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4. What number is that which being divided by 19, the quotient will be 72 ?
Ans. 1368 5. What number is that which being multiplied by 15, the product will be ?
6. There are 7 chests of drawers, in each of which there are 18 drawers, and in each of these there are six divisions, in each of which is 161. 6s. 8d.; how much money is there in the whole ?
Ans. £ 12348. 7. Bought 36 pipes of wine for 4536 dollars; how must I sell it a pipe to save one for my own use, and sell. the rest for what the whole cost? Ans. $129, 60cts. 8. Just 16 yards of German serge,
For 90 dimes had I;
Will 14 eagles buy? Ans. 248yds. Sgrs. 2 na. 9. A certain quantity of pasture will last 963 sheep 7 weeks, how many must be turned out that it will last the remainder 9 weeks?
Ans. 214. 10. A grocer bought an equal quantity of sugar, tea, and coffee, for 740 dollars; he gave 10 cents per lv. for the sugar, 60 cts. per lb. for the tea, and 20 cts. per lb. for the coffee; required the quantity of each ?
Ans. 822lb. 30%. 8 dr. 11. Bought cloth at $11 a yard, and lost 25 per cent. how was it sold a yard ?
Ans. 93fcts. 12. The third part of an army was killed, the fourth part taken prisoners, and 1000 fled; how many were in this army, how many killed, and how many captives ?
Ans. 2400 in the army, 800 killed, and
600 taken prisoners. 13. Thomas sold 150 pine apples at 33} cents a piece, and received as much money as Harry received for a certain number of water-mellons, which he sold at 25 cents a piece; how much money did each receive, and how many mellons had Harry ?
Ans. Each received $50, and Harry sold 200 mellons.
14. Said John to Dick, my purse and money are worth 91. 2s. but the money is twenty-five times as much as the parse; I demand how much money was in it ?
Ans. £8 15s.
15. A young man received 2101. which was of his elder brother's portion; now, three times the elder brother's portion was half the father's estate; what was the value of the estate ?
Ans. £1890. 16. A hare starts 40 yards before a grey-hound, and is not perceived by him till she has been up 40 seconds ; she scuds away at the rate of ten miles an hour, and the dog, on view, makes after her at the rate of 18 miles an hour: How long will the course hold, and what space will be ran over, from the spot where the dog started ?
Ans. 60, sec. and 530yds. space.. 17. what number multiplied by 57 will produce just what 134 multiplied by 71 will do ? Ans. 166.
18. There are two numbers, whose product is 1610, the greater is given 46; I demand the sum of their squares, and the cube of their difference ? Ans. the sum of their squares is 3341. The cube of
their difference is 1331. 19. Suppose there is a mast erected, so that of its length stands in the ground, 12 feet of it in the water, and of its length in the air, orabove water; I demand the whole length ?
Ans. 216 feet. 20. What difference is there between the interest of 500l. at 5 per cent. for 12 years, and the discount of the same sum, at the same rate, and for the same time?
Ans. 6112 10s. 21. A stationer sold quills at 11s. per thousand, by which he cleared of the money, but growing scarce raised them to 13s. 6d. per thousand; what might he dear per cent. by the latter price ?
Ans. £96 78. 3. d. 22. Three persons purchase a West-India sloop, towards the payment of which A advanced }, B , and C 1401. How much paid A and B, and what part of the vessel had ? Ans. A paid £ 267 ir, B £3054, and C's part of the
vessel was the 23. What is the purchase of 12007. bank stock, at 1084 per cent. ?
Ans. f1M 105. 84. Bought 27 pieces of Nankcom, each 1!! N
14s. 4 d. a piece, which were so. d at 18d. a yard ; ne. quired the prime cost, what it sold for, and the gain.
. s. do Prime cost, 19 s its ins. Sold fur, 25 5 9
(Gain, 3 17 7 : 25. Three partners, A, B and C, join their stock, and buy goods to the amount of £1025,5; of which A put in a certain sum; B put in.... I know not how much, and C the rest ; they gained at the rate of 241. per cent.: A's part of the gain is ), B's į, and C's the rest. Required each man's particular stock.
