10. Suppose 650 men are in a garrison, and their provi sions calculated to last but 2 months, how many men must leave the garrison that the same provisions may be suffi cient for those who remain 5 months? Ans. 390 men. 11. A regiment of soldiers consisting of 850 men are to be clothed, each suit to contain 3 yards of cloth, which is 13 yds. wide, and lined with shalloon 3 yd. wide; how many yards of shalloon will complete the lining? Ans. 6941 yds. 2 grs. 23 na. PRACTICE. PRACTICE is a contraction of the Rule of Three Direct, when the first term happens to be a unit or one, and is a concise method of resolving most questions that occur in trade or business where money is reckoned in pounds, shillings and pence; but reckoning in federal money will render this rule almost useless: for which reason I shall not enlarge so much on the subject as many other writers have done. Tables of Aliquot, or Even Parts. Parts of a shilling. Parts of a pound. Parts of a cwt.. d. S. £ The aliquot part of any number is such a part of it, as being taken a cer-tain number of times, exactly makes that number. CASE I. When the price of one yard, pound, &c. is an even part of one shilling-Find the value of the given quantity at Is. a yard, pound, &c. and divide it by that even part, and the quotient will be the answer in shillings, &c. Or find the value of the given quantity at 2s. per yd. &c. and divide said value by the even part which the given price is of 2s. and the quotient will be the answer in shillings, &c. which reduce to pounds. N. B. To find the value of any quantity at 2s. you need only double the unit figure for shillings; the other figures will be pounds. EXAMPLES. 1. What will 4614 yds. of tape come to at 11⁄2d. per yd ? S. d. 11d. | ¦ | 461 6 value of 4614 yds. at 1s. per yd. 5,7 81 £2 17s. 84d. value at 1d. 2. What cost 256 lb. of cheese at 8d. per pound? 8d. | | £25 12s. value of 256 lb. at 2s. per lb. £8 10s. 3d. value at 8d. per pound. Yards. per yard. 4861 at 1d. £. s. d. Answers. 2 0 61 When the price is an even part of a pound-Find the value of the given quantity at one pound per yard, &c. and divide it by that even part, and the quotient will be the an swer in pounds. EXAMPLES. What will 129 yards cost at 2s. 6d. per yard? s. d. £. S. £. 26 129 10 value at 1 per yard. Yds. Ans. £16 3s. 9d. value at 2s. 6d. per yard. 123 at 10 0 per yard £. s. d. Answers. 61 10 0 171 17 6 127 at 3 4 461 at 18 NOTE. When the price is pounds only, the tity multiplied thereby, will be the answer. EXAMPLE.-11 tuns of hay at 4l. per tun. CASE III. 38 8 4 given quan Thus, 11 4 Ans. £44 When the given price is any number of shillings under 20. 1. When the shillings are an even number, multiply the quantity by half the number of shillings, and double the first figure of the product for shillings; and the rest of the product will be pounds. 2. If the shillings be odd, multiply the quantity by the whole number of shillings, and the product will be the answer in shillings, which reduce to pounds. When the given price is pence, or pence and farthing, and not an even part of a shilling-Find the value of the given quantity at 1s. per yd. &c. which divide by the grea est even part of a shilling contained in the given price, and take parts of the quotient for the remainder of the price, and the sum of these several quotients will be the answer in shillings, &c. which reduce to pounds. EXAMPLES. 10. What will 245 lb. of raisins come to, at 9 d. per lb. ? 6d. S. d. 245 0 value of 245 lb. at 1s. per pound. Ans. £9 19 03 value of the whole at 93d. per lb. d. £. s. d. 372 at 13 Ans. 2 14 3 3 0 111 541 at 91 15 10 1/ 672 at 113 CASE V. 32 18 0 When the price is shillings, pence and farthings, and not the aliquot part of a pound-Multiply the given quantity by the shillings, and take parts for the pence and farthings, as in the foregoing cases, and add them together; the sum will be the answer in shillings. EXAMPLES. 1. What will 246 yds. of velvet come to, at 7s. 3d. per yd.? S. d 3d. 246 0 value of 246 yards at 1s. per yd. Ans. £89 3 6 value of do. at 7s. 3d. per yard. ANSWERS. £. $. d. s. d. 2. What cost 139 yds. at 9.10 per yd.? 3. What cost 146 yds. at 14 9 per yd.? 68 6 10 107 13 6 at 9 81 per yd. ? 61 12 11} 6. What cost 49 lbs. at 3 11 per lb. ? 9 15 11 CASE VI. When the price and quantity given are of several denoinations-Multiply the price by the integers in the given quantity, and take parts for the rest from the price of an integer; which, added together, will be the answer. applicable to federal money. This is qr. 2. What cost 9 cwt. 1 8 lb. of sugar, at 8 dollars, 65 cts. per cwt.? $cts. 1 qr 8,65 9 TARE and Tret are practical rules for deducting certain allowances which are made by merchants, in buying and selling goods, &c. by weight; in which are noticed the following particulars : 1. Gross Weight, which is the whole weight of any sort of goods, together with the box, cask, or bag, &c. which contains them. 2. Tare, which is an allowance made to the buyer, for the weight of the box, cask, or bag, &c. which contains the goods bought, and is either at so much per box, &c. or at so much per cwt. or at so much in the whole gross weight. |