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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 ÷.

Find the ratios:

3. 10:2

4. 15:3

7.

4:12

8.

7:42

11.

2:3

12.

3:4

15. 12:20

16.

10:15

19. 9 books: 63 books

21. 8 dollars: 72 dollars
23. 27 days 30 days
25. 32 trees: 80 trees

27. 5 days to a week.

5. 20:5

6. 32:8 9. 9:63 10. 8:48 13. 5:8 14. 6:9 17. 15: 6 18. 20:15 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.)

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

This paper is a receipt.

Study the receipt until you can write a similar one.

Why should receipts always be preserved?

Received from

for..

19

Dollars

100

1. This shows a blank receipt such as can be bought at any stationery store. Copy the form and fill in the blanks as you would in giving a receipt to one of your schoolmates who hires your cart for 50 cents.

2. Write a receipt for $150 received for the sale of a gray horse.

3. Suppose that you own and rent a house for $25 a month. Write a receipt for a month's rent.

4. You sold your bicycle for $12.50. Write the receipt. 5. Write a receipt for 3 months' work on a farm at $20 per month.

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When were the purchases made? By whom? From whom? Cost of each item? Amount of the bill? What shows that the bill has been paid?

Was payment made directly to the owners of the store or to one of their clerks?

When a bill contains the words "Received payment" followed by the signature of the seller or his agent, it is a receipt.

There are two parties in a sale the debtor and the creditor.

The debtor is the one who buys; he owes something. The creditor is the one who sells; he is one to whom something is owed.

Who is the debtor in the above bill? Creditor?

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Notice that when the articles are all bought at one time, the date of the bill is the date of purchase.

2. The equipment for the sewing class was: 4 dozen pairs of scissors at 20 cents each, 4 dozen measures at 2 cents apiece, 6 5-cent papers of needles, 6 papers of pins at 8 cents each, 100 spools of thread at 3 cents each, and 2 dollars' worth of cloth. Make out the bill. Buyer, the

city in which you live. Seller, yourself.

3. Alice made a dress, using these materials: 1 pattern @ 15 cents, 8 yards of gingham @ 15 cents, 1 spool of

thread @ 5 cents, 1 dozen buttons @ 10 cents, and 5 yards of lace @ 12 cents. Make out the bill.

4. The boys of a baseball nine bought 4 bats @ $0.50, 2 balls @ $0.75, a catcher's mask for $2.75, and 4 mitts @ $0.80. Make out the bill to the treasurer of the club. They shared the cost equally. How much did each pay?

5. Imagine that you are going on a journey and buy collars, shoes, and umbrella. Make out the bill.

6. Make out the bill for three things you buy for your mother from the grocer.

7. Make out Mr. C. K. Austin's milk bill for October, supposing that he takes 1 quart a day at 8 cents a quart, and during the month has 11⁄2 quarts of cream at 30 cents a quart.

8. Ten boys and girls are going on a picnic, and one of them is selected to buy things they need. Make out the bill for four things you think he will buy.

9. Make out other bills for goods purchased at different stores, using the prices given in the daily paper.

DICTATION EXERCISES

1. 12 × 9, +2, ÷ 11, x 4, -8, ÷ 8, × 9, +9, +5, +10.

2. 546, 3, × 5, ÷ 2, 2, ÷ 7, +12, × 3, -6, ÷ 7.

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x7, -6, ÷ 9, +11, x 3.

3. 726, -3, x6, +2, ÷7, +12, −5, ÷ 3, +8, × 2. 4. 16 x 4, +2, ÷3, +8, ÷ 5, 5. 80-5,÷15, +9, × 2, ÷ 4, +8, ÷ 5, × 7, + 6, ÷ 9. 6. 14412, +6, × 5, ÷9, +11, ÷3, +5, x9, -12, ÷8. 7. 84÷7, +8, × 4, − 5, ÷ 25, × 8, – 3, ÷ 7, + 16. 8. 568, x4, 2, 6, 9, +3, 5, 8, × 9, -7.

÷

÷

9. 7×7, +5, ÷6, ×3, + 8, ÷5, + 2, × 8, -6, ÷11.

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