money; Rebate being made at 6 per Cent? Ans. 2137. 11s. icd.+ 102. A Factor bought 4 chests of sugar, the mark and weight as follows: A B C D C. qrs. lb. Now suppose the Tare or Weight of every chest, when it is empty, to he 381b. I demand the neat weight of the said Sugar. I also demand the prime cost of the same, supposing it came to 18s. per C. including the charges of lighterage, porterage, wharehouse-room, custom, &c. also I demand the whole gain; and the gain per cent. supposing the chests A and B were sold afterwards at 28s per cent. and the other two chests, viz. C and D, at 4d per lb. 1. S. d. They cost the sum of threescore pounds. The harness came to half of th' horse, And if you find the price of them Aus. Chaise Horse 15l. 104 A Gentleman courted a young Lady, and as their birth days happened together, they agreed to make that their wedding-day. On the day of marriage it happened that the gentleman's age was just double to that of the lady's that is, as 2 to 1. After they had lived together 30 years, the gentleman observed, that his lady's age drew nearer to his, and that his was only in such proportion to her's as 2 to 3 Thirty years after this. the same gentleman found his and his lady's ages to be as near as 2 to 13 at which time they both died. I demand their several ages at their day of marriage, and of their death: also the reason why the lady's age, which was continually gaining upon her husband's, should notwithstanding be never able to overtake it? 1. A SHORT COLLECTION OF PLEASANT AND DIVERTING A QUESTIONS. GENERAL having a castle situate on a square, and garrisoned by 48 Soldiers, so ordered them, as that any two corners, and the side between them, should consist of 18 men; but he thinking there were not men enough, hired 8 more, but still kept up the same number of 18 men as before, afterwards 16 men were paid off, he not having occasion for them; but yet he kept up his number of 18 men. I demand how he must place the said men, to make 18 every way, when he had 48 56 and 40 soldiers! 2. A poor woman carrying some eggs to market, met with a rude fellow, who broke them all; but presently after considering what he had done, went back and told the woman he was willing to make satisfaction provided she could tell how many there were, she answered, she could not tell; but the best account that she could give, was, that when she told them in by two at a time, there was one left, when by three, there was one left, and when by four there was one left, but when she told them in by five there was none left. I demand how many eggs the woman had. 3. A gentleman's servant went to market with an order to buy 20 fowls for 20d. he did so; and brought home pigeons at 4d apiece larks at a halfpenny a-piece, and sparrows at a farthing apiece; I demand how many there were of each sort? 4. Suppose the 9 digits to be placed in a quadrangular form; I demand in what order they must stand, that any three figures in a right line may make just 15? 5. Let 12 be set down in 4 figures, and let each figure be the same. 6. A countryman having a fox, a goose, and a peck of corn, in his journey came to a river, where it so happened that he could carry but one over at a time! Now, as no two were to be left together hat might destroy each other; so he s at his wits end how to dispose of them; for, says he, though the corn can't eat the goose, nor the goose eat the fox, yet the fox can eat the goose, and the goose eat the corn. The question is, how he must carry them over that they might not devour each other? 7. Three jealous husbands with their wives, being ready to pass by night over a river, do find at the water side a boat which can carry but two persons at once, and for want of a waterman, they are necessitated to row themselves over the river at several times; the question is, how these 6 persons shall pass by 2 and 2, that none of the three wives may be found in the company of one or two men unless her husband be present? Wingate. 8. Two merry companions are to have equal shares of 8 gallons of wine which are in a vessel containing exactly 8 gallons; Now to divide it equally between them, they have only two other empty vessels, of which one contains 5 gallons, and the other 3. The question is, how they shall divide the said wine between them by the help of these 3 vessels so that they may have 4 gallons a-piece? Wingate. 9 Says Jack to his brother Harry, I can place four 3's in such a manner that they shall make just 34; can you do so too? THE SCHOOLMASTER'S ASSISTANT. PART. V. OF DUODECIMALS. Q. WHAT are Duodecimals? A. They are Fractions of a Foot, or of an inch, or any part of an inch, having 12 for their Denominators. NOTATION OF DUODECIMALS. Q. How do you write Duodecimals ? F. I." A. Thus ; 3 7 2 3 7, &c. Q. How do you read them? A. Thus; 3 Feet, 7 Inches, 2 Seconds, 3 Thirds, 7 Fourths, &c. Note 1. Some call the Inches Prime, and make thus, 7'. 2. Though this manner of dividing and subdividing a foot is endless, yet it is only so in imagination, and cannot be reduced to practice, because a second, or the twelfth part of an inch, is so small, as to be incapable of any farther division. A Joiner having finished several very curious pieces of workmanship, would know the content of the whole. Now the first piece measured seventeen feet, ten inches, two seconds, and one third; the second measured twenty feet, four inches, and seven thirds; the third forty-nine feet, six inches, and nine seconds; the fourth fourscore feat, and ten seconds; the fifth seventeen feet, and four thirds; the sixth threescore feet, and ten seconds; and the seventh thirty-seven feet, and nine thirds; what was the content in Square measure? A Joiner having lined several rooms very curiously with redar, finds the amount to be, in Square Measure 800 F. 3 I. 4′′. but several deductions being to be made for windows, arches, etc. those deductions amounted to 70 F. 3 I. 7. 5. How many feet of workmanship must he be paid for? MULTIPLICATION OF DUODECIMALS, COMMONLY CALLED CROSS MULTIPLICATION. Note, Feet multiplied by feet give feet, EXAMPLES. 1. Of Feet and Inches. F. I. 3 4 7 Multiply 7 29 4 0 29 1 Here I multiply the 7f 3i first by 4 feet (which give feet and inches for the product) saying 4 times 3 is 12, set down 0 and carry 1: then 4 times 7 is 28, and 1 is 29, which set down. 2 Next I multiply the same 7f 31 by 7 inches, (which give inches and seconds for the product) Product 33 2 9 saying 7 times 3 is 21, set down 9 seconds, and carry 1 inch then 7 times 7 is 49 and 1 is 50 in-. ches, or 4 feet, 2 inches, which set down, then add them together, and the whole is 33f 21 9 sec. The truth of any one of these operations may be proved by reducing the factors into inches, and dividing their product by 144, the number of square inches in a foot square, the quotient will be the answer, viz. |