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:If i} yards cost 9s. what is the value of 161' yards ?

"answer 51 17 s. 8 What sum pays for 100 yds. of cloth, at 1715. per yd ?

answer 861. 9 At 5£s. per oz. what are 164oz. of silver worth?

i answer 41 12s lgr. 10 If . C.wt. cost 14, L. what will 74 C.wt. amount to ?

answer 1181 6s 8d. -- 11 If of an ell English be worth of 19s. what is the value of 7 ells ?

is. answer 71 78 9d.1gr. 12 If 8lb. of tobacco cost 4s 9d. what is that per lb.

answer 7d. * 13 How much cash will purehase 4 pieces of cloth, each • 27 yards, at 15 s per yard

answer 85l 10s 11d.. 14 Please to tell the quantity and value of 31 pieces of silk, each 241 yards at 5s Od. per yard?

answer quantity 851yds. value 25l 14s 6d. 21 gr., 15. If lb. less by , cost 13s įd. what cost 141b. less by of 21b. .

answer 41 9s 9 d. *: 16 Bought 120lb. of tea, at 8ks, per lb. which being sold for 70L. required the gain per cent?

answer 351 5s 3d. 3qr. 17. What will 13 lb. cost at the rate of 175 L. per C.wt.

is answer 21.387 18 If of a ship be worth 731 1s 3d. what part of her may be purchased for 2501 10s. ? . :. answer

19 If 37 times 3 lb: cost 11 time it. what is the value of of of 123lb?"

... answer 7s 6d. 20 Amercer suld 4 pieces of silk, each containing 22 yds. at 8s. per yard, what is the amount of his bill?

answer 461 98 11d 2gr. 21 A person having of a ship, sells of his share for 3191. what is the proportional worth of the whole vessel ?

answer 5981 2s 6d. INVERSE PROPORTION. ,

- RULE.. ** After the necessary preparations, multiply the first and second terms together, and divide that product by the third term; or,

Invert the dividing term, and multiply them together for the fractional answer. See the last note.

mo

EXAMP

.:: EXAMPLES.. 1. What quantity of shalloon that is żyd. wide, will line 73yds. cloth, iżyds. wide ?? ; First, 7

t yd. yd. 15 yds. As a: 15 ::

ydyd.

: 15 answer. '
Second, 13 = yds.
Or, cancelled;

calien. 3
ed. 3

15 A
A=15 yds.

ir
reas 73 15 yas.

.

. 2 If 31 yards of cloth, that is 14 yard wide, be sufficient to make a cloak; how much Persian which is but 4 yard wide will be required to line it? answer 4yds. 3qrs. 2na.

3 16 men finishing a piece of work in 284 days: the time is required in which 12 men should do it in:

answer 377 days. 4 In exchanging 203 yards of cloth of 14 yard wide, for some of the same quality of 38 yards wide; what quantity of the latter makes an equal barter? answer 34tyds.

5 If 3 men can perform a service in 41 hours ; in what time may ten men effect it?

answer ihr. 21 min. 6 When wlieat is at 51 shillings per bushel, if the penny loaf weigh 7oz. what is it per bushel, when the penny loaf weighs 23 oz. ? . .

answer 158 4d. 3qr. 7 If when the price of wheat is 64s. per bushel, the penny loaf weighs 9oz. what must it weigh, when that grain sells at 44s. per bushel ?

answer 12oz. 8dr. 8 A piece of tapestry 3 ells Flemish wide, and four long, is to be lined with stuff' which is but žyds. wide ; how many yards are sufficient?

answer Syds. 9 Suppose 275 yards of cloth, that is 14 yard wide, make coats for 130 men ; what number of yards of shalloon of 3 yards wide will be requisite to line them?

answer 458;yds. 10 How many yards of baize ell English wide will be sufficient to line 20 yards of camelot, that is 1 yards wide?

.. answer 12yds. 11 A merchant bartering 5.C. of sugar at 6 d. per lb. for tea, at 86s. per lb. would know what quantity of the latter article he is to receive ? :.." to answer 43 ib.

12 What

12 What number of pieces of merchandize, at 2015. per piece, are equivalent to 2404 pieces, at 124s. per piece

answer 149 pieces. „13 A lends to B 100%. for 6 months; what sum should B lend A for 3 years to requite his kindness ,

answer 141 11s 9d. 15gr. :· 14 How many yards of cloth, at 8 s. per yard, must be given for 265 yards, at 5. 1 s. a yard?

answer 17yds. 1gr. 3na. 14

The Double RULE OF Three in VULGAR
.

FRACTIONS.

RULE.
Prepare the terms, if necessary; then state, and work
them agreeably to the directions given in whole numbers.
Or,' . ..

Invert the dividing terms, and multiply the upper figures
continually for the numerator, and those below for the de-
nominator, of the fractional answer.
Note. The Note to case 5, in Reduction, may be applied here.

EXAMPLES. ; i 1f of a yard of cloth that is Jyd. wide cost L. what is the value of yard that is 13 yard wide, being ofthe same quality?

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4 If 5 persons drink 74 gallons of beer in a week, what quantity will serve 8 persons 224 weeks ?

answer 280 gallons. 5 Fourteen persons, upon examining into their expences for 20 weeks past, found they had laid out 4051. in what time, at the same rate, may 2031. be expended by 46 persons?

; answer 3793 weeks. .6 If 1341. in 2 of a year gain 11 l, interest, what interest will 501. gain in of a year; and at what rate per cent, per annum ?

answer 21 5s 1d. 2gr. at 10 per cent. 7 If 50l. in of a year gain 21 5s 1d. 2 gr. in what time will 1341. gain 1. ml. and at what rate per cent. per annum ?

answer year, at 105 per cent. 8 When 12 persons use 14 pound of tea per month; how much should a family of 8 persons provide for 5 year?

answer 411b. 9 Two brothers at school compute the expence of their boarding, tuition, &c. for 3 of a year to be 5641. how much will the education of 3 sons for 5 years cost their father at that rate ?

answer 6001

DECIMAL FRACTIONS..

DECIMAL Fraction is a part, or parts of a unit, A denoted by a point prefixed to a figure, or figures, thus, .4, .45, .456; the first figure after the point denotes so many tenths of a unit'; the second so many hundredths of a unit, or tenths of one tenth, which are equal to, and read as, to og 25%

A mixt number consists of a whole number and a decimal; thus, 245, 789; which is, 245 280

As whole numbers, counting from the right to the left, increase in a ten fold proportion ; so decimals, counting towards the right, decrease in the same proportion; which is exemplified in the following:

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TABLE.

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Note. Ciphers, annexed to decimals, neither increase nor decrease their value; thus, ,25000, and ,25 are equal, but

prefixed, decrease them in a tenfold proportion ; thus ; .5, :.05,.005, all express different decimals, and=16, 1679 100

ECIMALS.

ADDITION OF DECIMALS.

RULE. Place the numbers according to their value; viz. units under units, tenths under tenths, &c. and add as in addition of integers; putting the point in the sum total exactly under those in the example.

EXAMPLES.
Yards.

Pounds.
947.621

763.6821 576.71

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