kards, each 11 oz. 14 dwts. Tea-pots, each 10 oz 10 dwts. Lamps, each 20 oz, 17 dwts. 21 grs. Plates, 127 oz. 11 dwts. per dozen. Spoons, 36 02. 17 dwis. 23 grs. per dozen. How many of each must be make, supposing for every dozen of plates and spoons, he is to make one of each of the other? (9) In 41b. 10 oz. 4 drs. I scr. 12 grs. how many grains ? io) Reduce 59934 grs. to ounces and pounds. (11) In 6 tons, how many cwt. qrs, and lbs. ? (12) How many tons in 26880 16.? (13) Reduce 74 cwt. 2 qrs. 16 lb. 7 drs. to drams. 14) In 29768 oz. how many hundred weight? 15) Reduce 67 lb. 12 oz. 15 drs. to drams. 16) In 6 hhds. of tobacco, each weighing net 6 cwt. 3 qrs. 27 1b. how many pounds ? (17) How many hhds. of sugar, each weighing 114 cwt. are there in 12880 lb. ? (18) In 507 cwt. of lead, how many fother ?. (19) Out of 12 cwt. 3 qrs. 12 lb. of tea, how many canisters can I fill, each canister holding 12 lb.? (20) How many parcels, each 1261 1b. can I have out of one hhd. of sugar weighing net 84cwt.? (21) How many parcels of 6 Ib. 8 lb. 12 lb, and 16 lb. can a grocer have out of two hhds, of tobacco, each weighing net 4 cwt. 3 qrs. 24 16. and to have of each a like number? (22) Reduce 24 great pounds, at 24 oz. each, to common pounds, at 16. (23) In 120 common pounds, how many great pounds ? 24) In 27 yds. 3 qrs. of cloth, how many nails? 25) How niany yards in 352 nails? 26) Reduce 30 ells English, 4 qrs. 3 na. to nails. 27 ) In 569 nails, how many Fl. ells ? 28) In 14 pieces of cloth, each 24 yds, how many nails? 29) Reduce 24768 nails to pieces, each 12 yards. 30) In 12 pieces of cloth, each containing 20 Flemish ells, how many ells English? (31) How many pieces of cloth, each 24 ells Flemish, are there in 227 yards? (32) In 4 bales of cloth, each 12 pieces, and each piece 24 ells Fl. how many ells English? (33) In 60 miles, how many furlongs and poles ? 34) Reduce 12800 poles to miles. many shares (35) In 16 miles, how many feet, inches, and barley-corns? 36) Reduce 2280060 barley-corns to miles. (37) How many barley-corns will reach froin London to Newcastle-upon-Tyne, being 276 miles ? (38) How many times does a wheel, which is 184 feet in cir cumference, turn between London and York, being 197 miles ? (39) Ilow many barley-corns will reach round the terrestrial globe, which is 360 degrees, and each degree 69.4 miles ? (40) In 64 acres of land, how many roods and poles ? 41) Reduce 21760 poles to acres. 42) A common field, containing 774 acres, is to be divided into shares of 270 perches each. How doth the whole contain (43) A person rents a farm, which contains 200 acres of laod; but he is to till no more than 964 acres. I desire to know how many perches there are in the remainder. (44) In 12 tierces of wine, how many gallons and pints? 45) How many tierces in 6048 pints ? 46) In 4 bhds. 42 gal. 2 qts. of wine, how many quarts? (47) How many bhds. of wine in 5746 pints ? 48) A gentleman ordered his butler to bottle off a pipe of red port into quart bottles, How many dozen will the said pipe fill? (49) In a tun of oil, how many quarts, pints, and half-pints, and of each an equal number? (50) How many pipes, puncheons, hogsheads, and tierces, and of each a like number, are there in 1890 gallons ? (51) In 12 barrels of ale, how many gallons and pints ? 52) How many barrels of ale in 1704 pints? many hhds. ? 58) In 4 tuns, 1 b. 1 hhd. 40 gal. of beer, how many hhds. bar, and fir. and of each a like number? (59) Reduce 24 qrs. of wheat to bushels, pecks, and gal. (60) In 3360 gallons of corn, how many quarters? How many quarters and bushels are there in 42 la. 4 qrs. 7 bu, of wheat ? 62) In 40 chaldrons of coals, how many bush. and pecks ? 63) How many chaldrons of coals are there in 4762 bush.? (64) In 47 ch. 30 bush. of coals, how many sacks, each 3 bushels ? (65) How many chaldrons of coals are there in 6450 sacks, each three bushels ? (66) How many minutes are there in a Julian year? (67) Reduce 2073600 seconds to days. (63) In a lunar month, or 27 d. 7 h. 43 m. 5. sec. how many seconds? (69) How many thirds are there in a solar year? (70) In 31557600 seconds, how many days? (71) How many days from the birth of our Saviour to Christ. mas, 1810 (allowing Julian years)? (72) Suppose London was built 1108 years before the birth of our Saviour; how many days from that time to Christmas 1789, allowing the year as before XII. The RULE of THREE DIRECT TEACHETH by three numbers given to find a fourth, in such proportion to the third, as the second is to the first : for which reason it is termed the Rule of PROPORTION, as it is called the Rule of Three from its having three numbers given; and because of its excellent and extensive use in Arith metic, it is often named the Golden Rule. To perform which, observe the following RULE. 1. State or place the numbers in such order, that the first and third terms be of the same kind; and the second of the same with the number required. 