Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

PROBLEMS FOR ANALYSIS

Pupils should be taught:

(1) To express themselves accurately and rapidly; (2) to do this work without the aid of pencil and paper; (3) to give clear analytic statements in the solution of a problem.

1. The coal for the school buildings in a certain town cost $94.50. How many tons were purchased at $3 per ton?

2. A shoe dealer buys shoes at $21 per dozen pairs and retails them at $2.50 a pair. How much does he gain on each pair?

3. A laborer earns $18 in 12 days. At that rate how much can he earn in 80 days?

4. What is of § of 24?

5. A lady buys 10 yards of ribbon and uses 6 yards. What part of the ribbon has she left?

6. If eggs are bought at the rate of 4 dozen for $1.08 and sold at 30 cents per dozen, what will be the gain on 3 dozen ?

7. A man buys a farm of 102 acres and divides it into lots of 6 to the acre. How many lots are there if of the farm is laid out in streets?

8. How many sheep, at $5 per head, may be purchased with the money from the sale of 10 head of cattle at $42 per head?

9. A contractor buys 8000 bricks at $12.50 per thousand. Find the amount of his bill.

10. If I pay 6 cents for the use of $1 for one year, how much should I pay for the use of $150 for 2 years?

11. If I buy goods at $1.37 per yard and sell them at $1.50 per yard, how much do I gain on 12 yards?

12. A boy earns 75 cents per day and pays & of his wages for board. At that rate how much can he'save in 26 days?

13. My father pays $252 per year rent. How much is that per month?

14. A lady purchased 2 handkerchiefs at 35 cents each; 6 yards of ribbon at 12 cents per yard; 6 yards of cloth at $1.12 per yard. How much change should she receive from a ten-dollar bill?

15. A man buys a farm for $2000 and pays of the cost, giving his note for the balance. For how much does he give his note ?

16. A farmer buys fertilizer at $28 per ton and retails it at $1.90 a hundred pounds. How much does he gain on 35 tons ?

17. At 16 cents per pound, how many pounds of steak does a woman get if the amount of the purchase is 83 cents?

18. A huckster bought 61⁄2 pounds of butter at 16 cents per pound, and 6 dozen eggs at 18 cents pér dozen. How much did he pay for both?

19. A huckster buys chickens at 8 cents per pound and sells them at 12 cents per pound. How many pounds must he purchase and sell in order to gain $25?

SOLUTION. -On each pound he gains 4 cents.

To gain $1 he must sell 24 pounds.

To gain $25 he must sell 25 times 24 pounds, or 600

pounds.

20. A street car conductor earns 23 cents per hour. How much does he earn in 10 hours?

21. If the conductor averages 10 hours per day, how much will he earn in 30 days?

22. If a box of 40 dozen oranges is purchased for $5 and retailed at 40 cents a dozen, what is the entire gain?

23. What fraction of a gallon is a pint? a gill? a quart? 24. A man sold of his farm for $1800. At the same rate, how much would he receive for the whole farm?

SOLUTION.

of the amount received for the farm = $1800.
of the amount received for the farm
$900.

of $1800, or

, or the amount received for the farm 3 times $900,

or $2700.

=

25. In a certain school there are 40 pupils in the grammar grade, which are of the number in the intermediate grade. How many pupils are there in both grades?

26. A man sold a piano for $360, which was of what it cost him. How much did it cost him?

27. There are 112 cubic feet in 4 of a cord of wood. many cubic feet are there in 1 cord?

28. A farmer sold of his farm for $1521.

what was the value of of the farm?

How

At that rate,

29. There are 198 cubic inches in of a gallon. many cubic inches are there in 2 gallons?

How

30. If of a ton of hay costs $16, how much will 21 tons cost?

31. A lady paid 84 cents for of a yard of silk. At the same rate, how much would she pay for yard?

32. If of an acre produces 160 bushels of potatoes, how many bushels will an acre produce?

33. A man saves $220, which is of his yearly salary. What is his yearly salary?

34. If it takes 4 men 9 days to do a piece of work, how long will it take 6 men, at the same rate, to do the work?

35. If of a farm is valued at $1240, what is the value of of the farm?

36. A lady spends of her income for board, and of the remainder for clothes and travel. If she saves $160 per year, what is her income?

37. A farmer has 600 bushels of wheat, which is of of what his neighbor has.

neighbor?

How many bushels has his

38. A house was sold for $1800, which was of its cost. What was the loss?

39. If 20 men can dig a ditch in 25 days, how long will it take 5 men?

40. A farmer sold 36 head of cattle, which was 6 more than of all he owned. of all he owned. How many had he remaining?

41. If a man works of a day and receives $1.50, how much should he receive for of a day?

42. I purchased an overcoat for $45, and found I had of my money left. How much had I at first?

43. James and John have together $40, and John has seven times as much money as James.

each have?

SOLUTION. Once James's money

How much does

[blocks in formation]

7 times James's money

=

John's money.

8 times James's money = amount of both, or $40.

Once James's money

7 times James's money

= $5.

[blocks in formation]

44. There are two numbers whose sum is 40; one number

is of the other.

What are the numbers?

HAM. SCH. ARITH. 5.

45. A man invests of his money in a mill, in a farm, and the remainder, which is $900, he deposits in a bank. How much is he worth?

46. A town has 3000 people. The number of pupils in the school is of the remaining population. How many pupils are there in the school?

47. In a farm of 500 acres the woodland is of the cleared land. How many acres are there of each?

48. A miller has 360 bushels of wheat. of the number of bushels of wheat equals of the number of bushels of corn. How much is the corn worth at 50 cents per bushel? 49. If of a clerk's salary for the year is $800, how much is g of his salary?

[blocks in formation]

55. A and B agree to do a piece of work for $80. If A works 7 days and B 9 days, how much should each receive?

SUGGESTION.-Together they work 16 da. Hence A should receive of $80, and B of $80.

56. Sarah earns $10 a week, and of what Sarah earns is of what Edna earns. How much does Edna earn?

57. of of 160 is § 1%

of what number?

58. If of of a farm costs $2500, how much does the farm cost?

« ΠροηγούμενηΣυνέχεια »