11. How many sheep can I buy for 75 dollars at the rate of 3 for 7 dollars, and have 12 dollars left?

12. A man, having 80 dollars, bought 9 cords of wood at 4 dollars a cord, 3 barrels of flour at 8 dollars a barrel, and the remainder he expended for cloth at 4 dollars a yard; how many yards of cloth did he-buy?

13. If 4 bushels of wheat are worth 12 bushels of corn, how many bushels of corn are equal in value to 10 bushels of wheat?

14. If 12 bushels of wheat make 3 barrels of flour, how many bushels of wheat will make 7 barrels ?

15. A cistern holding 140 gallons has a pipe by which 30 gallons will run into the cistern in one hour, and another that will discharge 20 gallons in an hour; when both are running, in what time will the cistern be filled?

16. If a quantity of provision serve 7 men 12 days, how long would it serve 4 men?

17. A merchant bought 15 bushels of clover seed for 75 dollars; he wishes to keep 3 bushels for his own use, and to sell the remainder so as to make 9 dollars on the first cost of the whole; how much must he ask a bushel ?

18. A man bought a span of horses for 80 dollars each; he spent 40 dollars in fitting them for market, and then sold them for 300 dollars; what was his gain on each horse?

19. A tailor bought 15 yards of one kind of cloth for 60 dollars, and 25 yards of another kind for 75 dollars; what was the difference in the price per yard?

20. A thief, having 36 miles the start of an officer, travels at the rate of 6 miles an hour; the officer pursues at the rate of 9 miles an hour; in how many hours will he overtake the thief?

21. Add 5 to 22, divide the sum by 9, multiply the quotient by 12, subtract 6 from the product, and add 10 to the remainder; what will be the result?

22. Divide 40 by 8, multiply the quotient by 9, to the product add 11, from the sum take 6, and what will remain ?

23. Multiply 20 by 4, subtract 40, add 10, divide by 5, multiply by 7, and what is the result?

24. From 36 subtract 6, divide the remainder by 5, multiply the quotient by 12, add 15 to the product, subtract 77 from the sum, divide the remainder by 10, and what will be the quotient?

25. Add 5 and 7 to 8, multiply the sum by 3, from the product subtract 5, divide the remainder by 11, multiply the quotient by 6, add 20 to the product, and what will be the sum?

26. Subtract 10 from 6 multiplied by 8, to the remainder add 4, divide the sum by 6, multiply the quotient by 11, subtract 7 from the product, divide the remainder by 10, add 30 to the quotient, and what will be the sum ?

27. Multiply 15 by 5, add 5, divide by 8, multiply by 6, subtract 10, divide by 5, add 2, multiply by 11, and what will be the product?

28. 1086x9-7×52010+8= how many?

29. 8 x 912 + 3 x 5 +10 ÷ 11 x 8+20124 x 7-3 how many?

30. 25-52 × 9 + 10 ÷ 20 x 12 + 15 — 5 7+8+2= how many?

31. 369 x 12+ 87 x 5+10-25 ÷ 5+ 4 x 9-11 10 x 6÷ 3 = how many?

NOTE. The above examples will afford a thorough and profitable mental drill to the pupil, and also familiarize the signs and terms used in the preceding pages, and which must be well understood in the commencement of the study of Written Arithmetic. The teacher can extend the number of examples at pleasure.

NOTE. Dollars and cents are separated by a period (.); thus, $2.10, is read 2 dollars 10 cents.

A Simple Number contains but one name or denomination; thus, 5, 84, 12 bushels, 65 dollars, are simple numbers. A Compound Number contains two or more names or denominations; thus, 5 dollars 25 cents, 16 bushels 3 pecks, 3 days 10 hours, are compound numbers.

Reduction is the process of changing numbers from one denomination to another, without altering their value; thus, changing pounds to ounces, ounces to pounds, dollars to cents, &c., is reduction.

1. How many mills in 2 cents? in 3 cents?
2. How many cents in 1 dime? in 3 dimes?
3. How many dimes in 3 dollars? in 4 dollars?
How many dollars in 2 eagles? in 5 eagles?
5. How many cents in 4 dimes and 7 cents?
6. How many dimes in 3 dollars and 6 dimes?

4.

7. If James earned 12 dollars, and his father 3 eagles, how many dollars did they both earn?

8. A man has 4 eagles, 4 five dollar bills, and 4 dimes; how many dollars and cents has he?

9. How many dimes are equal to 40 cents? to 70 cents?

10. What is the difference in the cost of 8 yards of cloth at 2 dimes a yard, and 6 yards at 30 cents a yard?

NOTE. A sovereign (sov.) is equal in value to one pound.

£.

1. How many farthings in 1 penny? in 3 pence? in 6 pence? in 9 pence?

2. How many pence in 1 shilling? in 4 shillings? in 5 shillings? in 9 shillings? in 10 shillings?

3. How many pence in 8 farthings? in 24 farthings? in 48 farthings?

4. How many shillings in 24 pence? in 84 pence? in 108 pence?

5. How many pounds in 40 shillings? in 120 shillings?

6. At 5 shillings a yard, how many pounds will 20 yards of carpeting cost?

7. At 7 shillings a pair, how many pairs of shoes can be bought for 2 sovereigns?

1. How many grains in 2 pennyweights? in 4? 2. How many pennyweights in 3 ounces? in 5? 3. How many pennyweights in 96 grains? in 124 grains?

4. In 120 pennyweights how many ounces? in 200 pennyweights?

5. What will a gold chain, weighing 15 pennyweights cost, at 8 dimes a pennyweight? how many dollars and cents?

1. How

oz.

Ib.

1 hundred weight, cwt.

1 ton.

T.

many drams in 3 ounces? in 4 ounces? in 6 ounces?

2.

How many ounces in 32 drams? in 48 drams? in 64 drams?

3.

How many ounces in 3 pounds? in 5 lbs. ? in 7 lbs. ?

4. How many ounces in 2 lbs. 6 oz.? in 4 lbs. 10 oz.?

5. In 3 cwt. and 5 lbs., how many pounds?

6. In 5 pounds, how many ounces?

7. How many pounds in 3 cwt.? in 6 cwt.? in 9 cwt.?

8. In 16 tons, how many cwt.? in 25 tons?

9. In 1 ton and 5 cwt., how many cwt.? how many pounds?

10. How many dollars will 3 cwt. of flour cost, if 25 pounds cost 5 dimes?

11. What will 1 ton and 5 cwt. of hay cost, if 5 cwt. cost 3 dollars?

12. What will 2 cwt. 10 lbs. of beef cost at 6 cents a pound?

13. If 8 ounces of tea cost 4 dimes, what will 2 pounds cost?

14. What will be the cost of 4 cwt. of sugar, at 7 cents a pound?

15. Which will cost the more, 5 cwt. of fish at 6 cents a pound, or 3 tons of hay at 50 cents a cwt.? 16. What will 1 ton of hay cost at 1 cent a pound?