SA's stock was 512,75
(C's - 307,65 26. What is that number which being divided by , the . quotient will be 21 :
One-half, one-third, and three times three,
Ans. 66. 28. A gentleman divided his fortune among his three · sons, giving A 91. as often as B 51. and to c but 31. as
often as B 71. and yet C's dividend was 25841. ; what did the whole estate amount to?
Ans. £19466 2s. 8d. 29. A gentleinan left his son a fortune, 1 of which he spent in three months ; of the reniainder lasted hiin 10 muniths longer, when he had only 2524 dollars left; what did his father bequeath himn ?
Ans. 85889, 3Sets. +
pears, į plums, 40 of them peaches, and 10 cherries; how many trees dues the orchard contain: Ans, 600.
31. There is a certain number, which being divided by 7, the quotient resulting multiplied by 3, that product divleil uy ), from the quotient 20 being subtracted, and yawled to the renainder, the half sum sball make 65 ; 1999 tell me the number
32 What part of 25 is of an unit ?
33. If A can do a piece of work alone in 10 days, B in 20 days, C in 40 days, and D in 80 days; set all four about it together, in what time will they finish it ?
Ans. 51 days. 34. A farmer being asked how many sheep he had, answered, that he had them in five fields, in the first he had 4 of his flock, in the second 1, in the third 1, in the fourth t, and in the fifth 450; how many had he?
Ans. 1200. 35. A and B together can build a boat in 18 days, and with the assistance of C they can do it in 11 days; in what time would C do it alone ? Ans. 284 days.
36. There are three numbers, 23, 25, and 42; what is the difference between the sum of the squares of the first, and last, and the cube of the middlemost?
Ans. 13332. 37. Part 1200 acres of land among A, B, and C, so thać B may have 100 more than A, and C 64 more than B.
Ans. A 312, B 412, C 476., 38. If 3 dozen pair of gloves be equal in value to 2 pieces of holland, 3 pieces of Holland to 7 yards of satin, 6 yards of satin to 2 pfeces of Flanders lace, and 3 pieces of Flanders lace to 81 shillings; how many dozen pair of gloves may be bought for 28s. ?
Ans. 2 dozen pair. 39. A lets B have a hogshead of sugar of 18 cwt. worth 5 dollars, for 7 dollars the cwt. of which he is to pay in cash. B hath paper worth 2 dollars per ream, which he gives A for the rest of his sugar, at 21 dollars per ream; which gained most by the bargain ?
Ans. A by 819, 20cts. 40. A father left his two sons (the one in and the other 16 years old) 10000 dollars, to be divided so that each share, being put to interest at 5 per cent. might amount i equal sums when they would be respectively 21 years of age. Required the shares ?
Ans. 54544 and 4545 dollars. 41. Bought a certain quantity of broadcloth for S832
98. and if the number of shillings which it cost per yard were added to the number oi yards bought, the sum would be 586; I demand the number of yards bought, and at what price per yard ?
Ans. 365 yds. at 21s. per yard.
Solved by PROBLEM VI. page 183. 42. Two partners, Peter and John, bought goods to the amount of 1000 dollars; in the p::rchase of which, Peter paid more than John, and John paid....I know not how much: They then sold their gooils for really money, and thereby gained at the rate of 200 per cent. on the prime cost: they divided the gain between them in proportion to the purchase money that each paid in buying the goods; and Peter says to John, My part of the gain is really a handsoine sum of money ; I wish I hall as many such sums as your part contains collars, I should then have 8960000. I demand each man's particular stock in purchasing the goods.
Ans. Peter paid 600 dollars, and John paid 400. THE FOLLOWING QUESTIONS ARE PROPOSED TO
SURVEYORS. 1. Required to lay out a lot of land in forin of a long square, containing 3 acres, 2 roods, and 29 roils, that shall take just 100 rouls of wall to enclose, or fence it round; pray how many rous in length, and how many wide, inust said lot be ?
Ans. 31 rods in length, and 19 in breadth.
Solved by PROBLEM VI. page 185. 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 leuce 5 rails high; so that each rod of fence shall contain 10 rails. How large mut 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 ? Ans. the tract of land is 20 miles square; and
contains 256000 acres. Thus, 1 mile=320 rods : then 320 x 320-160=640 acres : and 320X4x10=12800 rails. As 640": 12800 : : 16800 : 256000 rails, which will enclose 256000 acres