EXAMPLES. 1. In 15 yds. 3 qr. 1 na. how many nails? Ans. 253 na. 2. In 1012 nails of cloth, how many yards? Ans. 63yds. 1qr. 3. Reduce 73 ells Flemish to quarters. Facit 219 qr. 4. How many ells Flemish are in 1752 nails? Ans. 146 ells. 5. How many ells English are in 1408 nails? Ans. 70 E. 2 qr 6. In 10 bales of cloth, each 10 pieces, and each piece 12 yards, how many yards? Ans. 1200 yards. 7. In 408 yds. 3 qrs. of cloth, how many ells Flemish ? also, how many ells English? Ans. 545 E.Fl. 327 E.E. 8. In 4 bales of cloth, each 12 pieces, and each piece 24 ells English, how many yards and ells Flemish ? Ans. 1440 yards, 1920 ells Flemish. DECIMALS. Note. Observe the Notes in Troy Weight. EXAMPLES. 1. Reduce 3 qr. 2 na. to the decimal of a yard. EXAMPLES. 1. Reduce 27 A. 1 R. 32 P. into perches. Facit 4392 Per. 2. Reduce 4392 perches intò acres. Facit 27A. 1R. 32P. 3. Suppose one field to contain 6A. 2R. 36P. another 10A. and a third 12A. 1R. which are to be divided into shares of 76 perches each; query the number. Ans. 61 shares. 4. A tract of land, containing 1299600 square perches, is to be divided into 25 plantations; query the number of acres in Ans. 324A. 3R. 24P. each. DECIMALS. Note. Observe the Notes in Troy Weight. EXAMPLES. 1. Reduce 4 perches to the decimal of an acre. 5. What is the sum of .78A. and .67 of a rood? 1. In 19 hhds. of wine, how many pints? Ans. 9576pt. 2. Reduce 19152 pints to hhds. 3. In 11 barrels of beer, how many quarts? 4. How many dozen of gallon, quart, and pint bottles, each a like number, will be required to contain a cask of Madeira, whose content is 165 gallons? Ans. 10 dozen. Facit 38hhds. Ans. 1386qt. DECIMALS. Note. Observe the Notes in Troy Weight. EXAMPLES. 1. Reduce 1 pint to the decimal of a gallon, Ans. .125 gal. 2. Reduce 8 gal. 2 qts. to the decimal of a barrel, 3. What is the value of .125 of a gallon? 4. Ans. 26984+bar. .672 of a barrel? Ans. 21gal. 1.344pt. 1. In 17 bushels, 5 quarts, how many pints? Ans. 1098 pints. 2. In 5054 pints, how many bushels? Ans. 78bu. 3pe. 7qt. 3. In 4 granaries, each containing 65 bu. 1 pe. 6 qt. how many sacks will they fill, each to hold 5 bu. 2 pecks? Ans. 47 sacks, 3bu. 1 pe. over. DECIMALS. Note. Observe the Notes in Troy Weight. 1. Reduce 6 quarts, 1 pint, to the decimal of a peck., Ans. .8125 pec. 2. Reduce 3 pecks, 4 quarts, to the decimal of a bushel. 3. What is the value of .8125 of a peck? 4. What is the value of .875 of a bushel? Ans. .875bu. Ans. 6qt. 1pt. Ans. 3pe. 4qt. Facit 380160 m. EXAMPLES. 1. Reduce 37w. 5d. into minutes. 2. Reduce 24796800 sec. to weeks. 3. How many hours, minutes and seconds are there in a year? Ans. 8766h. 525960m. 31557600sec. 4. From the creation of the world, 4004 years before Christ, to the year 1790, inclusive, how many days have passed? DECIMALS. Ans. 2116258d, 12h. Note, Observe the Notes in Troy Weight. EXAMPLES. 1. Reduce 7 minutes to the decimal of a day. 2. Reduce 3 months, 1 week, 5 days, to 3. What is the value of .761 of a day? Ans. .00486+day. months. Ans. 3.42857+mo. Ans. 18h. 15m. 50.4sec, 4. What is the value of .3 of a year? Ans. 109d. 13h. 48m. 1. In 6 signs of the zodiac, how many minutes? Ans. 10800 min. Ans. 1296000 sec. 2. How many seconds are there in one complete revolution of any planet? (05) THE SINGLE RULE OF THREE. THE Single Rule of Three is that wherein three numbers or terms are given, two of which are of one kind, to find a fourth proportional number of the same kind, with the other given term: and this consists of two proportions, viz. Direct and Inverse. RULE FOR STATING. Of the two similar terms, set that in the first place which implies the supposition; that of the same kind with the term sought in the second place, and that on which the demand lies in the third place-Then, the first and third term be not of one denomination, reoth (if necessary) to the lowest in either, and the second lowest given denomination-Or, Reduce the first and third to a decimal of the same denomination, and the second to a decinal of the greatest, or a convenient denomination-Then, Consider whether the proportion be Direct or Inverse. Note. By annexing aliquot parts decimally, reductions are frequently avoided. DIRECT PROPORTION. Direct Proportion is that wherein the third term is greater than the first, and requires the fourth to be greater than the second; or the third less than the first, and requires the fourth to be less than the second-For, As often as the third term is greater or less than the first, so many times will the fourth be greater or less than the se cond-Thus, Yds. If 3. (20. 8. Yds. s. 69.. 18 more requiring more, 405.. 10 less requiring less. 2 |