434. If an army of 5,000 men have provisions for 15 days, at the rate of 20 oz. a day to each man, and they be reinforced with 3,000 men, upon what daily allowance must each man be put that the same provision may last 20 days? 435. How many pipes of Madeira are equal to 22 pipes of Sherry?

436. A cubic foot of distilled water weighs 1,000 ounces avoirdupois; what is the weight of a wine gallon?

71 (437. Subtract bu. + of of 31 qt. from 5 bu. 81

331 qt.

438. What is the difference between 7 of 5 sq. mi. 250 A. 3 R., and 31 times 456 A. 3 R. 14 P. 25 sq. yd.?

439. How many pounds of silver, Troy weight, are equivalent in value to 5.6 lb. of gold by the English government standard?

440. A floor whose length is 48 ft. 6' has an àrea of 1,176 ft. 1' 6"; what is its width?

X

441. A merchant in selling groceries sells 14% oz. for a

pound; how much does he cheat a customer who buys of him to the amount of $38.40 ?

442. B and C have each a farm; B's farm is worth $32.50 an acre, and C's $28.75; but in trading B values his at $40 What value should C put upon his?

an acre.

443. How many planks 10 ft. long and 14 in. thick, are equivalent to 3,000 planks 12 ft. 8 in. long and 2 in. thick?

444. Gunpowder, made according to the Government receipt, is a compound of nitre, and equal parts of sulphur and charcoal. How much of each in 1 ton of

powder?

445. If it cost $95.60 to carpet a room 24 ft. how much will it cost to carpet a room 38 ft. with the same material?

26

by 18 ft.,

by 22 ft.

446. If 16 cords of wood last as long as 11 tons of coal, how many cords of wood will last as long as 15,7 tons of coal?

13

447. Three horses start from the same point, and at the same time, upon a race-course 300 rods in circuit; the first horse passing over the circuit, the second, the third, in a minute. In how many minutes will they all be together again, and how far will each have traveled?

448. How many cubic quarter inches in a slab of marble 2 yd. long, 1 ft. 6 in. wide, 3 in. thick? (End)

449. If the longitude of Boston is 70° 4' West, what will be the time in that place when it is 3 h. 35 min. A.M. in London?

450. Albert Tucker, owning 80 acres of land, cultivated 1 acres potatoes, 33 corn, 2 rye, 13 oats, carrots, turnips, from which he harvested 160 bushels potatoes, 483 corn, 28 rye, 56 oats, 650 carrots, and 720 turnips per acre, respectively. He cut 1 tons hay on each of 123 acres, and upon the remainder he pastured 30 sheep, 5 cows, 2 horses, and 8 steers, for 24 weeks. He sold his potatoes, corn, rye, oats, carrots, and turnips, at $.75, $1.125, $1.25, $.40, $.25, and $.15 per bushel, respectively; he sold his hay at $16 per ton, and received 3, 20, 45, and 15 cents each week, respectively, for pasturing the sheep, cows, horses, and steers. What were the net profits of the farm, supposing he paid $25 taxes, and $30, $28, $16, $16, $40, $32, and $5 per acre, respectively, for cultivating and harvesting the potatoes, corn, rye, oats, carrots, turnips, and hay?

CHAPTER V.

THE examples of this chapter will include, in combination with the subjects of the preceding chapters, the subject of Percentage, in all its varied and practical applications.

MENTAL EXERCISES.

1. How many hundredths of a number is 3 per cent. of it? 12 per cent.? 15 per cent.? 25 per cent.?

2. How many hundredths of a number is 51 per cent. of it? 61 per cent.? 83 per cent.? of 1 per cent. ? of 1 per cent.?

3. What per cent. of a number is .07 of it? .08? .15? .125? .33 .004?

100

4. What per cent. of a number is 75% of it? 105? 118? 5. What per cent. of a number is 1.25 of it? 1.33!? 1.455 ?

6. How many hundredths of a number is 55 per cent. of it? 94 per cent.? 115 per cent.? 175 per cent.? 220 per cent.?

7. What fractional part of a number is 5% of it? 10%? 121%? 20%? 331%? 50%? 75%?

8. What decimal part of a number is 1% of it? %? 3% ? 1%? %? 70%? %%?

9. What is 5% of $40? 6% of 50? 8% of $120?

10. What is 10% of 120 miles? 121% of 160 gal.? 25% of $300?

11. What is 8% of 36 yards? 331% of 150 bu.? 50% of 175 lb.?

12. What is 21% of 80 yd. of cloth? 41% of 96 gal. of wine?

13. What is 4% of 140 bbl. flour? 13% of $400?

14. What is 1% of 1,600 men? of 1% of 90 trees? of of 1% of 250 miles?

15. If I have $600 in bank and draw out 163%, how much remains?

16. If a man spend $15 a month for tobacco, in what time will he spend $161 at the same rate?

17. Bought of 63 cords of wood for 1 of $52; what did 1 cord cost?

18. A grocer bought 10 baskets of eggs, containing 20 dozens each, but found, on unpacking them, 8% broken; how many dozens remained?

19. If a man spend of his salary, what per cent. of it does he save?

20. A man having 160 sheep, sold all but 20% of them; what part did he sell, and what per cent. did he save?

21. What is 25% of ? 12 of 8? 6% of 21? 41% of 63 ? 22. What per cent. of 36 is 9? 12? 18? 24? 27? 23. What per cent. of $60 is $3? $5? $10? $12? $15? $20? $30? $40? $45?

24. What per cent. of 48 miles is 6 miles? 8 miles? 12 miles?

25. From a hogshead of wine 42 gallons were drawn ; what per cent. of the whole remained?

26. A quantity of produce was sold for $80, at a sacrifice of of the cost; what was the loss on it?

27. 1 is what per cent. of 12? of 15? of 21?

28. 3 is what per cent. of 93? of 13? 16? 26?

29. is what per cent. of 13? 31? 43 ? 7?

30. What part of 4 acres is of 3

183

acres?

31. If to the cost of A's coat you add $15, the sum will be $51; what was the cost of the coat?

32. A man pays $6 an acre for the use of land valued at $75 an acre; what % of the value of the land does. he pay?

33. 2 bu. 1 pk. is what % of 11 bu. 1 pk?

34. 15 gal. 3 qt. is what % of 2 bbl.?

35. of an hour is what % of of a day?

36. A boy having 62 cents, gave 37 cents for a ball; what % of his money had he left ?

· 37. Two men bought 36 bushels of apples; one paid $7, the other $5; how many bushels should each have?

38. A farmer having 200 barrels of potatoes, sold of them to one man and of the remainder to another; what % remained unsold?

39. $40 is 8% of what sum of money?

40. 25 is 12% of what number? 20% of what number? 41. 8.4 pounds are 7% of how many pounds?

42. I loaned a man a sum of money; at one time he paid me $80, which was 16% of the whole sum I loaned him; how much did I loan him?

43. If a barrel of flour cost $5ğ, what will of a barrel cost?

44. A man owning 30% of a mill sold 331% of his share for $1,500; what was the value of the mill?