5 If 8 men, in 12 days, receive $96, how much will 4 men receive for 6 days' work? A. $24.

6. If 8 men receive $96 for 12 days' work, how long may 4 men be hired for $24? A. 6 days.

7. If 9 persons in a family spend $1512 in 1 year (or 12 mo.), how much will 3 of the same persons spend in 4 months?

A. $168. 8. If $2000 will support a garrison of 150 men 3 months, how long will $6000 support 4 times as many men? (The ratios are 3 and; then, 3× × 3 mo. 2.) A. 24 mo.

9. If $100 gain $6 in 1 year, what will $900 gain in 8 months? A. $36. 10. If $100 gain $6 in 1 year, in what tine will $900 gain $36? 1.8 months."

11. If the transportation of 12 cwt. 3 qrs., for 400 miles, cost $57,12, what will the transportation of 10 tons, for 75 miles, amount to? A. $168.

12. An usurer put out $150 at interest, and when it had been on interest 8 months, he received for principal and interest, $160; at what rate per cent. per annum did he receive interest? By cancelling the ratios and, the third term will be the answer. A. 10 per cent.

Questions on the foregoing.

1. What will 2 yds. of cloth cost, at 50 cents (or $) a yard? What will 10 yds.? What will 100 yds.? What will 5 yds.? What will 9 yds.?

2. At 25 cents (or $1) a yard, what will 4 yds. cost? What will 12 yds.? What will 40 yds.? What will 300 yds.?

3. At $,33 (or $), what will 6 yds. cost? What will 9 yds.? Will 24 yds.? Will 300 yds.? Will 7 yds.? Will 25 yds.?

4. At $,163 (or $), what will 12 yds. cost? Will 13 yds. cost? Will 14 yds. cost? Will 25 yds. cost? Will 120 yds.? Will 300 yds.?

5. At $,123 (or $1) a yard, what will 16 yds. cost? Will 96 yds.? Will 97 yds.? Will 100 yds.?

6. At $,061 (or $), what will 33 yds. cost? Will 66 yds.?

7. What will 4 qts. of molasses cost, at 2 cents a gill? 8. How many shillings in 4£.? In 8£.? In 3£. 5 s.? 9. How many minutes in 8 hours? In 12 hours?

10. How many cents is Is $1? Is $? Is $? $1%? Is $? Is $?

$18?

11. How many pence in 3 s. 9 d.? In 8 s. 6 d.? 12. How many cents in 2 s.? In 3 s.? In 3 s. 9 d.? 13. How many cents will buy 3 slates, at 1 s. 9 d. each? 14. How many cents are 18 d.? Are 2 s.6 d.? Are 5 s. 3 d.? 15. What kind of a fraction is ? Is 14? Is of ? Is ? Is ?

16. What mixed number is equal to 16? 17?

17. How many 5ths in 83? In 4 ?

18. How many pounds in 10£.? In 80£.?

19. How many pounds and shillings in 10£.? (zo£. a

1 s.) In 8£.?

20. How many shillings in 3 d.? In 144 d.?

20

21. What fraction is equal to ? 11⁄2 ? 46 ? 22. What kind of a fraction is,5? Is 14,3? 23. What will be the cost of 3 books, at $,5 apiece? At $,25?

24. What decimal fraction is equal to ? ? ? 25. Bought,4 of a bushel of rye at one time; at another, 25; and at another, ,35; how much did I buy in all? 26. How much is 3 of a shilling? s.? († s. is of 12 d. 2 d.) shilling?

27. How much is of? Is of ? Is of } ? 28. How much is 3 times? 3 times ? 3 times ? 29. A man bought of a barrel of flour for 3 dollars; how much was it a barrel ?

37.

of 12 is

of what number?

38. If a man save of a dollar a day, how many dollars will he save in 16 days? How many in 17 days? In 25 days?

42. In 144 how many times 1?

43. William gave away 1 apple and, which was of all he had; how many had he? is 3 times as much as }; hence, if 1 is of a certain number, the number must be 3 times 11; thus 13=3; then 2×3=3=42, Ans.

44. 2 is of what number? (If 24 is 1, §, or the num bor, is 5 times as much; that is, 5 times 24) 114, Ans. 45. 13 is of what number?

46. 13 is of what number?

47. William gave $,25 for 2,4 yds. of ribbon; how much was it a yard?

48. Divide 3,5 by ,7. 49. Divide 3,5 by ,07.

50. Multiply 5 by ,7.

51. Multiply 50 by,07. 52. How much will bushel?

A. 5.

A. 50.

A. 3,5.

A. 3,5.

of a peck of salt cost, at $1 a

57. If you pay 6 cents a quart for ale, how much is that a gallon?

58. If a man earn $3 a week, how much is that for each working day in a week?

59. If a man travel 6 miles in 2 hours, how far will he travel in 16 hours?

60. What is the ratio of 2 to 6? Of 6 to 2? Of 9 to 6? Of 6 to 9? Of 10 to 100?

61. If 20 bushels of apples cost $10, what will 5 bushels cost?

62. What is the ratio of 20 to 5?

63. If 6 gallons of water fall into a cistern, containing 12 gallons, in I hour, and 3 gallons leak out in an hour, how long will it take the cistern to be filled?

