28. If 9 men can dig a ditch in 7 days, how long will it take 12 men to dig it? 29. A man bought 12 bushels of wheat, at 2 dollars a bushel, and 4 yards of cloth, at 3 dollars a yard, and paid for them in work, at 9 dollars a week; how many weeks did he work? 30. A can travel at the rate of 5 miles an hour, and B 7 miles; they set out from the same point, and in the same direction, but B starts after A has traveled 30 miles; how long will it take B to overtake A? 31. Divide each of the following numbers by 7: 21, 37, 24, 66, 32, 140, 80, 57, 19, 72, and 86. 32. What cost one barrel of flour if 9 barrels cost each of the following sums: 27 dollars, 36 dollars, 63 dollars, 108 dollars, 126 dollars, 99 dollars? 33. If 20 yards of cloth cost 60 dollars, what cost each of the following quantities: 11 yards, 21 yards, 14 yards, 10 yards, 7 yards, 17 yards, 24 yards? 34. If 25 oranges cost 100 cents, what cost each of the following numbers: 40 oranges, 60 oranges, 64 oranges, 84 oranges, 88 oranges? 35. If 10 men can do a piece of work in 6 days, in what time will 15 men do it? 36. A and B start together and travel in the same direction, A traveling 21 miles a day and B 27 miles; when they shall be 72 miles apart, how many days will they have traveled? 37. What is multiplication? What is the product? 38. What is division? What is the quotient? 38. 1. Into how many halves can an apple be divided? 2. What is meant by half of an apple? 3. In how many halves of an apple can 2 apples be divided? 4. How many halves of 1 are there in 2? In 3? In 4? 5. How many whole ones in 2 halves? In 4 halves? In 6 halves? In 8 halves? 6. How many halves of one orange are there in one orange and a half? In two and a half? In three and a half? 7. Into how many thirds can an orange be divided? 8. What is meant by a third of anything? By two thirds of anything? 9. How many thirds of 1 are there in 2? In 3? In 6? In 9? In 10? 10. How many thirds of 1 are there in 2 and 1 third? In 4 and 2 thirds? In 11 and 1 third? 11. Into how many fourths can a cake be divided? 12. What is meant by one fourth of a cake? By two fourths? By three fourths? 13. How many fourths of 1 are there in 2? In 5? In 7 ? 14. How many fourths are there in 1 and 1 fourth? In 2 and 3 fourths? 15. What is meant by a fifth of anything? By a sixth of anything? By a seventh of anything? 16. How many ones in 2 halves? In 3 halves? In 16 halves? 17. How many ones in 3 thirds? In 4 thirds? In 12 thirds? 18. How many ones in 4 fourths? In 16 fourths? In 20 fourths? In 25 fourths? 19. How many ones in 5 fifths? In 11 fifths? In 27 fifths? 20. How many ones in 6 sixths? In 13 sixths? In 43 sixths? DEFINITIONS. 39. What is a fraction? A Fraction is a part of a unit, consisting of one or more of the equal parts, which compose the unit. 40. What is the denominator of a fraction? The |