2. If your first and third terms consist of different denomina tions, reduce them into one, and the second into the lowest name mentioned. 3. Multiply the second and third terms together, and divide that product by the first. The quotient will be the answer to the question, in the same denomination you left your second term in. 4. If there happen to be a remainder after the division, re duce it into the next denomination below the last quotient; and divide by the same divisor; the quotient will be so many of the said next name; proceed in this manner to the least name; and all the quotients together will be the answer. Or, when convenient, multiply and divide as in Sects. 9 and 10. EXAMPLES. (1) If three yards of cloth cost 188. what will be the value of 17 yards, at the same rate ? (2) If 2 lb. of sugar cost 1s 6{d. what will 24 lb. of the same cost? (3) If 4 lb. of candles cost 2s. 6d. what will 6 dozen cost at the same rate ? (4) If I cwt. of cheese cost 26s. what will 40 cwt. of the same come to? (5) Suppose I give 7 d. for 1 oz. of coffee, what must I pay for 1 cwt. (6) Bought 36 oz. of silver at the rate of 5s. 4d. per ounce. What does the whole come to? (7) If I buy 12 pieces of cloth, and each piece contains 30 yards, at 17s. Od. per yard; what is the value of the whole ? (8) Bought 1 cwt. of tea, for which I was to give at the rate of 78. 9d. per lb. What does the whole stand me in? (9) A grocer bought 2 cwt. I gr. 14 lb. weight of cloves, which cost him 341. 6s. and he would gain 6l. by the bargain. At what rate must he sell them per lb.? (10) Suppose I have by me 200 yards of cambric, which cost 90l. but some damage having happened to it, I am willing to lose 77. 10s by the whole; at what rate then must I sell it per ell English ? (11) If 9 dozen pounds of candles cost 21. 58. what will 4lb, of the same cost? (12) A grocer bought 4 hhds. of sugar, each weighing net 12 cwt. 2 qrs. 24 lb. and gave after the rate of 6 d. per lb. I demand what the 4 hhds. came to? (13) A merchant at London buys 46 tuns of port wine, which cost him 5791. 128. the freight thereof from Oporto to London costs 461. the loading and unloading 6l. custom 101. the charge of the cellar 4l. and he would gain 3601. by the bargain. A gentleman comes to him and demands the price of 26 tuns of the said wine. Quere, what must he give? (14) A factor bought of a farmer 12 cwt. 2 qrs. 14 lb. of cheese, and was to give 32s. 6d. per cwt. What must the farmer receive for his cheese? (15) If I cwt. of tea cost 891. 16s. 4d. at what rate must it be sold per lb. to lose by the whole 121. ? (16) If in four months I spend as much as I gain in three, how much do I lay by at the year's end, if I gain every six months 1851. 55. 6d.? (17) How many dozen pair of gloves, at 16d. per pair, will pay for 36 dozen and 8 pair of stockings, at 4s. 6d. per pair? (18) Bought a parcel of cloth at the rate of 6s. 6d. for every two yards, of which I sold a certain quantity at the rate of 18s. 9d. for every 5 yards, and gained thereby as much as 180 yards cost. I demand how many yards I sold? (19) How many pieces of Holland, each 20 ells Flem. may I have for 231. 8s. at 6s. 6d. per ell English? (20) How many ingots of silver, each 4 Ib. 1 oz. 14 dwts. can I buy for 1021. 16s. 6d. supposing I give at the rate of 5s. 10d. per ounce ? (21) Suppose I give at the rate of 81d. per oz. for coffee, how many parcels, each 1 cwt. can I have for 4261. 16s. ? (22) A gentleman having an estate of 488l. 58. per ann, is desirous to know how much he may spend daily, so that he may lay up 100 guineas at the year's end. (23) Suppose a gentleman has an estate of 5641. 12s. per ann, and he is rated at 3s. 9d. per pound for the land tax. Quere, his net yearly income? (24) Suppose I give 5s. Id. for 1 oz. of silver, how many gots, each weighing 2 1b. 10 oz. 12 dwts. may I have for 2001. ? (25) A draper bought of a merchant 6 packs of cloth; every pack had 6 parcels, each parcel contained 10 pieces, and every piece was 30 yards; he gave after the rate of 21. 4s. 3d. for 3 yards. I desire to know what the 6 packs cost him (26) If 16 weeks' pay comes to 141. 168. what is that per (27) A butcher goes with 1161. 14s. to Smithfield market, and buys cattle at the following prices, viz. oxen at 101. each, cows at 77. each. calves at ll. 10s. each, sheep at 19s. each, and of each the same number. How many of each sort will the said 1161. 14s. buy? (28) A person failing in trade owed me 5601, for which I received only 3741. 10s. bid. At what rate did I re ceive per pound? (29) The net proceeds of a hhd. of Barbadoes sugar, weight in year? |