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20yds. being the first term,
proves the work right. In the proof, does more require more, or less require less? Ans. More requires more,
How does more require more? Ans. The more money the more yards.
Note - The scholar should be required to read his statement, to see if it agree with the condition of the question.
What can you buy 15yds. of cloth for, if 10yds. cost 20 dollars? Ans. 30 dollars.
What can you buy 15 tons of hay for, if 3 tons cost ten dollars? Ans. 30 dols,
What will 20 lbs of sugar come to at 9d per pound? Ans. 15 shillings.
What is the meaning of 9d, or 6d, &c. per lb. per oz. &c.? Ans. One pound, or ounce, &c. cost 9d.
If 4 tons of hay will keep 2 cattle over the winter; how many tons will it take to keep 25 cattle, at the same rate? Ans. 50 tons.
If you give 50 dollars for one horse; what must you give for 10 horses at the same rate? Ans. 500 dols.
If you buy 1 knife for 6d, what must you give for 18 at the same rate? Ans. 3 shillings.
What will 20 bushels of rye come to at 25 cents per bushel? Ans.' .
INVERSE PROPORTION; OR RULE
OF THREE INVERSE. To what questions does the Rule of Three Inverse relate? Ans. Questions in which more requires less, or less requires more.
When does more require less? Ans. When the third term is more than the first, and requires the fourth term to be less than the second.
When does less require more? Ans. When the third term is less than the first, and requires the fourth to be more than the second.
how state the sums? Ans. As in the Rule of Three Direct.
Which terms multiply together? Ans. First and second.
What divide by? Ans. The third.
In what denomination will your answer come out? Ans. In the same that the middle term was brought into.
What is the proof? Ans. As in the Rule of Three Direct.
How state the following sums and why?
If 12 men can build a wall in 20 days, how many ' men can do the same in 8 days? Ans. 30 men. !
In the above, does more require less, or less more? Ans. Less requires more.
How does less require more? Ans. The less days the more men.
If 48 men build a wall in 12 days in how many days will 120 men do the same? Ans. 4 days.
Does more require less or less require more? Ans. More requires less.
How is this? Ans. The more men, the less days.
If a man performs a journey in five days, when the day is 12 hours long, in how many days will ho
periorm it, when the day is but 10 hours long, and does less require more or more less?
If 10 men build a ship, in 120 days, how many men will be necessary to do the same, in 30 days Ans, 40 men.
Note.-As questions in practice may be easily solved by the Rule of Three, it being only a contraction of that rule when the first term happens to be a unit, or one; and as tec oning in Federal Money has rendered it almost useless, it will be omitted as has been by many writers. The instruci tor will of course direct the pupil to attend to the performi ance of this rule found in the Arithmetic which this may accompany if deemed proper.
TARE AND TRETT. What are practical rules for deducting certait allowances made on goods, in buying and selling bil weight called? Ans. Tare and Trett.
What is the whole weight of goods including ex ternal package called? Ans. Gross weight.
What is an allowance for the weight of the external package, called? Ans. Tare.
What is an allowance of one pound on every 26 for waste, dust &c., called? Ans. Trett.
What is an allowance of one pound, on every 163 to retailers, for the turn, of the scale, called?! Ans. Cloff.
What is that which remains after a part of the allowance has been made, called? Ans. Surtle.
What is that which remains after all allowances are made, called? Ans. Neat Weight.
CASE, L. When the question is an invoice, what is the rule! Ans. Subtract the whole tare from tbe gross.
What is that which remains called? Ans. The neat weight.
CASE, II. When the tare is at so much per box, each &c., - what is the rule? Ans. Subtract the whole tare
from the gross. I. What is the remainder called? Ans. Neat weight:
CASE, Iff When the tare is at so much per cwť. what is the rule? Ans. Find the tare by the Rule of Three, or divide the gross weight by the aliquot parts of a cwt. and subtract the tare from the gross, the remainder is the neat weight.
CASE, IV. When the trett is allowed with the tare, how find the tare? Ans. As before.
What divide the remainder or suttle by? Ans. 26.
How proceed next? Ans. Subtract the trett from the the suttle.
What will the remainder be? Ans. The neat weight.
CASE, V. - When Tare, Trett, and Cloff are allowed, how deduct the tare and trett? Ans. As before.
What divide by? Ans. 168.
How is the cloff to be subtracted? Ans. From the suttle. 4 What will the remainder be? Ans. Neat weight.
INTEREST. a What is the allowance, paid by the borrower, 10
the lender, for the use of money called? Ans.
Interest. " How many kinds are there? Ans. Two.
What are they? Simple and Compound.
What is Simple Interest? Ans. That interest which is allowed for the principal only
At what rate per cent, is it generally reckoned? Ans Six per ocnt per annum.
How 'is this per cent fixed in most of the United States? Ans. By law.
What is the meaning of 6 per cent per annum? Ans. Six dollars for the use of 100 dollars, or €6 for the use of £100 for one year, &c. .
What is the meaning of per annum? Ans. For a year.
What is the interest, which is established by law called? Ans. Legal interest.
Suppose there is no rate per cent mentioned; what percent is always to be understood? Ans. The rate per cent established by law.
What is that in our own state? Ans. 6 per cent.
How many things are to be noticed in interest? Ans Three.
What are they? Ans. Principal, Rate and Amount.
What is the Principal? Ans. The sum lent.
What is the Rate? Ans. The sum per cent agreed on.
What is the amount? Ans. The Principal and Interest added together. :
How is the best way to find the interest of any sum, whether dollars, eagles, guineas, pounds, or shillings &c. at 6 cent, for 1 year or more? Ans. Multiply by the number of months and divide by 100, or cut off two figures. .
EXAMPLES. Remark. The instructor will continue to bear in mind that the slate is not to be used by the scholar in giving the answers to the examples.
What is the interest of 40 dollars for one year? Ans. 2 dols. 40 cents.