35. Which is better, and how much, to buy goods at 25% discount and 10% off for cash, or to buy goods at 10% discount and 25% off for cash?

36. A wholesale merchant offered dress goods, marked at 50 cents per yard, at a discount of 20%, and 5% off for cash. At what price per yard did he offer them?

37. A man purchased a horse, giving in payment his note at 6%. At the end of 3 years and 6 months he found that he owed $42 interest. How much did the horse cost him?

38. A man wished to invest enough money in government bonds paying 4% interest annually to secure an income of $800. How many one-thousand-dollar bonds must he purchase?

39. What principal will amount to $1300 in 6 years, with interest at 5 %?

40. What principal will amount to $850 in 10 years, with interest at 7%?

41. If I had paid 8% less for my house than I did, it would have made a difference of $400 in the cost. What did it cost me?

42. A and B each had farms containing 240 acres. A purchased a certain number of acres from B and he then had 320 acres. What per cent of A's farm was B's after

the purchase?

43. The retail price of some books was $1 per volume. If I bought them at a discount of 20% from the retail price, and sold them at the retail price, what per cent did I gain?

44. If goods are sold so that of the cost is received for half the quantity of goods, what is the gain per cent ?

45. I asked 20% more for goods than they cost me, but sold them at 10% less than I asked for them. What per cent did I gain?

46. A sells a horse to B, gaining 20%, and B sells it to C for $150, and gains 25%. What did the horse cost A?

47. If a banker sells a sight draft on New Orleans for $5000 for $5012.50, what is the rate of exchange?

48. A pole which is 10 feet long casts a shadow 4 feet long, and at the same time the shadow of a steeple is 30 feet long. How high is the steeple?

49. Six times a number equals 5 times of the same number, plus 33. What is the number?

50. A man, being asked how many sheep he had, replied, "If I had 3 times as many as I have and 5 sheep, I would have 185." How many had he?

51. What time after 2 o'clock are the hour and minute hands of a clock together?

52. A person, being asked the time of day, replied that it was past noon, and that of the time past noon was equal to of the time to midnight. What was the time?

53. A, B, and C ate 8 loaves of bread. A furnished 3 loaves and B 5 loaves. C paid the others 24 cents for his share. How much money should A and B each receive?

54. How far may a person ride in a stage, going at the rate of 8 miles an hour, if he is gone 11 hours, and walks back at the rate of 3 miles an hour?

55. A yacht, whose rate of sailing is 12 miles an hour, sails down a river whose current is 4 miles an hour. How it go, if it is to be gone 15 hours?

far may

56. A steamboat sailed 421⁄2 miles in 24 hours. How far did it sail in 20 minutes?

57. If 7 men can dig 32 rods of ditch in 1 day, how many men will be required to dig 96 rods in 2 of a day?

58. I have pasturage for either 12 horses or 18 cows on my farm. If I have 6 cows, how many horses can I keep?

59. If it costs $50 to support 8 persons for 21 weeks, what will it cost to support 10 persons for 3 weeks?

60. A is 25 years old and B is 4 years old. In how many years will A be four times as old as B?

61. John is 20 years old, which is of his uncle's age. How long since his uncle was twice as old as John?

62. Mr. A. is 35 years of age and his son is 10. How soon will the son be one half the age of the father?

63. Ten years ago C was as old as D, but now he is as old. What is the age of each?

64. A farmer bought a certain number of sheep for $100. Had he bought 10 more at $1 less each, they would have cost $140. How many did he buy?

65. A party of 8 hired a coach. If there had been 4 more the expense would have been reduced $1 for each person. How much was paid for the coach?

66. A and B agree to do a piece of work for $15. A can do the work alone in 8 days; B can do it alone in 12 days. What should each receive?

weeks.

67. C and D do a piece of work for $59. C can do the whole work in 2 weeks, and B can do it in 2 How should the money be divided between them?

68. A and B can do a piece of work in 10 days. A can do it alone in 15 days. They work together 4 days, after which B finishes the work. If they earn $30, how much should each receive?

69. A farmer being asked how many apple-trees he had, replied, "If I had 3 times as many and 5 trees more, I would have 1358." How many had he?

70. A man bought a number of pigs for $36. Nine of them having died, he sold & of the remainder for cost, and received $15. How many did he buy?

71. A fox is 60 leaps ahead of a hound, and takes 4 leaps while the hound takes 3; but 1 of the hound's equals 2 of the fox's leaps. How many leaps must the hound take to catch the fox?

72. A fox has 120 rods the start of a hound. If the hound runs 30 rods while the fox runs 26, how far will the hound run before he overtakes the fox?

73. A hare is 70 leaps before a hound, and takes 5 leaps while the hound takes 3; but three of the hound's leaps equal 7 of the hare's. How many leaps will the hound.

take to catch the hare?

74. A lady has two silver cups, and only one cover for both. The first cup weighs 16 ounces, and when it is covered it weighs 3 times as much as the second cup; but when the second cup is covered, it weighs 4 times as much as the first. What is the weight of the second cup and cover?

75. A man bought a horse, a cow, and a sheep for a certain sum. The horse and the sheep cost 5 times as much as the cow, and the sheep and the cow cost as much as the horse. What did each cost, if the cow cost $30?

76. I have two purses, one containing gold and the other silver coins. The money in both purses equals in value twice the value of the gold; and the value of the silver coins, increased by the value of the gold coins, equals $150. How much does each purse contain?

77. The head of a fish is 8 inches long. The tail is as long as the head and 1⁄2 of the body, and the body is as long as the head and tail. What is the length of the fish?

78. A tree is broken into three pieces. The part standing is 8 ft. long. The top piece is as long as the part standing and of the middle piece, and the middle piece is twice as long as the other pieces. How high was the tree?

WRITTEN EXERCISES.

469. 1. The minuend is 21,870, and the remainder 6492. What is the subtrahend?

2. The quotient is 3217, the divisor 63, and the remainder 29. What is the dividend?

3. Multiply 7.64 by .000302.

4. Divide .0085604 by 2.07.

5. Simplify (13+ 1⁄2 of

21
11 21

÷ 2,774.

6. If 1⁄2 of a yard of broadcloth costs $33, what will 5g yards cost?

7. A farmer sold 7 firkins of butter, each containing 56 pounds, for 24 cents per pound, and 16 dozen eggs for 18 cents a dozen. He received in payment 50 pounds of sugar at 5 cents per pound, 18 yards of cloth at $1.371⁄2 per yard, and the rest in money. How much money did he

receive?

8. Half of A's

$18 more than B.

money is equal to of B's, and A has How much has each ?

9. How many yards of silk, of a yard wide, will it take to line 41 yards of broadcloth 13 yards wide?

10. How much must be paid for 3580 lb. of coal, at $6.50 a ton?

11. A square lot, measuring on each side 36.5 yards, is inclosed by four lines of galvanized iron wire. Eight yards of this wire weigh a pound, and the wire cost 6 cents a pound. What did the wire fence cost?

12. A man bought of a section (a square mile) of land for $2500. He sold g of it at $14.50 an acre, and the rest at $15.75 an acre. How much did he gain?

13. Divide $7.75 among 5 boys and 4 girls, and give each boy as much as each girl.