39. 1. What do you understand by 1 seventh? 3 sevenths? 4 sevenths? 5 sevenths? 2. What is meant by 1 eighth? 5 eighths? 1 ninth? 3 ninths? 5 ninths? 7 ninths? 3. What is meant by 3 tenths? 9 tenths? 5 twelfths? 11 twentieths? 4. How many ninths in a unit, or whole thing? how many tenths? how many elevenths? how many twelfths? how many twentieths? 5. How many times 1 in 14 sevenths? in 32 eighths? in 45 ninths? 6. How many times 1 in 70 tenths? in 44 elevenths? in 30 fifteenths? in 80 twentieths? 7. What is 1 seventh of 42? of 63? of 84? 8. What is 1 eighth of 24? of 56? of 64? 9. What is 1 ninth of 36? 3 ninths? 7 ninths? 10. What are 3 tenths of 50? of 60? of 90? 11. What is 1 twelfth of 72? 5 twelfths? 7 twelfths? 12. What is 1 twentieth of 60? 14 twentieths? 13. How many times 1 in 19 eighths? in 40 ninths? in 65 twelfths? 14. How many times 1 in 25 sevenths? in 56 tenths? in 52 elevenths? 15. In 3 and 5 sevenths how many sevenths? 20. If 10 pounds of sugar cost 80 cents, what part of 80 cents will 3 pounds cost? 5 pounds? 21. If a man earn 72 dollars in 1 month, how much will he earn in 1 fourth of a month? 5 sixths? 4 ninths? 7 eighths? 5 twelfths? 22. What is the difference between 7 eighths of 64 and 5 ninths of 81? 23. What will 5 eighths of a bushel of chestnuts cost at 10 cents a quart? 24. What will be the cost of 4 sevenths of 14 dozen of eggs at 11 cents a dozen? 25. If James has 108 cents, and Henry has 7 twelfths as many and 20 cents more, how many cents has Henry? 26. What will be the cost of 1 ninth of a hogs head of molasses at 12 cents a quart? 27. Menzo, having 48 dollars, gave 1 sixteenth of his money for a hat, 3 eighths for a coat, and 3 twelfths for some books and a quarter's tuition; how many dollars had he left? 28. A man bought a horse for 120 dollars; he gave 7 tenths as much for a carriage as he paid for the horse, and 3 sevenths as much for a harness as he paid for the carriage; how much did the whole cost him? 29. If a man put 200 dollars at interest, and receive 3 twentieths of it annually for its use, how many dollars does he receive ? 30. If a vessel sail 12 miles an hour, how many times 9 miles will she sail in 3 eighths of a day? 31. Abel has 49 marbles, and Alonzo has 6 sevenths as many wanting 10; how many has Alonzo? 32. A man, having 300 cedar posts, sold 2 fifths of them to A, 1 sixth to B, 3 tenths to C, and 40 posts to D; how many had he left? 33. What will be the cost of a gold watch weighing 1 third of a pound at 1 dollar a pennyweight? 34. What will be the cost of 3 eighths of 2 gallons of wine at 40 cents a pint? 35. A grocer bought 27 dozen of eggs for 240 cents, and sold 5 ninths of them for 12 cents a dozen, and the remainder for 10 cents a dozen; how Lauch did he gain by the operation? 40. 1. 9 is 1 fourth of what number? ANALYSIS. 9 is 1 fourth of 4 times 9; 4 times 9 is 36. Therefore 9 is 1 fourth of 36. 2. 7 is 1 fifth of what number? 8. 11. 9 times 4, and 3 fourths of 4 are how many? 12. 6 times 9, and 7 ninths of 9 are how many? 13. 10 times 12,and 5 twelfths of 12 are how many? 14. 14 times 2, and 1 half of 2 are how many? 15. 8 times 11,and 7 elevenths of 11 are how many? 16. 5 times 20, and 13 twentieths of 20 are how many? 17. 64 are how many times 8? 5? 12? 18. 47 are how many times 9? 10? 8? 6? 19. 81 are how many times 8? 9? 11? 12? 20. 