4 If five dollars will pay for the carriage of 2 cwt. 180 mile, how far may 15 cwt. be carried for the same Ans. 20 miles. money? 5 If when wheat is 7s. 6d. the bushel, the penny loaf will weigh 9oz. what ought it to weigh when wheat is 6s. per bushel? Ans. 11oz. 5pwt. 6. İf 30 bushels of grain, at 50 cts. per bushel, will pay a debt, how many bushels at 75 cents per bushel, will pay the same? Ans. 20 bushels 7. If 100l. in 12 months, gain 61. interest, what principal will gain the same in 8 months? Ans. £150 8. If 11 men can build a house in 5 months, by working 12 hours per day—in what time will the same numper of men do it, when they work only 8 hours per day? Ans. 7 months. 9. What number of men must be employed to finish in 5 days, what 15 men would be 20 days about? Ans. 60 men. 10 Suppose 650 men are in a garrison, and their provisions calculated to last but 2 months, how many men must leave the garrison that the same provisions may be sufficient for those who remain five months? Ans. 390 men. 11. A regiment of soldiers consisting of 850 men are to be clothed, each suit to contain 3 yds. of cloth, which is 14 yards wide, and lined with shalloon yard wide; how many yards of shalloon will complete the lining? Ans. 6941yds. 2qrs. 2fna. 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 Alliquot, or Even Parts. Parts of a shilling. Parts of a Pound. Parts of a cwt. 6d. 4d. 3d. 2d. The alliquot part of any number is such a part of it, as being taken a certain number of times, exactly makes the number. CASE I. When the price of one yard, pound &c. is an even part of a shilling.-Find the value of the given quantity at 1s. 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 yard, &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 461 yards of tape come to, at 1d. per yd. S. d. 1d. 461 6 value of 461 yds. at 1s. per yd. 5,7 81 £2 17s. 8d. value at 1d. 2. What cost 256lb. of cheese at 8d. per pound? £25 12s. value of 256lb. at 2s. per lb. £8 10s. 8d. value of 8d. per pound. 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 answer in pounds. EXAMPLES. What will 129 yards cost at 2s. 6d. per yard? s. d. £ S. £ 2 6129 10 value at 1 per yard. to Ans. £16 Yds. s. d. 3 9d. value at 2s. 6d. per yard. £. 8. d. 123 at 100 per yard. Answers. 61 10 NOTE. When the price is pounds only, the given quantity multiplied thereby, will be the answer. EXAMPLES.-11 tons of hay at 41. per ton. Thus 11 When the given price is any number of shillings under 20. 1. When the shillings are an even number, multiply :he quantity by half the number of shillings, and double the first figure of the product for shilling; 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 farthings, and not an even part of a shilling-Find the value of the given quantity at 1s. per yard, &c. which divide by the greatest 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. What will 245 lb. of raisins come to, at 94d. per lb. S. d. 6d. 245 0 value of 245 lb. at 1s. per pound. Ans. £9 19 04 value of the whole at 94d. per lb. When the price is shillings, pence and farthings, and not the alliquot part of a pound-Muitiply 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 yard? s. d. 3d. 246 0 value of 246 yards at 1s, per yd. 7 1722 0 value of do. at 7s. per yd. 2,0)178, 3 6 Ans. £89 3 6 value of do. at 7s. per yard. When the price and quantity given are of severai denominations-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. This is applicable to Federal Money |