of 36? 17. A trader gave 59 dollars for 9 barrels of flour, and sold 3 barrels of it, at the same price per barrel that he gave. For how much did he sell the 3 barrels? 18. What is 3 times 1-ninth of 59? 19. If 6 pounds of brown sugar be sold for 52 cents, what would be the price of 5 pounds of it? 20. What is 5 times 1-sixth of 52? 21. If 8 scholars use 18 quires of paper in a month, how many quires would 10 scholars use in a month? 22. What is 10 times 1-eighth of 18? 23. Suppose a stage to run 58 miles in 7 hours; what distance does it run in 6 hours? 24. What is 6 times 1-seventh of 58? 25. If a mill grind 17 bushels of corn in 2 hours, how many bushels will it grind in 7 hours? 26. What is 7 times 1-half of 17 ? 27. Albert paid 61 cents for 9 writing-books, and William bought 7 writing-books, paying at the same rate. How much did William's books cost him? 28. What is 7 times 1-ninth of 61 ? 29. Suppose a hunter gets 8 pounds of gunpowder in exchange for 44 pounds of venison; how many pounds of venison must he give for 10 pounds of powder? 30. What is 10 times 1-eighth of 44 ? SECTION 23. 1. When writing paper is sold at 20 cents a quire, what is the price of 1-third of a quire? 2. If 1-third of a quire of paper is worth 6 cents and 2-thirds, what is 2-thirds of a quire worth? 3. What is 1-third of 20? 2-thirds of 20? 4. Suppose a yard of ribbon to be worth 23 cents; what is 1-fourth of a yard worth? 5. If 1-fourth of a yard of ribbon is worth 5 cents and 3-fourths, what is 2-fourths of a yard worth? Solution. 2-fourths of a yard is worth 2 times 5 cents and 3-fourths. 2 times 5 cents are 10 cents; 2 times 3-fourths of a cent are 6-fourths of a cent, or 1 cent and 2-fourths. 10 cents plus 1-cent and 2-fourths, are 11 cents and 2-fourths. 6. What is 1-fourth of 23? 2-fourths of 23? 7. Suppose a pound of white sugar to be worth 23 cents; what is 1-fifth of a pound worth? S. If 1-fifth of a pound of sugar is worth 4 cents and 3-fifths, what is 3-fifths of a pound worth? 9. What is 1-fifth of 23? 3-fifths of 23? Solution. 1-fifth of 23 is 4 and 3-fifths...... 3-fifths of 23 is 3 times 4 and 3-fifths. 3 times 4 is 12: 3 times 3-fifths are 9-fifths, or 1 and 4-fifths. 12 plus 1 and 4fifths is 13 and 4-fifths. 10. Suppose a man can walk 34 miles in a day, what distance can he walk in 1-sixth of a day? 11. If a man walk 5 miles and 4-sixths, in 1-sixth of a day, how far will he walk in 5-sixths of a day? 12. What is 1-sixth of 34? 5-sixths of 34? 13. Suppose a bushel of corn to be worth 65 cents, what is 1-seventh of a bushel worth? 14. If 1-seventh of a bushel of corn cost 9 cents and 2-sevenths, what will 3-sevenths of a bushel cost? 15. What is 1-seventh of 65? 3-sevenths of 65? 16. Suppose 1 dollar will pay for 35 pounds of rice, how much rice will 1-eighth of a dollar buy? 17. If 1-eighth of a dollar will buy 4 pounds and 3eighths, how much will 5-eighths of a dollar buy? 18. What is 1-eighth of 35? 5-eighths of 35? 19. Suppose a man earns 70 cents a day; how much does he earn in 1-ninth of a day? 20. If a man can earn 7 cents and 7-ninths, in 1-ninth of a day, how much can he earn in 8-ninths of a day? 21. What is 1-ninth of 70? 8-ninths of 70? 22. Suppose an acre of land will produce 43 bushels of oats; what will 1-tenth of an acre produce? 23. If 1-tenth of an acre produce 4 bushels and 3tenths, what will 7-tenths of an acre produce? 24. What is 1-tenth of 43? 7-tenths of 43? 25. If a yard of cloth will pay for 30 pounds of cheese, how many pounds will 3-fourths of a yard buy? Direction. First find how many pounds 1-fourth of a yard will pay for. 26. A farmer sold 4-fifths of a ton of hay, for oats, allowing 32 bushels of oats to be worth the same as a ton of hay. How many bushels of oats did he receive? 27. What is 4-fifths of 32? 28. Suppose 1 dollar will pay for 38 pounds of rice, for how many pounds will 8-tenths of a dollar pay? 29. What is S-tenths of 38? 30. A man bought a piece of land containing 1 acre and 4-sixths, and paid at the rate of 40 dollars per acre. How much did he pay for the land? 31. What is 40 plus 4-sixths of 40? |