9. A merchant bought a

quantity of sugar, sold 9 cwt.

10. A merchant bought

17 cwt. 2 qr. 14 lbs. of sugar, 3 qr. 25 lbs., had 7 cwt. 2 qr. sells 9 cwt. 3 qr. 25 lbs., how 17 lbs. left, how much did much has he left?

he buy?

12. If from a piece of cloth 11. From a piece of cloth containing 39 yds. 2 na. were was sold 6 yds. 2 qr.and there sold 6 yds. 2 qr., how many remained 32 yds. 2 qr. 2 na., remained? how much was there at first?

14. A farmer has 2 mow13. A farmer has 2 mow- ing fields containing 31 acr. ing fields, one contains 18 1 ro. 24 rds.; one contains acres, 3 ro., the other, 12 acr. 12 acr. 2 ro. 24 rds., how ma2 ro. 24 rds., how many acres ny acres did the other conin both? tain?

15. A note dated July 20, 1834, was paid in 9 mo. 46d., at what time was it paid?

16. A note dated July 20, 1834, was paid June 6, 1835, how long was it on interest!

COMPOUND

MULTIPLICATION and

DIVISION.

1. If a bushel of oats cost 2. If2 bushels of oats cost 3s. 6d., how much will two 7 shillings, how much is it bushels cost?

per bushel?

4. If 4 books cost 17s., what will 1 book cost?

6. If 5 yards of cloth cost

3. How much must be paid for 4 books, at 4s. 3d. each? 5. What will 5 yards of cloth cost at 3s. 8d. per yard? 18s. 4d., how much is it per 7. How much beer in 8 yard? bottles, each containing 2 qt. 1 pt. 2 gs. ?

9. If one gallon of molasses cost 2s. 8d. 3qr., what will 8 gallons cost?

S. d. qr. 28 3

8

8. If 8 bottles contain 22 quarts, how much does one contain?

10. If 8 gallons of molasses cost £1 1s. 10d., what cost 1 gallon?

If one gallon
£ s. d. qr.
cost 2s. 8d. 3qr. 8) 1 1 10 0

it is evident that

If the price of 8 gallons be

Ans.1 1 10 018 gallons will Ans. 0 2 8 3] divided into 8 cost 8 times as much. We parts, it is evident, that one begin to multiply with the of these parts would be the

lowest denomination, which price of one gallon. Thus, is farthings. 8 times 3 qr. 1 pound divided by 8, gives are 24qr. 6d. Oqr. Place a a cipher as a quotient figure, cipher in the column of far- which must be written under things, and proceed to mul- the column of pounds, and 1 tiply the column of pence, pound remains, which must reserving the 6d. found in 24 be reduced to shillings-1X qr. to be added-8 times 8d. 20-20s. and 1s. added 21s. are 64 d., and 6d. added are Dividing 21 shillings by 8, 70d. 5s. 10d. = Write the we have 2, as a quotient fig10d. in the column of pence, ure, and 5s. remainder, which and reserve the 5s. to be ad- reduced to pence 5×12=60 ded to the column of shil- and 10d. added=70d., which lings. Lastly, 8 times 2s. are divided by 8=8d and 6d over; 16s. and 5s. added are 21s. reduce 6d.to qr.,6×4=24qr. £1, 1s. and 10d., the answer. divided by 8=3qr. we have then £0 2s. 8d. 3qr., the an

swer.

COMPOUND MULTIPLICATION COMPOUND DIVISION

is when the multiplicand con- is when the dividend consists sists of different denomina- of different denominations. tions.

RULE.

RULE.

Divide the price by the Multiply the price by the quantity. When the quantiquantity. When the quanti- ty does not exceed 12, divide ty does not exceed 12, set by the whole quantity at once. down the price of one yard, Divide the highest denomione pound, or one gallon,&c. nation by the divisor-then, and the quantity under the multiply the remainder,if any, lowest for a multiplier, ob- by as many of the next lower serving to carry as in Com- denomination as make one of pound Addition.

EXAMPLES.

1. What will 9 yards of cloth cost at 5s. 6d. per yd. ?

that, adding to the product the next lower denomination; divide this sum by the given divisor, and so proceed.

EXAMPLES.

2. If 9 yards of cloth cost £2 9s. 6d., what will 1 yard

cost?

QUESTIONS. 1. What is Compound Multiplication? 2. Compound Division? 3. Rule for Compound Multiplication? 4. Rule for Compound Division? 5. How do you proceed when the multiplier is a composite number? 6. When the Divisor is a composite number?

3. What will 8 cwt. of 4. If 8 cwt. of cheese cost cheese cost at £1,10s. 5d. per £12 3s. 4d., what is it per cwt? cwt.?

5. What will 24 yards of 6. If 24 yds. of cloth cost cloth cost at 15s. 3d. per yd? £18 6s., what will one yard

component parts, [Answer.]

composite number, divide

[Ans.] as in the last ex-by its component parts. ample, 6×4 24.

7. What is the weight of 8. If 56 casks of raisins 56 casks of raisins, each weigh 90 cwt., what is the weighing 1 cwt.2 qrs. 12 lbs. ? weight of one cask?

