234
ARITHMETIC.
Rule II. When the Price of some certain Number is given,to iinci the Price of the Integer , or 1 ?
Divide the given price by its number, as in compound divi-sion, and the quotient will be the price of 1 as required. W henthe number or divisor exceeds 12, it is best to divide successivelyby its component parts, as in simple division. But if the divisorcannot be produced by the multiplication of small numbers, di-vide by it after the manner of long division.
Examples.
If 22 cvvt. cost 24/. 4s. what is 1 ?
L. s.
2)24 4
11)12 2 price of 11 cwt.
1 2 -of 1 do.
The rent of 172 Acres is 197/. 16s. what is the rent of 1 Acre?L. s. L. s.
172)197 16(1 3 per Acre.
172
• 2520
516
516
Rule VI. When there is some odd Weight, or Measure, inthe Quantity : After having multiplied the price by the num-ber of integers, (if there lie any) divide the odd quantity in-to aliquot parts of the integer, or of the price of each other,and add them all together.
Example.
3 tons 5 c. 2 qr. at L.7 : 9 : 3 per ton.
I..7 9 33
22 7 9
5 c. is of a ton 117 3£2 qr. is -fe of 5 c. 0 3 8 £
A. 24 8 9|
Rule VII. If there be a Fraction in the given Quantity. Af-ter having worked for the integral part, by any of the for-mer rules, lind the produce of the fraction, by multiplyingthe price by the numerator, and dividing the product by thedenominator, then add them together for the answer.
Example.
1735 J at L. I 5s.
3 4)1735
- 433 15
8)3 15(--’. 0 9 41-
Rule III. If the Given price of 1 or the Integer be an Aliquotpart of a Penny, Shilling , or Pound. Take the same part ofthe given quantity whose price is to be (found by dividing itby the number of times which the given price of 1 is con-tained in a penny, shilling, or pound) for the answer in pence,shillings or pounds respectively.
Example.
23984 at id. or \ of Is.
3)239842,0)799,4s. 8 d.
399/. 14s. 8 d. Answer.
Rule IV. If the Given price be no Aliquot part of a Penny,Shilling , or Pound. Divide it into several aliquot parts, thenwork for each by Rule 3, and their sum will be the answer.Or, it may often be divided so, that the less will be the ali-quot part of the greater; then take the same parts of the'prices found for the greater.
Example.
• 3274 at 13s. 9 d.
3274
at 10s. or 4 /. is 1637
— 3s. 4 d. or 4 /. is 545 13 4
— 5dov\ of 3s id is 68 4 2
at 13s 9d is X. 2250 17 6
Rule V. If there be Pounds in the price, multiply the givenquantity by the number of them ; and if there be also someodd Money , lind its produce by the former rules, and addthem together.
Example.
2596 at L .3 5s.
2596
3
at L. 3 is 77885 s. or |/. is 649
L. 8437 Answer.
Answer A. 2169 4 i\
Tare and Tret.
(28.) Gross Weight of any commodity is its own weight toge-ther with that of its package, whether it be cask, chest, or anything else.
Tare is the weight of the package, or an allowance made in-stead of it. What remains after the tare is taken from the gross,may be called tare suttle, if there be more deductions.
Tret is an allowance of 41b. upon every 1041b. of tare suttle,on account of dust or other waste. What remains after tret isdeducted, may be called tret suttle, if there be any following de-duction.
Clol'f is an allowance of 21b. for every 3 cwt. and some say, forevery 1001b. of tret suttle," to make the weight bold good, whensold by retail.
When all the deductions are made, the last remainder is calledNeat or Net Weight. When the tare is at so much per cwt. itwill be best to divide it into aliquot parts of it, as in the Rule ofPractice. The tret being 4 to 104, or 1 to 26, will be found bytaking the 26th part of the tare suttle. In calculating oil and spi-rits, 741 b. neat are allowed to the gallon.
Example.
Gross 17 cwt. 3 qr. 14 lb. tare 12 lb. per cwt. tret 4 to 104,and cloff 2 to 100 or 1 to 50. How much neat?
lb.
8 =4 =
cwt.
qr.
lb.
17
3
14
T?
1
1
3
I
1
0
2
154
1
3
184
tare
26
15
3
234
tare suttle
0
2
12J
tret
50
15
1
10J
tret suttle
0
1
H
cloff
15
0
44
neat.
VULGAE