hound is following at the rate of 31 rods in a minute, in how many minutes will the greyhound overtake the fox. 7. If 2 yards of cloth cost 6 dollars, what would 4 yards cost? what would 12 yards cost? 8. If 8 sheep cost 24 dollars, what would 3 cost? 9. If 4 tons of hay will keep 3 horses through the winter, how many tons will keep 30 horses the same time? 10. If a man spends 8 shillings a day, how many dollars will he spend in a week? 11. Bought ten pieces of cloth, each containing 5 yards, for 100 dollars; what was it a piece? and how much a yard? 12. If the wages of 12 weeks come to 60 dollars, what is that a month? and how much for 5 weeks. 13. If 7 horses eat 14 bushels of oats in 1 week, how many bushels would 15 horses eat in the same time? 14. If 3 horses eat 8 bushels of oats in 2 weeks, how long would it take them to eat 40 bushels ? 15. If 1 horse eat 1 bushel of oats in 3 days, in how many days would 4 horses eat 36 bushels ? 16. If 2 men spend 12 dollars in 1 week, how many dollars would 3 men, at the same rate, spend in 5 weeks? 17. If a staff 3 feet long cast a shadow of 2 feet at 12 o'clock, what is the length of a pole that casts a shadow 18 feet at the same time of day? 18. If 47 gallons of water, in 1 hour, run into a cistern containing 108 gallons, and by a pipe 38 gallons run out in an hour, how much remains in the cistern in an hour? and in how many hours will the cistern be filled? 19. If 4 men can do a piece of work in 8 days, how many men would it take to do the same work in 4 days? 20. If 6 men can do a piece of work in 9 days, in how many days would 2 men do it? 21. If 8 men can do a piece of work in 5 days, in how many days would they do a piece of work 4 times as large? 22. If 7 men can do a piece of work in 3 days, how many men would it take to do a piece of work 5 times as large in the same time? 23. If 8 men can do a piece of work in 4 days, in how many days would 2 men do a piece of work one half as large? 24. A man bought a cask of wine containing 63 gallons, 3 sevenths of which leaked out; and he sold the remainder for 36 dollars; how much per gallon did he sell it for? 25. If a cask of wine cost 48 dollars, what is 5 eighths of it worth? 26. A man bought 7 oranges for 6 cents apiece, and sold them all for 54 cents, how much did he gain by the bargain? 27. A man bought 8 yards of cloth for 56 dollars, and sold it again for 9 dollars a yard; how much did he gain by the bargain? 28. A man bought 8 barrels of flour for 40 dollars; how much must he sell it at per barrel to gain 16 dollars? 29. A man bought 5 firkins of butter at 7 dollars a firkin; how much must he sell it per firkin to gain 10 dollars? 30. A man gave 35 cents for his breakfast, which was 5 eighths of what he gave for his dinner; what did he give for his dinner? 31. A ship's crew of 6 men have provision for 3 months; how many months would it last 1 man? 32. A ship's crew have provision sufficient to last 1 man 27 months; how long would it last 9 men? 33. A ship's crew have provision sufficient to last 3 men 10 months; how long would it last 5 men? 34. A man built 40 rods of wall in a certain time, another man can build 9 rods while the first builds 5; how much would he build in the same time? SECTION VII. If the combinations in this section should be found too difficult, they may be omitted until reviewing the book. A. 1. A MAN being asked the age of his eldest son, answered, that his youngest son was six years old, and that 2 thirds of the youngest son's age was just 1 fifth of the eldest son's age. Required the age of the eldest son. 2. 2 thirds of 6 is 1 fifth of what number? 3. A man, being asked how many sheep he had, said that he had them in two pastures; in one pasture he had eight; and that 3 fourths of these was just 1 third of what he had in the other. How many were there in the other? 4. 3 fourths of 8 is 1 third of what number? 5. Two boys talking of their ages, one said he was 9 years old. Well, said the other, 2 thirds of your age is exactly 3 fourths of my age; now, if you will tell me how old I am, I will give you as many apples as I am years old. What was his age? 6. 2 thirds of 9 is 3 fourths of what number? 7. Two boys counting their money, one said he had ten cents. The other says, 4 fifths of your money is exactly 2 sevenths of mine; now, if you will tell how many I have, I will give you 1 half of them. How many had he? 8. 4 fifths of 10 is 2 sevenths of what number? 9. 5 sixths of 12 is 2 thirds of what number? 10. 6 sevenths of 14 is 4 ninths of what number? 11. 6 fifths of 15 is 2 thirds of what number? 12. 7 ninths of 18 is 2 fifths of what number? 13. 4 fifths of 20 is 8 sevenths of what number? 14. 8 sevenths of 21 is 6 tenths of what number? 15. 5 sixths of 24 is 10 sevenths of how many times 5? 16. 3 sevenths of 28 is 2 eighths of how many times 7?, 17. 4 fifths of 30 is 6 sevenths of how many times 8? 5? 18. 6 eighths of 32 is 8 ninths of how many times 19. 4 ninths of 36 is 8 tenths of how many times 6? 20. 3 fourths of 40 is 5 sevenths of how many times 8 ? 21. 6 ninths of 45 is 3 fifths of how many times 7? 22. 5 sixths of 48 is 10 sevenths of how many times 3? 23. 4 sevenths of 63 is 6 fifths of how many times 8? 24. 5 ninths of 72 is 4 sevenths of how many times 9? B. 1. 4 fifths of 15 is 6 tenths of how many thirds of 21 ? 2. 4 thirds of 18 is 8 ninths of how many sevenths of 35? 3. 6 sevenths of 21 is 2 thirds of how many thirds of 24? 4. 5 fourths of 24 is 10 sevenths of how many ifths of 40. 5. 5 eighths of 32 is 2 fifths of how many fifths of 35? 6. 4 sevenths of 63 is 6 eighths of how many ninths of 45 ? 7. 3 sevenths of 56 fourths of 28? is 4 ninths of how many 8. 3 eighths of 64 is 6 tenths of how many sixths of 30. 9. 2 eighths of 72 is 3 tenths of how many fifte of 40? C. 1. Two times eleven are how many? 13. Three times thirteen are how 14. Three times fourteen are how ? ? many ? many ? 15. Three times fifteen are how many? 16. Three times sixteen are how many? 17. Three times seventeen are how many? 18. Three times eighteen are how many? 19. Three times nineteen are how many 20. Three times twenty are how many 21. Four times eleven are how many? 22. Four times twelve are how many? ? 23. Four times thirteen are how many? 24. Four times fourteen are how many? 25. Four times fifteen are how many ? 26. Four times sixteen are how many ? 27. Four times seventeen are how many 28. Four times eighteen are how many? |