Ans. 12096 pints. Ans. 1930 qts. Ans. 380 pints. Ans. 2022 pints. Ans. 19260 qt. 5. In 6 tuns how many pints. Ans. 10707 pints. LONG MEASURE. 1. Reduce 27 feet to inches. 12 Ans. 324 Inches. 2. Bring 48 yards to feet. 3. Reduce 27 poles to yards. 4. Bring 18 furlongs to poles. 5. Reduce 34 miles to furlongs. 6. Reduce 108 leagues to miles, 7. Bring 17 miles to poles. 8. Bring 20 miles to yards." 9. In 6 leagues, how many inches. 10. Reduce 14 feet 9 inches to inches. 11. Bring 37 yards 1 foot to feet. 12. Bring 112 furlongs 29 poles to 33. Reduce 450 miles 6 furlongs 32 14. In 2 leagues 1 mile 3 furlongs 10 inches, how many inches? Ans. 144 feet. Ans. 148 yards. Ans. 720 poles. Ans. 272 fur. Ans. 324 miles. Ans. 5440 poles. Ans. 35200yards. Ans. 1140480 in. Ans. 177 in. yards. Ans. 1872 grains. 2. Reduce 116 ounces to pennyweights. Ans. 2320dwt. G 3. In 25 pounds how many grains. Ans. 144000gr. 4. Bring 29oz. 16dwt. to pennyweights. Ans. 596dwt. 5. How many grains are there in 1976. 11oz. 14dwt. 21gr. TIME. 1. Bring 30 minutes to seconds. 2. Reduce 12 hours to minutes. 3. Reduce 12 years to months. Ans. 115077gr. 4. Reduce 3 days 5 hours 29 minutes to minutes. Ans. 4649 minutes. MOTION, OR CIRCLE MEASURE. 1. Reduce 24 degrees to minutes. 2. In 24 signs how many seconds. Ans. 1440'. Ans. 2592000". 3. Rednce 17 signs 12 degrees to degrees. Ans. 522 degrees. 4. How many seconds are there in 4 signs 3 degrees 18 Ans. 443907 seconds. minutes 27 seconds? PROMISCUOUS EXAMPLES. Ans. 3500. 1. In 35 dollars how many cents? Ans. 12 M. 2 fur. 2. How many weeks are there in 365 days? Ans. 52 weeks 1 day. Ans. 42 cents. 4. In 84 half-cents how many cents? Ans. 175 Cwt. 6. How many square perches are there in 63 roods? Ans. 2520 square perches. 7. How many pounds in 157s.? 8. In 175 pecks how many bushels ? Ans. 71. 17s. Ans. 43bu. 3pe. 9. In 7642 cents how many dollars? Ans. 76dol. 42cts. 10. In 103 pints how many quarts? Ans. 51qt. 1pt. 11. How many minutes are there in 720 seconds. Ans. 12 minutes. 12. In 7 hogsheads 33 gallons how many gallons? Ans. 474 gallons, 13. How many ells English are there in 100 quarters of a yard? Ans. 20E.E. Ans. 5oz. 8dwt. 14. In 108 dut. how many ounces? Ans. 127. 10s. 16. How many scruples are there in 7 drams? Ans. 21sc. Ans. 104d. Ans. 29 weeks. 17. How many pence are there in 8s. 8d.? 18. In 203 days how many weeks? 19. How many nails are there in 16 quarters of a yard? Ans. 64 nails. 20. In 74 drams how many ounces Avoirdupois ? Ans. 4oz. 10dr. 21. How many three-pences are there in 13s.? Ans. 52. Ans. 400 Cwt. 22. How many Cut. in 20 tons? Ans. 16E.Fr. 1qr. 24. In 21 gallons 3 quarts 1 pint, how many pints? Ans. 175 pints. 25. How many furlongs are there in 3M. 1fur. Ans. 25 furlongs. 26. How many dollars are there in 1235 cents. Ans. 12dol. 35cts. 27. How many minutes are there in 3 days? Ans. 4320 minutes. 28. In 121 cents, how many quarters of a cent? Ans. 484 quarters. 29. In 13 pounds Avoirdupois, how many drams? Ans. 3328 drams. 30. How many ells Flemish are there in 154 quarters ? Ans. 51E.Fl. 1gr. 31. How many pounds are there in 2461dwt.? Ans. 10lb. 5oz. 1dwt. 32. In 12yd. 2qr. Ina. how many nails? 33. In 584621 gallons, how many tuns? Ans. 2319T. 1 pi. 1hhd. 44gal. 34. How many drams are there in 725lb. 6oz. avoirdupois? Ans. 185696dr. 35. How many Cwt, are there in 275521b.? Ans. 246 36. How many farthings are there in 51. 4s. 64d. Ans. 5017 farthings. 37. In 763 days, how many weeks? Ans. 109 weeks. 38. How many pence are there in 85! 10s. 7d.? 39. In 1220 grains how many drams? Ans. 5E.E. 2qr. 41. How many bushels are there in 1357 pints? Ans. 21bu. Ope. 6qt. 1pt. 42. How many acres are there in 8654 square perches ? Ans. 54A. OR. 14P. PROPORTION, OR THE SINGLE RULE OF THREE. By the rule of Proportion or Rule of Three, we ascertain the proportion which numbers bear to each other. It is called the Rule of Three, because there are three terms given to find a fourth. 1, Rule for Stating. 1. Place that term in the third place which is of the same name or kind with that in which the answer is required. 2. Consider whether the answer ought to be greater or less than the third term. 3. If the answer ought to be greater than the third term, set the greater of the two remaining numbers on the left for the second term, and the remaining number to the left of the second for the first term. 4. But if the answer ought to be less than the third term, set the least of the two remaining numbers in the second place, and the greater in the first place.. Having thus prepared the question, you may proceed to perform the operation by the following Rule. 1. Reduce the third term to the lowest denomination mentioned in it. 2. Reduce the first and second terms to the same denomination, and to the lowest denomination mentioned in either of them. 3. Multiply the second and third terms together, and divide the product by the first term; the result will be the fourth term or answer in the same denomination to which the third term was reduced. 4. Reduce the fourth term or answer to that denomination in which the answer is required. Note. By this rule no distinction is necessary between direct and inverse proportion. The foregoing rule for stating is very much to be preferred to that which has formerly been in general use, and is likely soon to be universally adopted. But as there may be some who give a preference to the former mode of stating, the following is given that it may be used by those who prefer it. 2. Rule. 1. Set that term in the first place which is of the same name with the term of demand, and that term in the second place which is of the same name with that in which the answer is required, and the term of demand in the third place. 2. Consider from the nature of the question whether the proportion is direct or inverse. The proportion is direct when the third term is greater than the first, and the nature of the question requires that the fourth term should be greater than the second. The proportion is inverse when the third term is more than the first, but the nature of the question requires that the fourth term should be less than the second. 3. Reduce the first and third terin to the same denomination, and to the lowest denomination mentioned in either, and the second term to the lowest denomination mentioned in it. 4. Multiply the second and third terms together, and the product will be the fourth term or answer in the same densmination with that to which the second term was reduced. |