N. B. The scholar, in order to find the correctness of his answer, must multiply it by 2, and if the product agree with the answer in the book, his sum is right.

9. What cost nine yards of English cloth at £1 13s. 6d. per yard?

10. What is the weight of 7 2 lbs. 8 oz. 14 pwt. 16 grs.?

Ans. x2=£30 3s. 9d. ingots of silver, each weighing

Ans. X2 £38 lbs. 2 oz. 5 pwt. 8 grs. 11. A man travelled 34 m. 5 fur. 24 rods in a day; how far did he travel in 9 days? Ans. X2=624 m. 4. fur. 32 rds. 12. What is the weight of 9 silver spoons, each weighing 1 oz. 13 pwt. and 16 grs.? Ans. X2-2 lbs. 6 oz. 6 pwt. day, how much must you pay Ans. X2 £2 14s.

13. If a man earn 4s. 6d. a

for 6 days' labor?

14. How much wood in 5 piles, each measuring 11 cords, 6 ft. and 8 inches? Ans. X2 118 cords, 2 ft. 8 inches?

15. A merchant bought 6 pipes of wine, each containing 126 gallons; out of which he filled 12 quarter casks, each containing 34 gallons, 2 qts. and 14 pints; how much of the wine was left? Ans. X2-679 gals. 2 qts.

16. What is the weight of 8 boxes of Havana sugar, each weighing 3 cwt. 2 qrs. 21 lbs. ? Ans. X2 59 cwt.

17. What weight in 6 boxes of medicine, each weighing 14 lbs. 8 oz. 6 dr. 2 sc. 14 gr.

3

18. Bought 4 pieces cloth, each piece containing 21 yds. qrs. 2 na.; how many yards did I purchase?

Ans. X2-175 yds.

19. What is the weight of 4 loads of hay, each weighing

1 T. 11 cwt. 2 qrs. 14 lbs. ?

20. How much wine in six casks, each containing 31 gals. 2 qts. 1 pt. 3 gills? Ans. X2 380 gals. 2 qts. 1 pt.

21. A grocer had 4 hhds. of sugar, weight of each 9 cwt. 2 qrs. 14 lbs., out of which he filled 9 bbls. each containing 2 cwt. 3 qrs. 12 lbs. ; how much sugar remained?

Ans. X2-25 cwt. 2 qrs. 8 lbs. 22. If a boy study 7 hours, 25 min. 13 sec. in one day, how much will he study in 5 days?

Ans. X2 74 hrs. 12 min. 10 sec. 23. A ship sailed in one day, 3° 40′ 35"; how far will she sail in 11 days? Ans. X2-80° 52′ 50′′. 24. A druggist made a compound, consisting of 5 ingredients, each weighing 4 lbs. 0 oz. 0 dr. 1 sc. 13 grs. What was the weight of the whole mixture?

Ans. X2-40 lbs. 0 oz. 5 dr. 1 sc. 10 grs. 25. If I spend £4 13s. 9d. in a day, what do I spend in a week? Ans. X2 £65 12s. 6d.

CASE
CASE SECOND.

Q. What is the second case in Compound Multiplication? A. When the multiplier is a composite number, and more than 12.

Q. What is a composite number?

A. It is the product of two numbers, in the table, multiplied together, as 4×6=24. Therefore 24 is a composite number, of which 4 and 6, are the component parts.

Q. What is the RULE in this case?

A. Take any two numbers, whose product (when they are multiplied together) will exactly make the given multiplier, and multiply, first by one of those figuers, and that product by the other figure, and the last product will be the answer or term sought.

EXAMPLES.

1. What will be the product of £16 13s. 84d. multiplied by 24?

Operation, 4×6=24, the multiplier.

£ s. d.

Therefore multiply 16 13 8 the given multiplicand,

and it produces

66 14 10 the product of the component 4. Then multiply this product by 6 the other component number,

and it produces

400 9 0 the product of the whole No. 24.

Q. When the multiplier is larger than 12, and not a composite number, what is the RULE ?

A. Take any two such numbers in the table, whose product will come nearest to the given multiplier, and multiply by them as before; then multiply the given multiplicand by what remains, and add this last product to the previous one, and their sum will be the product or answer.

EXAMPLES.

What is the product of £24 13s. 84d. multiplied by 26?
Operation, 4×6=24+2=26 the multiplier.

£ s. d.

Therefore multiply 24 13 84 the given multiplicand,

by

4 the first component figure of 24,

and it produces 98 14 9 the product or price of 4; now multiply this product by 6 the other component of 24,

7 4

and it produces 592 8 6 the product or price of 24, and 24 13 842 produces 49 ing added to the produces

the product or price of 2, which be former product,

641 15 10

the product or price of 26.