35 are how many times 7? 6? 8? 9? 21. 75 are how many times 5? 6? 7? 9? 25? 22. 3 fourths of 16 are how many times 6? ANALYSIS. 3 fourths of 16 are as many times 6 as 6 is contained times in 3 times of 16; 1 fourth of 16 is 4, and 3 times 4 is 12; 6 is contained in 12, 2 times. Therefore 3 fourths of 16 are 2 times 6. 23. 6 tenths of 100 are how many times 5? 24. 5 twelfths of 72 are how many times 3? 4? 6? 8? 3 eighths of 24 are how 25. 7 ninths of 63 many times 4? 5? 6? 7? 8? 26. 11 twentieths of 80 +7 fifteenths of 45 are how many times 6? 7? 9? 12? 13? 41. 1. If 1 fourth of a yard of cloth cost 12 cents, what will 1 yard cost? ANALYSIS. If 1 fourth of a yard cost 12 cents, 4 fourths, or 1 yard, will cost 4 times 12 cents; 4 times 12 cents are 48 cents. Therefore, if 1 fourth of a yard cost 12 cents, 1 yard will cost 48 cents. 2. If 1 fifth of a pound of tea cost 10 cents, what will 1 pound cost? 3. If 1 third of a gallon of molasses cost 20 cents, what will 1 gallon cost? 4. 20 is 1 third of what number? 5. 10 is 1 fifth of what number? 6. If 1 half of a cord of wood cost 2 dollars, what will 1 cord cost? what will 2 cords cost? 7. A man gave 2 shillings for his dinner, which was 1 twelfth of all the money he had; how much money had he? 8. A drover sold some sheep, and gained by the sale 15 dollars, which was 1 fourth of what the sheep cost him; what was the cost of the sheep? i 9. If sixth of a ton of hay cost 3 dollars, what will 3 sixths cost? 5 sixths? 1 ton? 10. If a man can walk 6 miles in 1 eighth of a day, how far can he walk in 1 day? in 2 days? in 3 days? 11. James had 40 plums, and divided 1 fourth of them equally among 5 of his companions; how many did he give to each? 12. 6 is 1 eighth of what number? 13. 15 is 1 fifth of what number? 14. 40 is 1 third of what number? 15. 1 fourth of 40 is how many times 5? 7? 16. 1 sixth of 90 is how many times 4? 5? 6? 17. I have 16 dollars, which is 1 third of what I paid for 12 sheep; how much did I pay a head? 18. A man plowed 36 acres of his farm; 3 fourths of this was just equal to 1 third of the whole number of acres in his farm; how many acres in his farm? 19. A pole stands 12 feet in the water, which is 1 fifth of the length of the pole; how long is the pole? 20. Bought a watch and chain; for the chain I gave 15 dollars, which was 1 fourth of what I paid for the watch; what did they both cost me? 21. If 1 twelfth of an acre of land cost 5 dollars, what will 2 acres cost? 42. 1. If 3 fourths of a barrel of flour cost 6 dollars, what will one barrel cost? ANALYSIS. If 3 fourths of a barrel of flour cost 6 dollars, 1 barrel will cost 4 times 1 third of 6 dollars; 1 third of 6 dollars are 2 dollars, and 4 times 2 dollars are 8 dollars. Therefore, &c. 2. If 4 fifths of a barrel of ale cost 8 dollars, what will 1 barrel cost? 3. If 5 ninths of a month's wages amount to 25 dollars, what will a month's wages amount to? 2 months' ? 4. What will 1 barrel of flour cost, if 5 sevenths of a barrel cost 10 dollars? 5. Sold a cow for 25 dollars, which was 5 fourths of what she cost me; what did she cost me ? 6. Bought 4 barrels of vinegar at 6 dollars a barrel, which was but 3 ninths of its real value; what was its real value per barrel? 7. A speculator bought some pork for 90 dollars, which was 9 elevenths of what he sold it for; how much did he gain? |