5. If 147 cents be divided among 7 boys, how many cents does each receive?

6. If 5 pounds of coffee cost 45 cents, what will 8 pounds cost? 12? 15? 20 ?

7. What will be the cost of 16 dozen of eggs, if 9 dozen cost 90 cents? 54 cents? 72 cents?

8. If 24 apples are worth 8 oranges, how many apples are 18 oranges worth? 25 oranges?

9. If 8 barrels of flour cost $72, what will 4 barrels cost? 11 barrels ? 6 barrels ? 22 barrels ?

10. A boy earned 75 cents in 15 days; how much will he earn in 20 days? 25 days? 9 days?

11. A man travels 30 miles in 6 hours; how far will he travel in 14 hours? 16 hours? 32 hours?

12. How many melons can be bought for 75 cents, at the rate of 4 for 60 cents? 3 for 25 cents?

13. What must I pay for 12 pounds of beef, if 5 pounds cost 80 cents? For 8 pounds?

14. If 7 pounds of sugar cost 91 cents, what will 13 pounds cost? 10 pounds? 8 pounds?

15. How many hundredweight of hay can I buy for $65, if 15 hundredweight cost $75 ?

16. If 9 pigs are worth $63, what will 19 pigs cost? 17. If a man require 100 days to build 25 rods of fence, how long will it take him to build 17 rods?

18. If for 8 meals 8 soldiers have 64 pounds of meat equally divided among them, how many pounds will each receive for one meal?

19. If a steamship make 54 miles in 3 hours, how long will it take her to make 90 miles? 126 miles? 72 miles ?

20. If 8 benches are sufficient to accommodate 120 boys, how many benches will be required for 450 boys?

21. If 130 walnuts be equally divided among 13 boys, how many will 5 of them receive? 9? 11?

22. What will 13 sheep cost at the rate of 50 sheep for $150 ? 16 sheep? 35 sheep?

23. Paid $35 for 5 barrels of flour. At the same price, what will 25 barrels cost?

24. How many barrels of flour at $9 a barrel, are equal in value to 27 yards of cloth at $3 a yard ?

25. How many pears at 5 cents apiece, can I get for 85 apples worth 2 cents apiece?

26. If 6 men dig a ditch in 35 days, how many men will do it in 7 days? In 14 days? In 42 days?

27. If it take 15 yards of cloth to make 3 suits of clothes, how many yards will 9 suits require?

28. When peaches are sold for 50 cents a basket, how many baskets must be given in exchange for 5 cords of wood at $3 a cord?

29. If firkins of butter are worth $84, how many barrels of cider at $3 a barrel, will 4 firkins of butter buy? 30. How many quarts of milk at 5 cents a quart, will pay for 15 pounds of sugar at S cents a pound?

WRITTEN REVIEW.

1. In how many days will a ship sail 7950 miles, if it sail 150 miles a day? Ans. 53 days. 2. A man owing $8637, gives in payment 32 acres of land valued at $26 per acre, and $3500 in cash; how much remains unpaid? Ans. $4305.

3. I bought 14 barrels of pork at $12 a barrel, and sold it for $154; how much did I gain or lose per barrel? Ans. Lost $1 per barrel.

4. A lady paid $300 for a piano, $56 for a sofa, and $18 for an easy chair; how much less than three times $200 did all cost? Ans. $226.

5. How many gallons of molasses at 45 cents a gallon, will pay for 86490 pounds of butter at 25 cents a pound? Ans. 48050 gallons.

6. John and Peter started from home together and travelled in opposite directions. John travelled at the rate of 19 miles a day, and Peter at the rate of 27 miles a day; how far apart were they in 37 days?

Ans. 1702 miles. 7. A farmer sold 356 oxen at the rate of 6 for $192. What did he receive for them? Ans. $11392. 8. How much can a person earn in 3 years, if he earn $120 in 24 days? Ans. $5475.

9. An estate of $50607 was left to a family of 4 brothers and 9 sisters. The brothers having given up their share to the sisters, how much did each of the latter receive? Ans. $5623.

10. A hogshead containing 63 gallons of molasses was bought for 54 cents a gallon. 6 gallons leaked out, and the rest was sold at a gain of 8 cents per gallon. What was the selling price? Ans. $35.34.

11. A farmer wishes to exchange 200 bushels of oats at 36 cents a bushel, for flour at $8 a barrel. How many barrels will he receive? Ans. 9 barrels.

12. If 34 persons consume 167 pounds of flour every day, how long will 13694 pounds last them?

Ans. 82 days.

Ans. 5300.

13. What number subtracted 18 times from 97632, will leave 2232 as a remainder? 14. A gentleman whose salary is $1800, saves $340 every year. What are his daily expenses?

Ans. $4.

15. The sum of two numbers is 564, and their difference is 126; what is their product? Ans. 75555. 16. What number must be multiplied by 102 to produce 110670? Ans. 1085. 17. From what number can 251 be subtracted 405 times and leave a remainder of 73 ? Ans. 101728.

18. How long would it take a railway train to go from New York to San Francisco, 3300 miles, at the rate of 20 miles an hour? Ans. 165 hours.

19. What will 5 gross of eggs cost at 29 cents a dozen (12 dozen 1 gross)? Ans. $17.40. 20. How many horses worth $124 apiece can be bought for 32 oxen at $74 each, 45 cows at $57 each, 235 sheep at $4 each, and $4543 cash? Ans. 84 horses.

21. A's income is 6 times B's; B's income is 4 times C's; and C's income is $2425.

come?

What is their entire in

Ans. $70325.

22. A man travels due north for 9 days at the rate of 49 miles a day. He then returns on his path at the rate of 36 miles a day; how far is he from the starting point at the end of 12 days? Ans. 9 miles.

23. How many yards of muslin at 15 cents a yard must be given in exchange for 75 bushels of oats at 47 cents a bushel ? Ans. 235 yards.

24. At the rate of 37 miles a day, how long will it take a man to walk from Chicago to San Francisco, a distance of 2442 miles ? Ans. 66 days. 25. A man having $7603, paid out all but $1735 in 9 What was the average amount paid out each Ans. $652.

weeks.

week? 26. Sold for $6817, a quantity of wood that cost $4812, thereby gaining $5 a cord. What was the cost per cord?

Ans. $12.

PROPERTIES OF NUMBERS.

68. The Properties of Numbers are those qualities or elements which necessarily belong to numbers.

69. An Even Number is a number that is exactly divisible by 2.

All numbers whose unit figure is 0, 2, 4, 6, or 8, are even.

70. An Odd Number is a number that is not exactly divisible by 2.

All numbers whose unit figure is 1, 3, 5, 7, or 9, are odd.

71. A Prime Number is a number that has no integral factors except unity and itself; as 2, 3, 7, 13, 23, 31.

72. A Composite Number is a number that has other integral factors besides unity and itself. Thus, 24 is a composite number; because 248 × 3, 6 × 4, or 12 × 2.

73. The Factors of a composite number are the numbers which, when multiplied together, will produce it; as, 3 and 5 are the factors of 15.

FACTORING.

74. Factoring is the operation of separating a number into its integral factors.