£ s. d.

£ s. d.

Ans. 510 47

2. Multiply 13 8 6 by 38.

hhds. gals. qt. pt. gi.

T. cwt. qr. lb.

Ans. 249 7 1 14

cwt. qr. lb. oz.

Ans. 336 1 8 4

yds. qr. na. Ans. 396 3 3

S. o

Ans. 459 22 21 52

acres rds. rods. Ans. 630 0 35

lb. oz. pwt. gr.

Ans. 5012 0 0 12

hhds. gal. qt. pt. gi.

9. Multiply 13 29 3 1 2 by 19. Ans. 256 1 3 0 2

MISCELLANEOUS QUESTIONS.

1. What is the weight of 16 barrels of sugar, each weighing Ans. 37 cwt. 3 qrs. 12 lb.

2 cwt. 1 qr. 13 lbs. ?

2. How many yards of cloth in 36 pieces, each piece containing 26 yds. 2 qrs. 3 na.? Ans. 960 yds. 3 qrs. 3. How much hay on 17 acres of meadow, if each acre yield 3 T. 14 cwt. 3 qrs. 18 lbs. ? Ans. 63 T. 13 cwt. 1 qr. 26 lbs. ' 4. How much wine in 27 casks, each containing 32 gals. 2 qts. 1 pt.? Ans. 880 gals. 3 qts. 1 pt.

5. A silversmith sold 2 dozen of table spoons, each weighing 2 oz. 12 pwt. 17 grs. ; 23 dozen tea spoons, weight of each, 14 pwt. 16 grs.; and one dozen fruit knives, weight of each, 2 oz. 13 pwt. 10 grs.; what did the whole weigh?

Ans. 9 lbs. 9. oz. 6 pwt.

6. If a ship sail 2° 13′ 14′′ in one day, how far will she sail during the month of February, 1831? Ans. 62° 10' 32". 7. A grocer purchased 14 hhds. sugar, weight, each, 8 cwt. qr. 14 lbs.; 26 boxes, weight, each, 4 cwt. 2 qr. 18 lbs. ; and 38 barrels, weight, each, 2 cwt. 0 qr. 20 lbs; what was the whole weight? Ans. 321 cwt. 0 qr. 24 lbs.

8. What will 27 yards of silk come to at 6s. 94d. a yard? Ans. £9 3s. 4}d.

9. If the month of July come in, on Sunday, and a laborer let himself to work, every working day, at 7s. 6d. a day, to what will his month's wages amount? Ans. £9 15s.

10. A farmer harvested 47 acres of wheat, which yielded 35 bu. 2 pks. and 6 qts. to the acre; 14 acres of rye, yielding →

27 bu. 3 pks. 5 qts. to the acre; and 9 acres of corn, yielding 45 bu. 3 pks. 6 qts. to the acre; how many bushels of each, and how many in all ?

Ans.

1677 bus. 1 pk. 2 qts. of wheat.
390 66

26

of rye.

413" 1" 6

"of corn.

"of the whole.

2481 66 1 " 6

11. If I buy 21 boxes of sugar, weight of each, 3 cwt. 2 qrs. 19 lbs., and sell 28 bbls. weight each, 2 cwt.

I buy or sell most, and how much?

qrs. 24 lbs., do

Ans. I sell 5 cwt. 3 qrs. 21 lbs. more than I buy.

COMPOUND DIVISION.

Q. What is Compound Division ?

A. It is when the dividend consists of several denomina. tions, as dollars, cents, mills; pounds, ounces, drams; days, hours, &c.

FEDERAL MONEY.

Q. What is the RULE for Division of Federal Money?

A. Write down the dividend in cents, and divide the same as in simple division, and the quotient will be cents: or, as is sometimes necessary, write it down in mills, and the quotient will be mills, which must be brought to dollars.

Q. If the divisor and dividend both consist of dollars and cents, how do you proceed?

A. Write them both down in the lowest denomination mentioned in either: that is, if there be cents in either term, write both the terms in cents; or if there be mills in either, write both in mills; then divide as before, and the quotient will be dollars.

Q. What is to be done with a remainder, if there should be

any?

A. Annex two ciphers, or multiply it by 100, to bring it to cents; divide again, and this quotient will be cents; and if great exactness be necessary, annex another cipher to the remainder, if any, and the quotient will be mills.

Q. If cents be divided by cents, or mills be divided by mills, what will the quotient be?

A. It will be dollars.

Q. What then will any whole number or any fraction di. vided by itself, produce?