9. How much will 66 acres of land come to at £7, 9s. 6d. per acre?

11. What will 108 boxes of sugar weigh, each weighing 2 cwt. 1 qr. 14 lbs. ?

13. What will 112 yds of cloth cost at £1, 10s. 6d. per yard?

10. If 66 acres of land cost £493, 7s., what will 1 acre cost?

12. If 108 boxes of sugar weigh 256 cwt. 2 qrs., what is the weight of one cask?

14. If 112 yards of cloth cost £170, 16s, what is it per yard?

15. How much cloth will 16. If it take 476 yds. 1 qr. be required to make 121 3na. to make 121 coats, how coats, if, to make one, it re- much will it require to make quires 3 yds. 3 qrs. 3 na. ?

17. What is the value of 336 yards of cloth, at 2s. 5d. per yard?

one?

18. If 336 yards of cloth cost £40, 12s., what is the cost of one yard?

19. What will 153 barrels 20. If 153 barrels of sugar of sugar weigh, each barrel weigh 516 cwt. 1 qr. 14lbs., weighing 3 cwt. 1 qr. 14 lbs.? what is the weight of one As 153 is not a composite barrel?

number, we will first find the When the divisor is not a weight of 100, then of 50, composite number, divide by then of 3; the several pro- the whole divisor at once,

QUESTIONS. 8. How do you proceed when the multiplier is greater than 12, and not a composite number? 9. How, when the divisor is not a composite number?

ducts added will be the an- after the manner of Long

516 1 14 weight of 153.

The above may be given in the form of a rule. When the multiplier is not a composite number, and is hundreds, multiply by 10, and

57

The divisor 153

4

is contained in 516 three times,

153)229(1qr. and there is a

153

remaind'r of57.

That is, if 153 barrels weigh

will give the product of 100, and this by the number of hundreds. For tens, multiply the product of ten by the

153

reduc'd to quar

ters, the next

this product by 10, which 153)2142(14lbs.] and must be

number of tens; for units, fore, multiply 57 by 4, and to multiply the multiplicand. the product add the one The several products added quarter, and divide the amount will be the answer sought.

21. How much will a man spend in a year, if he spend 4d. a day?

23. What is the value of 1900 yards of linen, at 5s. 84d. per yard?

229 by 153. We now have 1 qr. as the quotient, and a remainder of 76, which must be reduced to pounds by multiplying it by 28, and adding the 14lbs. to the product.Again, dividing by 153 we have 14 lbs. as the quotient. The several quotients, 3 cwt. 1 qr. 14 lbs., are the answer.

22. If a man in one year spend £6 1s. 8d., how much will he spend in a day?

24. If 1900 yards of linen cost £542 5s. 10d., what will 1 yard cost?

25. What will 68 hogsheads of lime cost, at £1, 1s. 61d. per hhd.?

27. What is the value of 26 yards of silk, at 9s. 6d. per yard?

26. If 68 hhds. of lime cost £73 3s. 5d., what is it per hogshead?

28. If 26 yards of silk be worth £12, 8s. Id., what will yard be worth?

1

30. If 14 bottles of beer contain 12 gal. 2 qts. 1 pt. 2 gills, how much does 1 bottle

29. How many gallons of beer in 14 bottles, each containing 3 qts. 1 pt. 1 gill? 31. What is the weight of contain? 6 chests of tea, each weighing 3 cwt. 2 qrs. 9 lbs. ?

33. How many acres in 9 fields, each containing 12 acr. 2 ro. 25 rds. ?

35. How many cords of wood in 37 piles, each concontaining 8 cords, 28 ft. ?

37. How much will 17 casks of nails weigh, each weighing 1 cwt. 2 qrs. 16 lbs. 3 oz. ?

32. If 6 chests of tea weigh 21 cwt. 1 qr. 26 lbs., what is the weight of 1 chest?

34. If in 9 fields there are 113 acr. 3 ro. 25 rds., how many in one field?

36. If 37 piles of wood contain 304 cords and 12 ft., how much in one pile?

38. If 17 casks of nails weigh 27 cwt. 3 qrs. 23lbs. 3 oz., what will one cask

39. How many bushels of weigh? apples can be put into 125 40. If 125 barrels contain barrels, each containing 3 425 bush. 3 pks. 1 qt., how bu. 1 pk. 5 qts. ? much does one contain?

41. If a ship sail 2 deg. 42. If a ship sail 75 deg. 30 m. 10 sec. in 1 day, how 5 m. in 30 days, how far will far will she sail in 30 days? she sail in one day?

43. If 3 men build 14 rds, 8 feet of wall in one day, how much will they build in 26 days.

45. If 1 yd. of cloth cost £2, 2s. 6d, what will 229 cost?

44. If 3 men build 376 rods, 10 feet, in 26 days, how much do they build in 1 day?

46. Bought 229 yds. of cloth for £486, 12s. 6d.What did it cost per yard? 47. The moon passes thro' 48. If the moon pass thro' 1 sign of the zodiac in 2d. 12 signs of the zodiac in 27d. 6h. 38m. 34 sec. In what 7h. 42m. 48 sec., in what time does it pass through 12 time does it pass through 1 signs?

49. If one gallon of mo

sign?

50. If 1000 gallons of mo