148. 4fd. a piece, which were soll at 18d. a yard; rega the prime cost, what it sold for, and the rain. £. 19) 23 5 9 Gain, 3 177 S. 25. Three partners, A, B and C, join their stock, buy goods to the amount of £1025,5; of which April a certain sum; B put in...I know not how much, and the rest ; they gained at the rate of 241. per cent. : A's par of the gain is }, B's }, and C's the rest. Required ex man's particular stock. A's stock was 512,76 Ans. B's 205,1 C's 307,63 26. What is that number which being divided ty le thy quotient will be 21 ? Ars. 15 27. If to my age there adıled be, One-half, one-third, and three times three, Ans. 66. 28. A gentleman divided his fortune among his three sons, giving A 9. as often as B 51. and to Chrut 31. as often as B 71. and yet C's dividend was 2584l.; what did the whole estate amount to ? Ans. £19466 2s. 8d. 29. A gentleman left his son a fortune, of which he spent in three months; of the remainder lasted him 10 months longer, when he had only 2524 dollars left; pray what did his father bequeath him? Ans. $5889, 33cts. to. 30. In an orchard of fruit trees, ļ of them bear apples, pears, & plums, 40 of them peaches, and 10 cherries: how many trees does the orchard contain ? Ans, 600. 31. There is a certain number which being divided loy 7, the quotient resulting multiplied by 3, that product divided by 5, from the quotient 20 being subtracted, and 30 added to the remainder, the half sum shall make 65; can you tell me the number 3 Ans. 1400 Ansab What part of 25 is of a unit? 33. If A can do a piece of work alone in 10 day, B in C days, C in 40 days, and D in 80 days; set all fow about together, in what time will they finish it? Ans. 5. il nys. fir, 34. A farmer being asked how many sleep he beul, anwered, that he had them in five fields;. in the first le had of his flock, in the second , in the third , in the outb and in the fifth 450; how many had he ? Ans. 1?10. 35. A and B together can build a boat in 18 day, and how with the assistance of C they can do it in 11 days ; in what urce linic would C do it alone? Ans. 23 dys. Brest 36. There are three numbers, 23, 25, and 42; what is the ek war diference beween the suin of the squares of the first anul -- last, and the cube of the middlemost? Ans. 133. :37. Part 1200 acres of laud among A, B, and C, st thai lividedly B may have 100 more chan A, and Č 64 more than B Ans. d 312, B 4:2, C 41 . teen 38. If 3 dozen pairs of gloves be equal in value to 2 pices of Holland, 3 pieces of Holland to 7 yards of satin, 6 y irils dable of satin to 2 pieces of Flanders lace, and 3 pieces of Flanhis ders Ince to 81 shillings; how manv dozen pairs of gloves m2. may be bought for 283. ? Ans. 2 dozen pairs 39. A lets B have a hogshead of sugar of 18 cwt., wc rih 3 dollars, for 7 dollars the cwt. ☺ of which lie is to pay in tash. B hath paper worth 2 dollars per ream, which lie gives A for the rest of his sugar, at 21 dollars per ream; = left; which gained most hy the bargain ? Ans. A by $19 20 cts. Epar apps 40. A father left his two sons (the one 11 and the other ( years old) 10,000 dollars, to be divided so that each shalie being put to interest at 5 per cent. might amount to equal Hums when they would be respectively 21 years of age. Required the shares ? Ans. 5454 and 4515 '1 dollars. II. Bought a certain quantity of broadcloth for 3831. ided lor' ci din 1400 5s. and if the number of shillings which it cost per ye were added to the number of yards bought, the sum wad be 386; I demand the number of yards bought, andt what price per yard? Ans. 365 yds. at 21s. per yard Solved by Problem VI. page 171. 42. Two partners Peter and John, bought goods to a amount of 1000 dollars ; in the purchase of which, Pen paid more than John, and John paid..... I know not bo' inuch: They then sold their goods for ready money, ay thereby gained at the rate of 200 per cent. on the prin cost : they divided the gain between them in proportion the purchase money that each paid in buying the good: and Peter says to John, My part of the gain is reallye handsome sum of money ; I wish I liad as many such sumi as your part contains dollars, I should then have $960,000. I deinand each man's particular stock in purchasing the goods. Ans. Pcter paid $600 and John paid $400. THE FOLLOWING QUESTIONS ARE PROPOSED TO KURVEYORS: 1. Required to lay out a lot of land in form of a lon: square, containing 3 acres, 2 roods and 29 rods, that shal take just 100 rods of wall to enclose, or fence it sound; pray how many rods in length, and how many wide, musi said lot be? Ans. 31 rods in length, and 19 in brcailth. Solved by Problem VI. page 171. 2. A tract of land is to be laid out in form of an equal square, and to be enclosed with a post and rail fence, 5 rails high; so that each rod of fence shall contain 10 rails. How large must this noble square be to contain just as many acres as there are rails in the fence that encloses it, so that every rail shall fence an acre ? Ars, the tract of land is 20 miles square, and contains 256,000 gores. Thus, I mile=320 rods: then 320 x 320 = 160=640 acres : and 320 x 4x10=12,800 rails. As 640 : 12,800 : : 12,800 : 256,000, rails, which will enclose 256,000 acres 20 miles square. AN APPENDIX, CONTAINING SHORT RULES, FOR CASTING INTEREST AND REBATE: TOGETIIER WITH SOM USEFUL RULES, FINDING THE CONTENTS OF SUPERFICES, SOLIDS, &c. SHORT RULES, LOR CASTING INTEREST AT SIX PER CENT. 1. Co find the interest of any sum of shillings for any number of days less than a month, at 6 per cent. RULE. 1. Multiply the shillings of the principal by the number of Jays, and that product by 2, and cut off three figures to the right hand, and all above threc figures will be the interest in pence. 2. Multiply the figures cut off by 4, still striking off three figures to the right hand, and you will have the farthings, very nearly, EXAMPLES S. 1. Required the interest of 5l. 8s. for 25 days. Ans. 5d. 1,6973. 2. What is the interest of 211. 25. for 29 days? Ans 23. Od. 2 qrs. FEDERAL MONEY. II. To lid the interest of any number of cents for ap namer of days less than a month, at 6 per cent. RUI.E. Multiply the cents by the number of days, divide the pro duct by li, and point off' two figures to the right, and all the figures at he left hand of the dash, will be the interest it mills, neat y. EXAMPLES. Requires the interest of 85 dollars, for 20 days. $ cts. mills. 85=85101 X 20---0=283,33 Ans. 283 which is 28 cts. 3 mills. 2. W111 is the interest of 73 dollars 41 cents, or 7341 cents, for 2 days, at 6 per cent. ? Ans. 330 mills, or 33 cts. III. When the principal is given in pounds, shillings, &e New: Fugland currency, to find the interest for any mini ber of diris, less than a month, in Federal Money. RULE. Multi, ly tl e shillings in the principal by the number of lays, and divide the product by 36, the quotient will be the interest in mills, for the given time, nearly, omittin, l'actions EXAMPLE. Requii ed lle interest in Federal Money, of 271. 15s, foi 27 days, illi jer cent. Ans. 27 15=555 x 27-36-410 mills.=41 cts. Om. IV. When the irincipal is given in Federal Money, and you want th: interest in shillings, pence, &c. New-Eng. lund currency for any number of doys less than a mont) |