SECTION NINTII. LESSON I. 1. BOUGHT 2 lb. of figs, at 20 cents per pound, and gave in payment a quarter of a dollar, a dime, and the rest in cents; how many cents did I give? 2. I have a rectangular field 20 rods long and 15 rods wide; what will it cost to build a wall around it, at $1.50 a rod? 3. I have a field containing 3 roods and 10 rods S what is it worth, at $2 per square rod? 4. What is the cost of a load of wood which measures 1 cord and 2 cord feet, at 75 cents per cord foot? 5. How many days from July 4th, at 9 o'clock in the morning, to Aug. 10th, at 9 o'clock in the evening? 6. What cost 3 score bushels of corn, at of a dollar a bushel? 7. If a ship sail 180 miles each day, how far does she sail in a week? 8. Bought a load of wood which measured 9 cord feet; of the load was pine, at $4 a cord, and the rest was oak, at 75 cents a cord foot; what was the cost of the load? 9. What cost 10 acres of land, at $20 per acre? 10. I have a square piece of land each side of which is 22 eet long; how many rods is it round this piece? 11. If it takes 16 yards of silk to make a dress, what will the silk for 2 dresses cost, at 14 dollars per yard? 12. I have a rectangular garden which is 12 rods long and 7 rods wide; how many square rods does it contain? 13. Mr. Smith has a rectangular garden, 6 rods wide, and containing 48 square rods; how long is it? 14. Mr. French has a rectangular garden 10 rods long and containing 70 square rods; how wide is it? 15. A man bought a share of the Boston and Maine Railroad stock for $100, and sold it for $103; what per cent. on the purchase money did he gain? 16. A grocer bought a box of sugar for $12, and sold it so as to gain 5 per cent.; how much did he gain? 17. A merchant bought a piece of silk for $75, and sold it so as to gain 10 per cent.; how much did he gain? What did he receive for the silk? · 18. A shoedealer bought boots at $4 a pair, and sold them at $5; what per cent. did he gain? He bought others at $5, and sold them at $4; what per cent. did he lose? 19. A grocer bought molasses at 40c. per gallon; how shall he sell it to gain 25 per cent.? 20. A merchant bought goods for $50, but, they being damaged, he is willing to lose 20 per cent. ; for what sum is he willing to sell them? 21.. A laborer agreed to work 5 months for 60 dollars; how much did he receive for a month? How much for a week, allowing 4 weeks to the month? How many shillings a day, allowing 6 working-days to the week? 22. If a melon is worth 8 oranges, how many melons are 44 oranges worth? 23. A man sold 24 hens a: the rate of 3 for a dollar; how many dollars did he receive? 24. If wine is worth 24 cents a pint, what is 1 gin worth? What are 3 gills worth? 25. At 80 cents a bushel, what is a peck of corn worth? What is a half peck worth? 26. Five boys bought a slcd for 90 cents, and sold it for 75 cents; sharing the loss equally, what did each boy lose by the bargains? 27. A man paid $35 for wood, at $7 a cord; how many cords did he buy? 28. A man paid $63 for 9 cords of wood; what was the price per cord? . 29. A hound is 36 rods behind a fox, and both are running in the same direction; but the hound gains upon the fox 3 rods in a minute; in how many minutes will the hound overtake the fox? 30. A fox is 48 rods from a hound, and running 80 rods per minute; but the hound is pursuing him at the rate of 83 rods per minute; how many minutes can the fox run before the hound overtakes him? 31. What will 9 quarts of milk cost, if 6 quarts cost 24 cents? 32. A cask containing 56 gallons, has a pipe which discharges 8 gallons per minute; in how many minutes will the cask be emptied? 33. There is an empty cask that will hold 84 gallons, and, by a pipe, 12 gallons run into it in a minute; in how many minutes will the cask be filled? 34. An empty cask, that will hold 48 gallons, receives 10 gallons per minute by one pipe, and discharges 6 gallons per minute by another pipe; how many gallons remain in the cask in one minute? In what time will the cask be filled? 35. A vessel which contains 63 gallons of water, discharges 12 gallons per minute by one pipe, and receives 9 gallons per minute by another pipe; in how many minutes will the vessel be emptied ? 36. If 1 man can do a piece of work in 42 days, in how many days can 7 men do it? In how many days can 12 men do it? 37. If 1 man can do a piece of work in 55 days, how many men can do the same in 5 days? 38. A man can do a piece of work in 66 hours; in how many days can he do it if he works 11 hours each day? 39. A man can do a certain job in 56 hours; how many hours a day must he work to do it in 7 days? 40. If you wish to put 72 pounds of butter into 6 boxes, how many pounds will you put into each box? 41. If you put 84 pounds of butter into boxes that will hold 7 pounds apiece, how many boxes will it take? 42. A farmer bought 9 yards of cloth, at $4 a yard, and paid for it with apples, at $3 a barrel; how many barrels did it take? 43. Two boys are 45 rods apart, and both running in the same direction; the hindmost boy gains on the other 5 rods in a minute; in how many minutes will he overtake him? 44. A grocer bought 5 firkins of butter for $50, and sold them so as to gain $10; what did he pay for each firkin? What did he gain on each? What did he receive for each? 45. How many yards of cloth, at $5 a yard, may be bought for 10 reams of paper, at $2 a ream ? LESSON II. 1. WHAT number added to twice itself gives 15? Solution. Any number plus twice the same number is 3 times that number; therefore, 15 is 3 times the required number, and of 15, viz., 5, is the number. 2. What number added to 3 times itself gives 32? 3. William and George together caught 35 fishes, and William caught 3 as often as George caught 2; how many did each boy catch? 4. Two times a certain number, added to 3 times the same number, make 35; what is the number? 5. A boy gave 35 nuts to two of his companions, giving 4 nuts to one of them as often as he gave 3 to the other; how many did he give to each? 6. What number added to of itself gives 15? 7. A boy being asked how old he was, replied, I am half as old as my sister, and the sum of our ages is 27 years; how old was he? 8. A father gave 64 cents to his two sons, giving } as many to the younger as to the older; how many cents did he give to each? 9. A boy divided 28 peaches among 3 of his com panions, giving twice as many to the first as to the second, and twice as many to the second as to the third; how many did he give to each? 10. A boy gave 42 peaches to 3 of his companions, giving half as many to the first as to the second, and half as many to the second as to the third; how many did he give to each? 11. A and B together have 45 marbles, and A has as many as B; how many has each? 12. A man being asked how many sheep he had, replied that if he had what he then had, and and as many more, he should have 55; how many had he? 13. A boy having 48 apples, kept 4 of them himself and gave the rest to Reuben, David, and Samuel, giving as many to David and as many to Samuel as to Reuben; how many did he give to Reuben? 14. A merchant bought a piece of cloth, at $6 a yard, and another piece of the same length, at $2 a yard, and afterward sold the whole, at $4 a yard; did he either gain or lose by the transactions? 15. A fruiterer employed two boys, Frank and Arthur, to sell apples for him. The dealer intrusted 60 apples to each boy, and told him he might sell them at the rate of 5 apples for 2 cents, and Frank sold his as instructed; but Arthur thought he might sell his more readily if he sorted them according to their quality; so he separated them, putting 30 apples into one part of his basket, and the other 30 into another part. He sold the better lot at the rate of 2 apples for 1 cent, and the poorer lot at the rate of 3 for 1 cent. Now, did the two boys receive equal sums for their entire stock of apples? If not, which was the more profitable to his employer? How much? |