that a yard? What would 3 yards cost? What would 8 yards cost? 62. What is 3 fifths of 17? 69. If 5 loads of hay cost 47 dollars, what is that a load? What will 2 loads cost? What will 7 loads cost? What will 12 loads cost? 70. What is 2 fifths of 47 ? B. 1. If you divide 7 apples equally between 2 boys, how many would you give them apiece? 2. How can you divide 5 oranges equally among 3 persons? 3. Divide 3 bushels of corn equally among 5 men, how much would you give them apiece? 4. A boy had pears, and gave away 3 fifths of them; how many did he give away? and how many had he left? 5. If 2 yards of cloth cost 3 dollars, what is that a yard? 6. If 4 yards of cloth cost 2 dollars, what is that 9 yard? [Let the answers be given in dollars and cents or in shillings. 1 dollar is 100 cents.] 7. If 5 bushels of corn cost 7 dollars, what is that a bushel? 8. If a man receive 8 dollars for 6 days' work, what is that per day? 9. If 3 bushels of wheat cost 8 dollars, what will 2 bushels cost? 10. A man had 30 dollars, and gave away enths of it; how much did he give away ? 3 sev. 11. If 4 yards of cloth cost 10 dollars, what will 3 yards cost? 12. If 3 barrels of cider cost 8 dollars, what will 10 barrels cost? 13. If 7 pounds of flour cost 40 cents, what will 10 pounds cost? 14. If 4 firkins of butter cost 26 dollars, what will 7 firkins cost? 15. If 3 men can do a piece of work how long will it take 1 man to do it? would it take 4 men? in 7 days, How long 16. If 2 pipes will empty a cistern in 3 hours, in how long a time would 1 empty it? In how long a time would 7 pipes empty it? SECTION XI. A. 1. BOUGHT 1 half of a yard of cloth for 1 dolar and 1 half; what was that a yard ? 2. 1 and 1 half is the half of what number? * 3. If 1 third of a yard of cloth cost 1 dollar and 3 fourths of a dollar, how much does a yard cost? *See Sect VI. art. A., and Sect. IX. art. B. 4. 2 and 3 fourths is 1 third of what number? 5. If 1 half of a barrel of beer cost 2 dollars and 1 fourth of a dollar, how much will a barrel cost? 6. 2 and 3 fourths is one half of what number? 7. If 1 fourth of a box of lemons cost 3 dollars and 2 thirds of a dollar, what will a box cost? 8. 2 and 2 thirds is 1 fourth of what number? 9. 3 and 1 half is 1 fourth of what number? 10. If 1 third of a barrel of pork cost 4 dollars and 1 third of a dollar, what will a barrel cost? 11. 4 and 2 thirds is 1 third of what number? 12. If 1 sixth of a barrel of fish cost 2 dollars and 1 fifth of a dollar, what will a barrel cost? 13. 3 and 2 fifths is 1 sixth of what number? 14. If 1 fifth of a barrel of salmon cost 3 dollars and 2 sevenths of a dollar, what is that a barrel? 15. 4 and 3 sevenths is 1 fifth of what number? 16. If a man can travel 4 miles and 3 sevenths of a mile in 1 ninth of a day, how far will he travel in a whole day? 17. 5 and 3 sevenths is 1 ninth of what number? 18. 2 and 4 fifths is 1 seventh of what number? 19. 6 and 3 eighths is 1 eighth of what number? 20. 7 and 5 sixths is 1 third of what number? 21. 8 and 3 sevenths is 1 fourth of what number? 22. 5 and 3 tenths is 1 seventh of what number? 23. 8 and 5 ninths is 1 fifth of what number? 24. 9 and 4 fifths is 1 eighth of what number? 25. 6 and 4 tenths is 1 tenth of what number? 26. 7 and 4 ninths is 1 fifth of what number? 27. 8 and 7 tenths is 1 seventh of what number? B. 1. If 2 thirds of a barrel of beef cost 3 dol lars, what does 1 third of a barrel cost? 2. 3 is 2 times what number? See Section VI., article B. Ans. 3 is 2 times the half of 3; but 1 half of 3 is 3 halves, or 1 and 1 half, therefore 3 is 2 times 1 and 1 half. 3. If 3 fifths of a yard of cloth cost 4 dollars, what will 1 fifth of a yard cost? 4. 5 is 3 times what number? 5. If 3 sevenths of a barrel of pork cost 2 dollars, what will 1 seventh of a barrel cost? 6. 2 is 3 times what number? 7. If 4 thirds of a bunch of shingles cost 5 dollars, what does 1 third of a bunch cost? 8. 7 is 4 times what number? 9. 2 is 4 times what number? 10. A man bought 4 ninths of a barrel of flour for 3 dollars; what would be the price of 1 ninth of a barrel at the same rate? 11. 5 is 4 times what number? 12. A man bought 5 eighths of a hundred weight of sugar for 6 dollars; what would 1 eighth of a hundred weight cost at the same rate? 13. 7 is 5 times what number? 27. If 2 thirds of a barrel of beef cost 3 dollars, *Sec Section X., article A. what will 1 third of a barrel cost? What will the whole barrel cost? 28. *If 5 is 2 thirds of some number, what is 1 third of the same number? 2 and 1 half is 1 third of what number? Then 5 is two thirds of what number? 29. If 3 fourths of a barrel of flour cost 5 dollars, what will 1 fourth of a barrel cost? What will the whole barrel cost? 30. If 8 is 3 fourths of some number, what is 1 fourth of the same number? 2 and 2 thirds is 1 fourth of what number? Then 8 is 3 fourths of what number? 31. A man bought 2 sevenths of a barrel of oil for 5 dollars; how much will 1 seventh cost at the same rate? how much would a barrel cost? 32. If 9 is 2 sevenths of some number, what is 1 seventh of the same number? 4 and 1 half is 1 seventh of what number? Then 9 is 2 sevenths of what number? 33. Bought 5 eighths of a chaldron of coal for 7 dollars; what is the price of 1 eighth, at the same rate? What is the price of the whole chaldron? 34. If 12 is 5 eighths of some number, what is 1 eighth of the same number? 2 and 2 fifths is 1 eighth of what number? Then 12 is 5 eighths of what number? 35. If a man can do 7 ninths of a piece of work in 4 days, how long would it take him to do 1 ninth of it? how long would it take him to do the whole? 36. If 3 is 7 ninths of some number, what is 1 ninth of the same number? 3 sevenths is 1 ninth of what number? Then 3 is 7 ninths of what number? 37. If 3 fifths of a chaldron of coal cost 8 dollars, what is the whole chaldron worth? 38. 7 is 3 fifths of what number? 39. A man bought 6 sevenths of a cask of raising for 5 dollars; what was the whole cask worth? 40. 8 is 6 sevenths of what number? * See Sect. VI., Art. B., Examples 8 and following. |