CASE III.

To Divide when there are Ciphers at the Right of the

Divisor.

Ex. Divide 6783 by 600.

PROCESS. 600)67/83

11+183 rem.

Explanation.-600 is contained in 67 hundreds 11 times, with a remainder of 1 hundred. 600 is not contained in 83; hence, the entire remainder is 183.

NOTE. When the divisor with the ciphers cut off is greater than

12, divide by Long Division.

Find the value

To find the Equal Parts of a Number.

Ex. A man bought 15 cows for 495 dollars: how much

did 1 cost?

SOLUTION.

15)495 33

45

45 45

Explanation.-If 15 cows cost 495 dollars, 1 cow cost as many dollars as 15 is contained times in 495, or 33 dollars.

WRITTEN PROBLEMS.

1. If 16 hens lay 848 eggs in a summer, how many eggs will 1 hen lay at the same rate?

Ans. 53.

2. If 15 horses cost 1740 dollars, how much will 1 horse cost? Ans. 116 dollars.

3. If 23 tons of hay are sold for 552 dollars, how much is 1 ton worth? Ans. 24 dollars. 4. What can 1 man earn in a month if 24 men earn 1344 dollars? Ans. 56 dollars. 5. If 42 men lay 14700 bricks in a half day, how many can 1 man lay at the same rate?

Ans. 350.

Ans. 45 dollars.

6. A drover sells 64 cows for 2880 dollars: how much is that for each cow? 7. A drover sells 344 hogs for 4816 dollars: how much does he get apiece? Ans. 14 dollars.

8. If 43 ducks lay 5332 eggs in a season, how many eggs does 1 duck lay?

Ans. 124.

9. A farm of 118 A. was sold for 17110 dollars: how much was that per acre? Ans. 145 dollars. 10. A farmer raises 7656 bu. of potatoes on 29 A: how bushels does he raise on 1 A.?

many

Ans. 264.

COMBINATION PROBLEMS.

1. What is the value of 644 +584 -- 500, ÷ 104? Ans.7. 2. What is the value of 1182+4208-4030, +85?

Ans. 16.

3. What is the value of 74400+63300, +324?

Ans. 425.

Ans. 112.

4. From 6492 subtract 3468, and divide the remainder by 27. 5. A man bought 16 horses at 120 dollars each, and sold them all for 2000 dollars: what was the gain on 1 horse? Ans. 5 dollars.

6. A drover bought 25 cows for 1000 dollars, and sold them for 1200 dollars: how much did he gain on each cow ? Ans, 8 dollars.

7. A man earns 25 dollars a week, and spends 12 dollars a week; he saves 195 dollars: how many weeks does he work? Ans. 15.

8. If a farmer buy 16 horses at 110 dollars each, and gain 240 dollars on the lot, at what price each does he sell the horses? Ans. 125 dollars.

9. I traded 16 hens at 45 cts. each for ducks at 40 cts. each how many ducks did I get?

Ans. 18. 10. Sold 6 lb. of butter at 35 cts. a pound, and 4 chickens at 30 cts. apiece, and took in exchange muslin at 15 cts. a yard: how many yards did I get? Ans. 22.

11. A laborer worked 16 d. at 80 cts. a day, and took his pay in potatoes at 40 cts. a bushel: how many bushels of potatoes did he get?

Ans. 32. 12. I sell to a merchant 3 bu. of potatoes at 80 cts. a bushel, and 15 lb. of butter at 25 cts. a pound; he pays me cash 75 cts., and the rest in coffee at 30 cts. a pound: how many pounds of coffee do I get? Ans. 18.

13. A boy who wishes to buy some books worth 75 dollars, saves 7 dollars a week for 9 wk.: how much does he still need? Ans. 12 dollars.

14. If two men have 15 horses worth 90 dollars each and 10 cows worth 40 dollars each, what is the value of each one's share of the stock? Ans. 875 dollars.

15. A man earns 544 dollars in 16 wk., but spends 3 dollars a week of this amount: how much does he save each week? Ans. 31 dollars.

16. A farmer has 24 cows and 93 sheep, worth 1521 dollars if the sheep are worth 5 dollars each, how much is each cow worth? Ans. 44 dollars.

17. A drover bought 16 horses at 120 dollars each and 8 horses at 150 dollars each: what was the average price? Ans. 130 dollars.

18. If a carpenter charge 18 dollars a week for 9 wk. in building a barn and 420 dollars for his lumber, what does the barn cost? Ans. 582 dollars. 19. A farmer gave his farm of 160 acres for a store worth 12000 dollars: what was the land worth an acre? Ans. 75 dollars.

20. If a clerk has a salary of 2500 dollars a year, and spends 6 dollars a day for 365 days, how much has he left at the close of the year? Ans. 310 dollars.

CHAPTER II.

UNITED STATES MONEY.

SECTION I.

DEFINITIONS AND PRINCIPLES.

46. United States Money, sometimes called Federal Money, consists of dollars, cents and mills.

47. In business, dollars, cents and mills only are used. A quarter-dollar is 25 cents, a half-dollar is 50 cents. The dollar is denoted by the following sign, $, called the dollar-sign.

48. Dollars are separated from cents, in writing, by a

point, called a separatrix. Thus, 3 dollars and 25 cents is written $3.25; four dollars and 5 cents is written $4.05. Cents occupy the second place at the right of the point; the first place is occupied by dimes.

When there are no dimes or no cents the vacant places are filled with naughts.

49. United States money may be either paper money or coins. Coin is sometimes called specie; and paper money, paper currency.

ORAL EXERCISE.

1. How many cents in 3 dimes?

2. How many cents in 2 dollars?

3. How many cents in 3 dollars and 16 cents? 4. How many cents are equal to a five-dollar bill? 5. How many cents are equal to a dollar bill and 25

cents?

6. How many cents in a half-dollar and a quarterdollar?

7. How many cents in 1 dollar and a half?

8. How many dimes in 4 dollars?

9. How many cents are equal to 2 five-dollar bills? 10. How many dollars in 3 eagles?

1. One dollar and twelve cents.

2. Eight dollars and twenty-five cents.

3. Three hundred and fourteen dollars and forty-two

cents.