64. If 4 men, in one day, consume 3 loaves of bread, how many loaves will 12 men consume in 4 days?

65. If 6 men, in 12 days, reap 18 acres of grain, how many acres will 12 men reap in 4 days?

66. What part of 1 month is 15 days? Is 1 day? Is 2 Says? Is 3 days? Is 5 days? Is 10 days? Is 20 days? 67. What is the interest of $20 for 4 months? For 10 months? For 3 months? For 1 year 4 months? 68. What is the amount of $40 for 2 mo. ? For 10 mo.? For 1 yr. 8 mno.?

For 5 mo.?

69. What is the interest of $60 for 15 days? For 10 days? For 1 day? For 5 days? For 2 mo. 15 days? For 4 mo. 10 days? For 1 yr. 8 mo. 15 days?

70. What must you pay a broker, who gives you $20 in Boston bills, in exchange for Providence bills, at per cent. commission? At per cent.? At 1 per cent.?

71. What is my demand for selling $600 worth of cotton, and guarantying the payment, at 5 per cent. commission? At 7 per cent. commission? At 4 per cent.?

due 1

yr. 8

72. What is the amount of $1 for 1 yr. 8 mo. ? 73. What is the amount of $200 for 1 yr. 8 mo. ? 74. What, then, is the present worth of $220, mo. hence? 75. What is the present worth of $530, due-1 yr. hence? What is the discount?

76. A merchant, having bought cloth for 50 cents a yard, wishes to mark it so as to gain 10 per cent.; what price must he put on it? (,50 × 110=$,55, Ans.) What_price must he put on it to gain 4 per cent.? 8 per cent.? per cent. ?

20

77. William bought a sled for $3, and sold it so as to gain 10 per cent.; what did he get for it?

Exercises for the Slate.

1. Bought 1 gallon of molasses for 62 cents, 1 quarter of flour for $1,12, 3 lbs. of tea for $1,05, 3 yards of flannel for 8,87), and 1 skein of silk for 64 cents; what was the amount of the whole? A. $3,733.

2. Bought 144 lbs. of raisins for $16; what was that a pound? A. $,111+

3. What is the cost of 3600 yards of flannel, at $,12) a yard ?450. At $,33?-1200. At $,20?-720. A. $2370.

4. In 20 lbs. of silver, how many spoons, each weighing 5 6

10 pwt.? A. 43 spoons, and 3 oz. 10 pwt. rem.

5. A bought 4 hogsheads of molasses for $84, sold 1 hogshet t for $25, and the remainder at the rate of 4 cents a pint; he much did he make on the whole? A. $1,48.

6. Bought a hogshead of sugar, weighing 12 cwt. 1 qr. 15 bs

and sold at one time 2 cwt. 2 qrs. 8 lbs., at another, 5 cwt. 15 lbs., and at ano...er, 1 cwt. 3 qrs.; how much remained unsold? 4. 2 cwt. 3 qrs. 20 lbs.

11. There are 4 pieces of cloth, one containing 8 yds., another 16 yds., another 124 yds., and another 73 yds.; how many yards in the 4 pieces? A. 44 yds. 3 qrs. 34 na.

12. What is the difference between 2 and †? A. t. Be tween and A. T. Between and ? A. 16.

13. Reduce of a guinea to the fraction of a pound. A. § 14. What is the value of ,003125£.? A. 3 qrs.

15. How much does ,025 make multiplied by,325 ?-8125. By To?-6. By 3170-7675. By 276?-69. By 2510000 -6250125. A. 7,6104875.

16. A farmer sent a load of hay to market, which, with the cart, weighed 29 cwt. 3 qrs. 16 lbs.; the weight of the cart was 103 cwt.; what did the hay come to, at $15 a ton?

A. $14,357+

17. A merchant bought sugar in a hogshead, both of which weighed 8 cwt. 15 lbs.: the hogshead alone weighed 1 cwt. 1 qr.; what was the cost of the sugar, at 114 cents a pound? A. $86,733. The two preceding questions are proper examples in a rule usually termed Tare and Trett.

18. Bought 50 yards of broadcloth for $160,50, but, not prov ing so good as I expected, I am willing to lose $42 on the sale of it; what must I demand per ell French? A. $3,555.

19. What is my demand for selling 600 bales of cotton, at $40 a bale, for 24 per cent. commission?-550125. For 4 per cent.?-110025. For 7 per cent. ?-171150. For 5 per cent. ?13141875. A. $4676,064.

20. What is the interest of $200,50 for 2 yrs. 6 mo. ?-30075. For 5 yrs. 3 mo. 15 days?-63658. For 6 mo. ?-6516. For 1 yr. 3 mo. 19 days?-15672. A. $115,921.

21. What is the difference between the compound and simple interest of $200 for 1 yr. 6 mo. ?-36. For 3 yrs. 4 mo. ?-2967 For 2 yrs. 6 mo. 15 days?-1523. A. $4,85.

22. What is the amount of $60 for 10 yrs. 3 mo. 19 days $709. For 8 yrs. 9 mo. 9 days ?-9159. A. $188,68.

23. Bought calico for 25 cents a yard; how must I mark it so as to gain 10 per cent. on each yard?-275. 12 per cent. ?-28. 15 per cent.?-287. 20 per cent. ?-30. A. $1,142.

24. What is the difference between the discount of $227,66, for 2 yrs. 3 mo. 20 days, and the interest of the same sum for the same time? A. $8,832.