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Ounces, dwt.s. and grainstroy, by counting the ounces and penny-weights as £ and s. and taking # the grains as pence; because 20dwts, make an oz. and 24 grains a penny-weight therefore at 20s. # oz. a penny-weight costs 1s. and a grain 1 halfpenny. Yards, qrs. and nails, by multiplying the quarters by 5, and nails by 15; for at 20s. per yard a quarter costs 5s. 0d. and a nail i3 pence. Ells English, qrs. and nails, by multiplying the quarters by 4 and counting every mail one shilling. Acres, roods and perches, are brought to the form of pounds shillings and pence, by multiplying the roods by 5, and perches by 1%; because 1+d. per perch and 5s. per rood, is just at the rate of 20s. per acre. Cwts. qrs. lbs. long weight are brought to like form by multiplying by 5 and 2; for there being 30lb in each quarter lib costs 2d. and a quarter 5 shillings. The rule for common weight, before given, will answer for tons cwt. and qrs. long weight. An example or two in each particular case will I hope be sufficient to make these matters fully understood.
Case 15th–When the quantity is of divers denominations and the price of one of the lower or lowest is given.
By multiplication bring the compound quantity to the denomination of which the price is given, and find the amount by such of the foregoing rules as is best adapted for the purpose, adding thereto the amount of the odd parts, if any, at the given price.
When the lowest denomination has a fraction in it or when the price of a mixed quantity is required.
Find the price according to such of the preceding cases as is best adapted, adding thereto such proportional part or parts as are equal to the price of the fractional part, or else consider the given quantity as pounds or shillings, and annex thereto such part of a pound or shilling as the fraction was of the integer to which it belongs.
When the given quantity and also the price, or either, approach within a small part of one more of each, it will often save labour to consider them as each increased by one, and from the price thus found to subtract the price of the part or parts thus added.
- yd qr, N 282. 42 193 14 at 26 8 8 283, 15 3 2 at 0 19 6
yd qr N - yd qr N 284. 14 3.34 at 1 180 285, 12 2 2 at 0 6 8 A R P A R P 286. 11 3 8 at 3 19 6 287. 10 3 20 at 2 13 4 bl.wt st - lb oz dr 288. 20 174 at 1 189 - 289. 12 I5 8; at 3 18 8 oz dwt grs bl.bar. st
290..10 I9 so at 3 16 0 291, 24 F4 at 0 16 0. or divide by 8 and 8. - 43. Multiply by 11 by addition, and 16. To 4d. = thrl add + or thereof. divide by 12 and 20, or subtract 17. To 3d add 3d thereof. +', and divide by 20.
18. From 5=4'sl take #d=ooth 44. From 1s, take 33d T’s thereof. 20. Similar to the last, but add. 45. In 3 lines, 8d, 3d and #d
21, 22. From 6d subtract an aliquotA6., Divide by 4 and 12 and subtract part thereof. - the result from the given number 24, 25, 26 and 27 similar, but add as shillings, because 48 farthings an aliquot part of 6d. - are ls. - - d add 28 and 30 each in 3 lines, 6d, 1d 48, 49 and 50. Divide by 20 and at
... and #, and 6d, 1} and #d. *r, and # respectively. o