« PreviousContinue »
] COMPOUND MULTIPLICATION. 67 44. If I share in a certain stock be valued at 13£. 8s. 9fd. what is the value of 96 shares ?
45. If 1 spoon weigh 3oz. 5dwt. 15gr. what is the weight of 120 spoons ?
46. If a man travel 24m. 7fur. 4rd. in 1 day, how far will he go in 1 month?
47. If the earth revolve 0°. 15'. per minute, how far per hour ? 48. Multiply 39A. 3R. 17p. 30yd. 8ft. 100in. by 32.
49. If a man be 2da. 5h. 17m. 19sec. in walking 1 degree, how long would it take him to walk round the earth, allowing 3654 days to a year?
When the quantity required is such a number, as cannot be produced by the product of two or more numbers, we should proceed as in the following.
50. What is the value of 53 tons of iron at 13£. 175. 11d. a
d. 18 17 11
£. s. d. 18 17 11
94 9 7=price of 5 tons. 56 13 9=price of 3 tons.
10 944 15 10=price of 50 tons.
Because 53 is a prime 56 13 9=price of 3 tons.
number, that is, it cannot
be produced by the product 1001 9 7=price of 53 tons. of any two numbers; we
therefore find a convenient composite number less than the given number, viz. 50, which may be produced by multiplying 5 by 10. Having found the price of 50 tons by the last Case, we then find the price of the 3 remaining tons by Case I., and add it to the former, making the value of the whole quantity 1001£. 9s. 7d.
The pupil will hence perceive the propriety of the following
Multiply the price by the continued product of such numbers, as will be nearest the given quantity, and then find the value of the remainder by Case I., and the two products will be the
51. What will 57 gallons of wine cost at 8s. 31d. per gallon ? 52. Bought 29 lots of wild land, each containing 117A. 3R. 27p.; what were the contents of the whole ?
53. Bought 89 pieces of cloth, each containing 37yd. '3qr. 2na. 2in. ; what was the whole quantity ?
54. Bought 59 casks of wine, each containing 47gal. Sqt. 1pt. ; what was the whole quantity ?
55. If a man travel 17m. Šfur. 13rd. 14ft. in one day, how far will he travel in a year?
56. If a man drink 3gal. 1qt. 1 pt. of beer in a week, how much will he drink in 52 weeks ?
57. There are 17 sticks of timber, each containing 37ft. 978in.; what is the whole quantity ?
58. There are 17 piles of wood, each containing 7 corus, 98 cubic feet; what is the whole quantity ?
59. Multiply 2hhd. 19gal. Oqt. 1 pt. by 39.
London, July 4, 1835. Dow, Vance & Co., of Boston, U. S.,
Bought of Samuel Snow,
3s. 7d. 63
12s. 1140 72
19s. 11d. 81
9s. 3d. 35
19s. 7}d. 99
165. Ojd. 66
8s. 11d. 39
376£. 7s. O d. Samuel Snow.
Quebec, Jan. 8, 1835. Mr. John Vose,
Bought of Vans & Conant, 46 Ivory Combs,
at 3s. 5 d. 47 lb. Colored Thread,
6s. 9 d. 51 yds. Durant,
1s. 8d. 52 Silk Vests,
6s. 7d. 53 Leghorns,
11s. 9 d. 57 ps. Nankin,
8s. 3 d. 58 Ibs. White Thread,
9s. 11 d.
128£. 16s. 5 d. Received payment,
Vans & Conant.
Montreal, July 4, 1835. Mr. James Savage,
Bought of Joseph Dowe, 83 galls. Lisbon Wine,
6s. 70. 85 Port do.
3s. 93d. 86 Madeira do.
4s. 113d. 87 Temperance do.
3s. 64d. 89 Oil,
5s. 3d. 91 Leghorns,
195. 104d. 92 lbs. Green Tea,
3s. 13d. 93 pair Thread Hose,
45. 4£d. 94 Silk Gloves,
3s. Std. 95 Silk Hose,
6s. 6 d. 97 yds. Linen,
55. 5 d. 98 galls. Winter Strained Oil, 7s. 73d.
338£. 195. 24d. Received payment,
Liverpool, June 2, 1835. John Jones, of Philadelphia, U. S.,
Bought of Thomas Hogarth,
155. 10d. 624 Green do.
12s. Sd. 765 White do.
19s. 9fd. 169 Black Velvet,
13s. 5fd. 698 Green do.
15s. 6 d. 315 Red
14s. 3}d. 713 White do.
11s. 7d. 519 Carpet,
13s. 64d. 147
Black Kerseymere, 16s. 7 d. 386 Blue do.
14s. 3 d.
5012.£. Os. 11jd.
Montreal, June 17, 1835. Mr. Şamuel Simpson,
Bought of Lackington, Grey & Co. 19 yds. Cloth,
at 1s. 6d. 23 Worsted,
3s. 11 d.
1s. 54d. 34 Linen,
3s. 70. 37 Cotton,
11s. 9d. 38 " Flannel, ,
6s. 11d. 39 Calico,
106£. 1s. 11dd
Lackington, Grey & Co.
London, May 11, 1885. Messrs. Kimball & Fox, of Boston, U. S.,
Bought of Benjamin Fowler, 297 yds. Black Broadcloth, at
17s. 3}d. 473 Blue do.
9s. 114d. 512 Green do.
15s. 10d. 624 Black Silk,
12s. d. 765 Pongee do.
19s. 9 d.
Black Cassimere, 13s. 54d.
14s. 3 d.
16s. 7 d.
14s. 3 d.
4094£. 45. 23d.
COMPOUND DIVISION is when the dividend consists of several denominations.
1. What is } of 3 pence? 4d. ? 5d. ? 7d. ? 9d. ? 11d. ? 13d. . 2. What is } of 2 shillings ? 3s. ? 4s. ? 5s. ? 6s. ? 7s. ? 8s. ? 3. What is } of 7£. ? 8£. ? 10£. ? 11£. ? 13£. ? 14£. ? 4. What is $ of 3cwt.? 5cwt. ? 6cwt. ? 7cwt. ? 8cwt. ? 9cwt. : 5. What is of lyd. ? Qyds. ? 3yds. ? 5yds. ? 6yds. ? 7yds. ? 6. What is of 1gal. ? 2gal. ? 3gal. ? 4gal. ? 5gal. ? 6gal. ?
7 Divide 598£. 8s. 11d. equally between 5 persons.
Having divided the pounds by 5 we find £. £. 5)598
remaining which are 60s. ; to these we add the 8
8s. in the question, and again divide by 5 and 119 13 9 find 3s. remaining, which are 36d.; to these we
add the 11d. in the question, and divide their sum by 5. The several quotients we write under their respective denominations. 8. Divide 168£. 15s. Od. equally between 36 men.
£. 36)168 15 0(4£.
4 When the divisor is more than 12, we 144
usually perform the operation by long
division. In the present example, we first 24 20
divide the pounds by 36, and obtain 4£.
for the quotient and 24£. remaining, which 36)495(13s. we reduce to shillings and annex the 15s. 36
and again divide by 36 and obtain 13s. for 135
the quotient. The remainder we reduce 108
to pence, and again divide and obtain 9d.
for the quotient. 27
12 36) 324(9d.
324 From the above examples and illustrations we deduce the following
Divide the highest denomination, by the quantity, and if any thing remains, reduce it to the next lower denomination, and continue to divide until it is reduced to the lowest denomination.