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23. In dividing a number by 9, the quotient is 100 and the remainder 7. What is the number?

24. In dividing 1247 by a certain number, the quotient is 37 and the remainder 26. What is the divisor?

25. What is the dividend when divisor and quotient are both 48?

26. What is one of the 27 equal parts of 1161?

27. What is of 4872?

28. Six hundred eighty-four is made up of three factors. Two of the factors are 9 and 19. What is the third?

SHORT METHODS IN DIVISION

Oral

1. How many times is 50 cents contained in 1 dollar 2. 25 cents is contained how many times in 1 dollar In 50 cents? In 75 cents?

3. 12 cents is contained how many times in 1 dollar? In 50 cents? In 25 cents? In 75 cents?

4. 33 cents is contained how many times in 1 dollar? 5. How many times is 163 cents contained in 1 dollar? In 50 cents?

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1. I have $12. How many knives can I buy at 50% each? 33? 121 ? 25 ? 163 ?

2. How many handkerchiefs at 25 cents each can be bought for $2? $3.50? $0.75? $11? $6?

3. How many yards of crash at 12 cents a yard does a bill of $3 represent? A bill of $1.25? $5? $3.75? $2.50?

4. When eggs are 25 a dozen, a case costs $7.50. How many dozen in a case?

5. A shipment of paper costs $12. The rate is 12 cents a pound. What is the weight?

6. At 163 cents an hour, a boy working on a farm earned $7. How many hours did he work?

7. At 33 cents an hour, his father earned $15. How many hours did he work?

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16. How many tons of hay in a car of 38,000 pounds?

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1. At $15 a ton, a bill for hay was $405. How many

tons were bought?

2. Mr. Flagg sold 19 acres of land for $1482. How much did he receive an acre?

3. Twenty-eight bushels of oats were bought for $15.68. What was the rate per bushel?

4. At $0.35 each, how many books can be bought for $9.45?

.35)9.45

27

35)945

When the divisor contains cents, change both dividend and divisor to cents.

5. A fruit dealer paid $77 for oranges at $2.75 a box. How many boxes did he buy?

6. A florist purchased lily bulbs at $0.25 each. His bill was $12.75. How many did he buy?

7. How many sleds at $1.35 each does a bill of $64.80 represent?

8. A sale of shovels at 85 cents each yielded $44.20. How many were sold?

9. A hardware dealer's bill for saws was $104.40. If each saw cost 87 cents, how many were bought?

10. How many peach trees at $2.25 each can be bought for $29.25?

11. A man asked $1.75 a day for his work on a farm. He received $47.25. How many days did he work?

12. At $7.25 per cord, how many cords of wood can be bought for $195.75?

RATIO

1. What is the relation of 24 to 6?

2. What is the relation of 6 to 24?

24+ 6, or 4.

6+ 24, or 4. The relation of one number to another is their ratio.

Oral

Ratio is indicated by the sign : placed between the two numbers or quantities, and is equivalent to the sign +.

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12.
16. 10:15

3:4

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15. 12:20

19. 9 books: 63 books
21. 8 dollars: 72 dollars
23. 27 days: 30 days
25. 32 trees: 80 trees

18. 20:15

17. 15: 6
20. 56 days: 7 days

22. 40 bushels : 5 bushels
24. 24 pencils: 60 pencils

26. 27 cents: 45 cents (Since only things of the same

kind can be compared, change the week to days.)

27. 5 days to a week.

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36. James buys corncakes at the rate of 3 for 5 cents. How much does he pay for a box of 60?

37. Mrs. Arnold bought 12 quarts of berries for 75 cents. What would 4 quarts cost at the same rate?

38. If a farmer raises 7 tons of hay on 5 acres of land, what ought he to raise on 35 acres?

39. If 18 bushes produce $12 worth of roses, how many bushes will produce $72 worth?

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for rent of house at No... 24 Mason St.....

from______Mar. 1, 1910,.. ____to___ April 1, 1910..--

-Charles z. Young.--

Who paid money?

How much? For what? To

whom? When? What shows that money has been paid?

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Study the receipt until you can write a similar one.

Why should receipts always be preserved?

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