Tankards, 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 oz. 17 dwts. 23 grs. per Dozen. How many of each must he make, supposing, for every Dozen of Plates and Spoons, he is to make one of each of the other? (9) In 4 lb. 10 oz. 4 drs. 1 scr. 12 grs. how many Grains? (10 Reduce 59934 grs. to Ounces and Pounds. (11) In 6 Tons, how many cwt. qrs. and lbs. ? (12) How many Tons in 26880 lbs. ? (13 Reduce 74 cwt. 2. qrs. 16 lb. 7 drs. to Drams. (16 In 6 hhds. of Tobacco, each weighing net 6 cwt. 3 qrs. 27 lb. 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 1264 lb. can I have out of one hhd. of Sugar, weighing net 83 cwt. ? (21) How many Parcels of 6 lb. 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 lb. 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 27 yds. 3 qrs. Cloth, how many Nails? (25 How many 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 Peces of Cloth, each 24 Ells Flemish, are there in 227 Yards? (32) I 4 Bale 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 12500 Poles to Miles. (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 from London to Newcastle upon Tyne, being 276 Miles? (38) How many Times does a Wheel, which is 18 Feet in Circumference, turn between London and York, being 197 Miles? (39) How many Barley-corns will reach round the Terrestrial Globe, which is 360 Degrees, and each Degree 69 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 many Shares doth the Whole contain? (43) A Person rents a Farm, which contains 200 Acres of Land; but he is to till no more than 964 Acres. I de sire 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 hhds. 42 gals. 2 qts. of Wine, how many Quarts? (47 How many hhds. 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 Halfpints, 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? (53) In 6 bar. 2 fir. 7 gal. of Beer, how many Gallons? (5) In 10 hhds. 42 gal. 4 pts. of Ale, how many Pints? (55) In 2017 qts. of Ale, how many hhds.? (56) In 12 hhds. of Beer, how many Barrels ? (57) In 18 Barrels of Ale, how many hhds. ? (58) In 4 Tuns, 1 bar. I hhd. 49 gals. of Beer, how many hhds. bar. and fir, and of each a like Number? (59 Reduce 24 qrs. of Wheat to Bushels, Pecks, and Gals. (60 In 3560 Gallons of Corn, how many Quarters? (61) How many Quarters and Bushels are there in 42 la. 4. qrs. 7 bu. of Wheat? (6 In 40 Chaldrons of Coals, how many Bush. and Pécks? (63) How many Chaldrons of Coals are there in 4762 bush.? (64) In 47 cha. 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. (68) 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 Christmas, 1800 (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 Arithmetic, it is often named the GOLDEN RULE. To perform which, observe the following RULE. 1. State or place the Number 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 divers Denominations, 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 or Name you left your second Term in. 4. If there happens to be a Remainder after the Division, reduce it into the next Denominat on 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. G EXAMPLES. (1) If three Yards of Cloth cost 18s. what will be the Value of 17 Yards, at the same Rate? (2) If 2 lb. of Sugar cost 1s 6d. 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 74d 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 6d per Yard; what is the Value of the whole? (8) Bought cwt. of Tea, for which I was to give at the Rate of 7s 9d per lb. What doth the whole stand me in ? (9) A Grocer bought 2 cwt. 1 qr. 14 lb. weight of Cloves, which cost him 34/ 6s and he would gain 67 by the Bargain. At what Rate must he sell them per lb ? (10) Suppose I have by me 200 Yards of Cambric, which cost me 90/ but some Damage having happened to it, I am willing to lose 71 10s by the whol; at what Rate then must I sell it per Ell English? (11) If 9 Dozen Pounds of Candles cost 21 5s what will 4 lb. 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 64d. per lb. I demand what the 4 hhds. came to. (13) A Merchant at London buys Tuns of Port Wine, which costs him 579/ 12s. the Freight thereof from Oporto to Londou costs 467. the Loading and Unloading 6. Custom 10. the Charge of the Cellar 4. 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. 89/ 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 1 gain every 6 Months 185/ 5s 6d? (17) How many Dozen Pair of Gloves, at 16d per Fair, 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; now 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 lb. 1 oz. 14 dwts. can I buy for 102/ 16s 6d supposing I give at the Rate of 5s 10d per Ounce? (21) Suppose I give at the Rate of 84d per oz. for Coffee, how many Parcels, each 1 cwt. can I have for 426/ 16s? (22) A Gentleman having an Estate of 4881 5s 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 Eatate of 564/ 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 9d for 1 oz. of Silver, how many Ingots, each weighing 2 lb. 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 4 3d for 3 Yards. I desire to know what the 6 Packs cost him per Yard. (26) If 16 Weeks' Pay comes to 141 16s what is that per Year? (27) A Butcher goes with 1167 14s to Smithfield Market, and buys Cattle at the following Prices, viz. Oxen at 10/ each, Cows at 7/ each, Calves at 17 10s each, Sheep at 19s each, and of each the same Number. How many of each Sort will the said 116/ 14s buy? (28) A Person failing in Trade owed me 560/ for which I received only 374/ 10s 6d. At what Rate did I receive per Pound? (29) The net Proceeds of a hhd. of Barbadoes Sugar, Weight |
