1 From 50L. 2M. 1fur. take 19Z. 18p. 4yds. facit 31L. 2M. 21P. Tyd & 2 Two persons, B and C, being 327 miles distant, and intending to meet, journey as follow: B travels the first day 21 M. 5fur. the second 40M. 26P. the third but 5 M. 4fur. C goes the first day 60 M. the second 57M. 35P. the third 52M. 6fur how many miles have each travelled, and how far are they then asunder? M. fur. P. B 67 1 26 facit 105E. 39r. zna, 2. From 856yds. take 200yds. 2qr. Ina. lin. facit 655yds. 1gr. zna, vin. 3 From 4 pieces of cloth, each 27yds. 2gr. 3na. having cut 87yds. 3gr. 3na. how many yards are left? answer 22yds. 3gr. Ina. 4 Bought 4 Bought 3 pieces of cloth, each containing 42yds. of which were sold one piece, and 27yds. 1qr. zna. of another; what quantity remains? answer 56yds. 2gr. 2na. 1 From 7804. 2R. take 3964. 3R, 15P. facit 3834. 2R. 25P. 2 If a tract of land, containing 47804. 3R. 30P. be divided among three persons A, B and C, viz. A to have 17844. 3R. 24P. B 16584. 2R. 36. query C's share? facit 13374 IR. IOP. 3 A man purchased these several tracts of land, viz. 474. 1744. 37P. 200.4. 3R. 4704. 3. and sold thereof 3co. 27P. and at a second sale 2754. what quantity has he left? answer 3174. 2R. 10r, Application. From two tuns of wine, take 3hhds. 15gal. 3qt. facit 1Tun 47gal. 19. 2 Bought several vessels of cider, containing 10007gal. of which 4005gal. 2qt. 1pt. were sold; what quantity is remaining? answer 6coigal. iqt. 1pt. 3 Bought of A 174gal. 3qt. of wine of B twice as much, and 7gal. 1pt. of C as much as from A and B both; of of which were sold to D 197gal. p.; to E three times as much, 10gal. 34t. Query the remainder ? facit 263gal. 2qt. facit &bu. 2P. 7qt. 1pt. 2 What is the difference between 1000bu. 7gt. and 734bu. answer 265bu. 3P. 2qt. JP. 5.qt. 3 Out of a granary containing 50obu. taking 375bu. 2P. 67. what quantity must remain ? TIME. answer 124bu. ip. 2gt. 1 From 200 years, take 983. 3m. 8h. 10sec. facit 101y. 9m. 3w. 6d. 15h. 59m. 50sec. 2 An indented servant had six years to serve: and when he had continued 53. 8m. 3w. 4d. query the remainder of his time? facit 4m. 3d. 3 Jacob by contract was to serve Laban for his two daughters 14 years; and when he had accomplished 11y. fim law rid. the remaining time is required? facit 1y. 11lun.m. 3. 3d. Tinarval of time, according to the calendar, between two nay be ufefully and eafily obtained, thus: Subtract the the prior date from the latter; borrowing as many days as make the month in the fubtrahend, and mentally adding 12 to that of the minuend, when neceffary; carrying one, in either cafe, to the next name as ufual. 2. When one of the dates is in the o'd ftile, and the other in the new, eleven days must be taken from the difference. 4 How much older is Jesse than. Anna, his birth being on the 20th of the 12th month, 1778, and her's the 10th of the 8th month, 1783? r. m. d. 1783 8 10 1778 12 20 answer 4 7 21 5 A was born the 21st day of the 2d month, 1765; B the 9th of the 4th month, 1771; what is the difference of their ages? 6 A bond was given the 22d of the second month, 1807, answer 6y. Im. 16d. and taken up the 12th of the tenth month, 1809; for what time must interest be computed thereon? answer 2y. 7m. 18d. 7 A was born the 26th day of the second month, 1795; B, on the 21st of the ninth month, 1797; C, on the 25th of the twelfth month, 1798 what is the difference of the ages of A and B; of B and C; also of A and C ; -and when will they respectively be 21 years of age? difference 1. m. d. A & B 2 6 23 A on the 26th of the 2d month, 1216. 8 A was born on the 13th day of the sixth month, 1746, old stile; B on the 16th of the sixth month, 1764, new stile; what difference is there in their ages, and how old was each man on the 1st day of the year, 1790? answer Difference 17y. 11m. 22d. A's age 439. 6m. 7d. B's age 6in. 253. 6m. 5d. D ΜΟΤΙΟΝ, Application. 1 From 7sig. 21° 17′ 51′′ take 3sig. 12° 51' 57". facit 4sig. 8° 25′ 54′′ 2 When a planet has moved through 9sig. 9° 9′ 9′′ of its orbit, how much is it short of a complete revolution? answer 2sig. 20° 50′ 51′′. COMPOUND MULTIPLICATION. COM COMPOUND Multiplication teaches to multiply num bers or quantities consisting of divers denominations: also, to find the amount of any quantity at the given price of an integer. GENERAL RULE. Place the Multiplier under the lowest denomination of the given quantity; then multiply it as in integers, and divide the product by as many of this denomination as will make one of the next greater; set down the remainder (if any) underneath, and add the quotient to the product of the next denomination, and so proceed. Note. In multiplying money, the learner may be taught to perform it without ufing divifion. by having the pence table perfectly committed to memory, and multiplying the fhillings as integers, carrying half the number of tens to the product of pounds, and prefixing the odd ten (if any, to the units place under fhillings. PROOF. Multiply double the compound quantity or price by half the multiplying integers; or half the former by double the latter; or invert the multipliers when more than one. |