7. Bought 17yd. 2qr. of Canton crape: 2yd. 3qr. Ina. being damaged, how much was good? Ans. 14yd. 2qr. 3na. 8. From 75yd. 3qr. 1na. take 1na.

L. M. fur, po. yd. ft. in. b.c..

(1) 6 2 5 0 0 2 4 1

Ans. 75yd. 3qr.

LONG MEASURE.

Deg. M. fur. po. (2) 20 50 4 20

4 20 0 1

2

11 56 0 30

3. A man going a journey travels the first day 43M. 5fur. 20per.; on the second, 32M. 4fur.; how much more did he travel the first day than the second? Ans. 11M. 1fur.20p.

3. If I purchase 2hhd. of wine, and to oblige a friend send him 29gal., what quantity have I left? Ans.1hhd. 34g. 4. Bought 1 pipe of wine, 4hhd. of brandy, 2 barrels of beer; I have since sold 93 gallons of wine, 29 of brandy, 1 barrel of beer: how much of each have I remaining? Ans. 33gal. of wine, 223gal. brandy, and 311gal. beer.

Ans. 481bu. 3pe. 7qt.

4. If from 490bu. Ope. 1qt. 1pt., 8bu. Ope. 2qt. 1pt. be taken, what number will remain? 5. Subtract 146bu. 3pe. 2qt. 1pt. from 600bu. 2pe. 7qt.

1pt.

Y. M. w. d. ho. min. sec.

TIME.

Ans. 453bu. 3pe. 5qt.

1

0 2 6 2 57 36

7 36 44

9 10 3

5 0 0 2 0 42 44

4. From 900 Y. take 111 Y. 6m. 2w. and 6da.

Ans. 788Y. 6m. 1w. 1da.

5. If I take 1Y. 1M. 1w. 1da. 1ho. from 6 Y. what space of time will still remain? Ans. 4Y. 11M. 2w. 5d. 23h.

The intervening time between two given Calendar dates, may be readily found by the following

Rule.

1. Set down the subsequent or greater date, in the order of years, months, days; and under it, the prior or less

date, in the same order, numbering the months according to their place in the Calendar.

2. Begin with the days; and when the lower number of days is greater than the upper, subtract it from the number of days contained in the month mentioned in the lower or prior date, and add the difference to the number of days contained in the upper or greater date, which sum set down, and carry one to the months of the lower date.

3. Then if the months of the lower or less date be greater than the months of the upper or greater date, subtract the number of months contained in the lower or less date from the number of months in a year, and add the difference to the number of months in the upper or greater date, and carry one to the years of the lower or less date. Questions.

How do you set down two given Calendar dates, in order to find the difference between them?

After having set down the two given dates, where do you begin to subtract? and how do you proceed when the number of days in the less date is greater than the number of days in the greater date?

Examples.

1. John was born on the 26th day of January, 1824, and James on the 23d day of September, 1827: what is the difference of their ages?

2. William was born on the 11th day of August, 1813, and Joseph on the 5th day of July, 1827: how much older is William than Joseph?

Yrs. mo. d.

1827 7 5

1813 8 11

13 10 25

3. A man gave his note on the 13th day of November, 1820, and paid it on the 11th day of January, 1828 for what period of time is the interest to be computed?

4. Take 9sig. 7 20", from 11sig. 2° 5' and 14".

Application.

Ans. 2sig. 1o 5′ 54′′.

1. Sold 6ft. of gold chain at $2,75 per foot; a gold ring for $4,50; a pair of ear-rings for $12,00; owing to some defect, the ring has been returned: I desire to know the whole amount, and how much I must receive?

Ans. Whole amount $33,00, receive $28,50. 2. Bought 2 doz. pair of stockings at 75cts. per pair; 16 yards of linen at 87 cts. per yard; 28 yards domestic muslin at 22cts. per yard; and 5 pair of gloves at 311cts. per pair; and I deliver to the merchant a fifty-dollar note, from which to take the amount: what change must be returned to me? Ans. $10,273.

3. I have several tracts of land; one of them contains 690.A. 2R. 16P.; another 400.A.; and two others each 63.A. 3R. 24P.: if I now sell 200.A. what number of acres have I left? Ans. 1018A. 1R. 24P.

4. Sent my clerk to collect money: from one person he collected £55 6s. 7d.; from another, £41 4s. 6d.; from another, £75; returning home, he lost £40 6s.: how much did he collect, and what sum have I now?

Ans. Collected £171 11s. 1d.; I have £131 5s. 1d. 5. Bought 400bu. 3pe. of wheat; 160bu. of rye; 150bu. 2pe. of oats; I have sold 225bu. 1pe. of wheat; 37bu. 2pe. of rye; 78bu. 3pe. of oats: how many bushels of each have I on hand? 175bu. 2pe. wheat; 122bu. 2pe. rye; and 71bu. 3pe. oats.

Ans.

COMPOUND DIVISION.

COMPOUND DIVISION is used when a number containing different denominations is to b divided.

When the divisor is less than 12, work by the following

Rule.

1. Set down the number to be divided, with the divisor on the left of the highest denomination.

2. Divide the highest denomination by the divisor, and set down the quotient.

3. If there is a remainder, multiply it by as many of the next denomination as make one of that denomination from which the remainder is derived, and add the next denomination to the product, dividing the amount as before, proceeding in the same manner with all the denominations.

When the divisor exceeds 12, but is the exact product of two figures in the multiplication table, divide first by the one and then by the other, as in simple division.

When the divisor exceeds 12, and is not the exact product of any of the figures in the multiplication table, the operation must be performed by Long Division. Proof-As in Simple Division.

Questions.

When is Compound Division to be used?
Where is the divisor to be placed?

If when you divide the highest denomination by the divisor a remainder occurs, how do you proceed?

When the divisor exceeds 12, but is the exact product of any two figures in the multiplication table, how may the operation be performed?"

How must the operation be performed when the divisor exceeds 12, and is not the exact product of any two figures in the multiplication table?

How is Compound Division proved?