at $1,12 a bushel-16875; what is the balance between the articles bought and sold? A. $13,85.

16. What will be the price of 4 bales of goods, each bale containing 60 pieces, and each piece 49 yards, at 37 cents a yard? A. $4410.

17. How many oranges, at 2 cents apiece, can be bought for 4 cents? For $2, or 200 cents? A. 102. For $8600? For $10000? A. 930000.

18. How many yards of cloth, at $2 a yard, may be bought for 4 barrels of cider, at $3 a barrel? For 8 barrels? A. 18. For 28 barrels ? For 50 barrels? A. 117.

19. How many gallons of molasses, at 23 cents a gallon, may be had for 60 bushels of oats, at 46 cents a bushel? At 69 cents a bushel? A. 300 gallons.

$17,00

3,48

$20,48

June 5. To 8 barrels Cider, at $2,12 a barrel, "8. To 6 bushels Corn, 66 ,58 a bushel,

July 16, 1828. Received payment,

Rufus Paywell.

In the Key, such examples as the two following have the several prices carried out, which renders the inspection of any erroneous process exceedingly easy.

1. At 2 cents a gill, what will 1 pint of molasses cost? What will 2 pints? 4 pints? 5 pints? 6 pints? 8 pints? 10 pints? 12 pints? 20 pints? 50 pints? 100 pints?

2. At 24 cts. a gallon, what will 1 qt. of ale cost? What will 2 qts.? a gallon? How much will 48 cents buy? Will 60 cts.? Will 72 cts.? Will 120 cts.? Will 150 cts.? Will 180 cts.?

3. When rum is a dollar a gallon, what is a barrel worth?

*Hogsheads containing liquors, molasses, &c. are of various capacities, generally exceeding 100 gallons.

What is a hogshead worth? What, is of a hogshead worth? (A hogshead is divided into 63 parts, or gallons; therefore 1 gallon is.) What is ? ? ?

4. At a dollar a gallon, how many quarts will 50 cents buy? Will $2? Will $2,25? Will $3? Will $3,50? Will $4? Will $6? Will $10? Will $20? Will $30? 5. At $100 a hogshead, what will 2 pipes of wine cost? What will 3 pipes? 4 pipes? 6 pipes? 1 tun? 3 tuns: 4 tuns?

6. How many gills in 4 pints? In 2 quarts? In 3 qts.: In 4 qts.? In 6 qts.? In 12 qts.? In 20 qts.?

Q. From what you have now been doing, for what purposes woule you infer that this measure is used?

A. To measure wine, spirits, vinegar, oil, cider, honey, mead, &c.

Q. What are the denominations of this measure?

A. Gills, pints, quarts, gallons, barrels, tierces hogsheads, pipes, and tuns.

Note. The wine gallon contains 231 solid inches, and is in the same proportion to the ale gallon of 282 solid inches, as the pound Troy is to the pound avoirdupois.

Exercises for the Slate.

1. In 4 pints how many gills? In 20 pints how many gills? A. 96 gills.

2. How many pints in 16 gills? In 80 gills? A. 24 pints. 3. How many pints in 2 quarts? In 480 quarts? A. 964 pints.

4. How many quarts in 4 pints? In 960 pts.? A. 482 qts. 5. In 2 hogsheads how many gallons? În 4137 hhds. ? A. 260757 gallons.

1. How many pints in 2 quarts? In 6 qts.? In 10 qts.?

In 20 qts.? In 200 qts.? In 600 qts.?

2. How many quarts in 8 pints? In 10 pints? In 12 bints? In 20 pints ?

3. What will 1 gallon of beer cost, at 2 cents a quart? What will 2 gallons? What will 4 gallons? Will 5 gallons?

Q. From these examples, what would you infer is the use of this measure?

A. To measure ale, beer, and milk.

Q. What are the denominations of this measure?

A. Pints, quarts, gallons, barrels, and hogsheads.

Note.-A gallon, beer measure, contains 282 cubic inches.

Exercises for the Slate.

6. How many pints in 2 quarts? In 3600 qts.? A. 7204 pints.

7. How many quarts in 4 pints? In 7200 pts.? A. 3602 quarts.

8. How many gallons in 2 barrels? In 620 bar.? A. 22392 gallens.

1. How many nails in 2 qrs.? In 4 qrs.? In 11? In 12? In 15?

sign yd.

sign E. Fi

.

sign E. E.

sign E. Fr.

In 8? In 10?

a yard? In 1

2. How many quarters in 1 yard? In yds.? In 2 yds.? In 5 yds.? In 7 yds.? In 9 yds.? In 12 yds.? In 20 yds.? In 30 yds.?

3. At 2 cents a quarter, what will 1 yard of cloth cost? d a yd.? 1 yd.? 2 yds. ? 5 yds. ? 7 yds. ? 9 yds. 12 yds.? 100 yds.?

4. How many quarters in 2 ells Flemish? 3? 5? 7? 9? 11? 12? 15? 20?

5. How many quarters in 3 ells English? 5? 6? 8? 10? 11? 20?

6. How many quarters in 5 ells French? 7? 9? 11? 12? 15? 20?

7. If of a yard of cloth cost 10 ets., what cost?? ?? 1? 18? 14? 1? 18? 2? 3?

? 8?

?

10? 8. If of a yard of tape cost 5 cents, what will 1 yd. cost? What will 2 ells Flemish? 3 ells English? 4 ells French?

Q. From what you have now been doing, for what purposes would you infer that this measure is used?

A. To measure all kinds of cloth.

Q. What are the denominations of this measure?

A. Inches, nails, quarters, yards, and ells.

Exercises for the Slate.

9. How many quarters in 2 yards? In 26872 yds?

A. 107496 qrs

10. How many yards in 8 quarters? In 107488 qrs.?

A. 26874 yds.

11. How many nails in 3 quarters?

In 42000 qrs.?

A. 168012 na.

12. How many quarters in 12 nails? In 168000 na.?

.4. 42003 qrs.

How many bushels make a chaldron? A. 36. 1. How many pints in 4 qts.? In 6? 7? 9? 10? 50? 100? 200?

2. How many quarts in 2 pecks? In 3? 4? 5? 6? 7? 8? 10? 12?

3. If you give 5 cents for 1 quart of flax-seed, what will 2 pecks cost? 3 pecks? What will of a peck? ? ? ? ? ? ? ? How much will 10 cents buy? 15 cts.? 20 cts.? 25 cts.? 30 cts.? 40 cts.?

8

4. How many pecks in 3 bushels? In 4? In 6? In 10?