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31

M.

52. What will 19 M. 800 and 15 casts of white oak hhd. ftaves come to at dols.

per

M.? Ans, 614 dols. 96 cts. 2 ms. 53. What will 22 M.

900
and
37

caits of red oak hhd. staves come to at 13

dls.
per
M. ?

Ans. 298 dols. 90 cts. 2 ms. 54. What will 56 bundles of hoops come to at 25 dols.

per of 30 bund. ?

NOTE. Hoops are sometimes bound in bundles of 30 hoops each, and four such bundles are 1 hundred, and 10 hundred or 40 bundles,

thousand, But they are generally bound in bundles of 40 each, 3 bundles making 1 hundred, and io hundred or zobundles, 1 thou. land.

3)56 hund. dols.

Or bund. dols.

bund.
25
18 hundreds

30 : 25 : 56
25

25

If 10

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36.
16}

Dls. cts.

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:

326

310)14016 110)4616

46,66} 46,6}

An 46 dols. 63 dimes, or 66 cts. 55. How many bushels of salt, at 4 dolls. 75 cts. per hhd. can I have for 326 dollars ?

bush.

dls. If 4 75 8

Anf. 549 bushels, when measured

on board the vessel. If 4 75 71 :: 77 :: 326 Anf. 514 bushels 3 pecks, nearly,

when mealured ashore. 56. What is the tax on lands, &c. valued at 2957 dollars, in the direct tax, at 28.cents and 3 mills on the hundred dollars ?

Int.' 8 dols. 36 cts. 8 m. 57. What is the tax on a house, valued at goo dollars, in the direct tax, at f'o per cent. ?

dols. dols. dols,
93 900

23

If 100

:

100) 270,0

Ans. 2 dols. 70 cts. Or, As po per cent. is equal to 3 mills on the dolla, multiplying the sum in dollars by 3, gives the answer in mills.

EXAMPLE 58. What is the tax on 753 dollars at jo per cent. ?

753 dollars

3 mills

2259 mills.

20

22

6 TO

10

Anf. 9 dols. 25 cts. 9 m. 39. Find the tax on the following sums, dols.

dols, cts,
viz.
15% at its per cent.

Anr, 6
4560
To

80
7850

47 12680

88 76 16950

135

60 24620

221 58 35840

358 40 60. What will a piece of land, measuring 48 feet in length and 40 feet in width at each end, amount to at 20 dols, per square rod?

feet.

15
I

48

40

Anf. 141

4 cts.

feet. dols.
If 2721:20 :: 1920
By decimals,

dols. If 272,25:20 1920 61. A charter party for a vessel of 186 tons commenced on 28th of May, and ended on the roth of October following : What does the hire amount to for that time, at 2 dolsa per ton per month of 30 days.

days. May

4 June 30 July 31

August 31 186

Septem. 30 2 dogs. per mo.

Oétober 10
days.

372
136

If 30

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136

2232 1116 372

3,05059,2
1686,40

Anf. 1686 dols. 40 cts. In calculating the time, the days of receiving and discharging the vessel are both included.

INVERSE PROPORTION.

Whereas in the Rule of Three Direct, more requires more, and less requires less, in this rule more requires less and less requires more.

Rule. After stating the terms as in the Rule of Three Direct, multiply the first and second terms together, and divide the product by the third, and the quotient is the answer.

1. If ic workmen complete a piece of work in 12 days, how many are sufficient to do it in 3 days? d.

d. 3

12

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2. If 8 boarders drink a barrel of cider in 12 days, how long would it last if 4 more came among

them?

Anl. 8 days. 3. A ship's company of 15 persons is supposed to have bread to last their voyage, allowing each 8 ounces per day-when they pick up a crew of 5 persons in distress, to whom they are willing to com. municate, what will the daily allowance of each person then be ?

Anf. 6 ounces. 4. When wheat is sold at 93 cents per bushel, the penny loaf weighs 12 ounces--what must it weigh when the wheat is i dollar

per
bushel ?

Anf.

9 ounces, 5. How many yards of baize, 3 quarters wide, will line a cloak, which has in it 12 yards of camblet, half yard wide ?

Anf. 8 yards. 6. Suppose 400 men in a garrison are provided with provisions for 30 days, how

many men must be sent out, if they would have the provisions last 50 days.

Anf. s60 men. 7. What sum should be put to interest to gain as much in 1 month 127 dollars would gain in 12 months ? Ans. 1524

dols.

24 cents

as

COMPOUND PROPORTION, COMPOUND PROPORTION teaches to resolve such questions, as require two or more statings by simple proportion.

Rule. State the question, by placing the three conditional terms in this order : that which is the principal cause of gain, loss, or action, possesses the first place ; that which denotes space of time or distance

of place, the second ; and that which is the gain, loss, or action, the third ; then place the other two terms, which move the question, under those of the same name, and if the blank place fall under the third, multiply the three last terms for a dividend, and the two first for a divisor : but if the blank fall under the first or second place, multiply the first, fecond, and last terms together for a dividend, and the other two for a divilor ; and the quotient will be the answer.

EXAMPLES.

mo.

1. If £.100 in 12 months gain £ 5, how much will £ 400 gain in 3 months ? £.

£.

5 400

3 3

100

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2.

If 8 men make 24 rods of wall in 6 days, how many men will build 18 rods in 3 days ?

d. 8 6

24
3

18
6

m.

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3. If a family of 9 persons spend 450 dollars in 5 months, how minch would be sufficient to maintain them 8 months, if five more were added to the family,

Anf. 1120 dollars.

4. What is the interest of £ .240 for 50 days at 5 per cent. per annum ?

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N. B. By omitting to multiply by the rate per cent, and dividing 36500 by it, are found the fixed divisors of 7300 for 5, and 6c83 for 6, per cent. per annum, fometimes used in calculating in

terest.

K

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