14s. 4 d. a piece, which were sold at 188. a yard ; req the prime cost, what it sold for, and the gain.

25. Three partners, A, B and C, join their stock, a buy goods to the amount of £1025,5; of which A put 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 ea man's particular stock.

A's stock was 512,73

26. What is that number which being divided by 3, the

quotient will be 21?

27. If to my age there added be,
One-half, one-third, and three times three,
Six score and ten the sum will be;
What is my age, pray show it me ?

Ars. 157.

Ans. 66,

28. A gentleman divided his fortune among his three sons, giving A 91. as often as B 5l. and to C but 37, 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 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. + *

30. In an orchard of fruit trees, 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 by 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?

Ans. 1400

2. What part of 25 is of a unit?

2

Ans

33. If A can do a piece of work alone in 10 days, B in C days, C in 40 days, and D in 80 days; set all four about together, in what time will they finish it? Ans. 51⁄2 l rys.

34. A farmer being asked how many sheep he he, anwered, that he had them in five fields;, in the first be had of his flock, in the second, in the third, in the ourth 1⁄2, and in the fifth 450; how many had he? Ans. 100. 35. A and B together can build a boat in 18 days, with the assistance of C they can do it in 11 days; ime would C do it alone?

!, and

what

Ans. 28 dvys.

36. There are three numbers, 23, 25, and 42; what ́s the difference between the sum of the squares of the first aud last, and the cube of the middlemost? Ans. 1332.

B

37. Part 1200 acres of laud among A, B, and C, so that may have 100 more than A, and C 64 more than B Ans. A 312, B 412, U 47 3.

38. If 3 dozen pairs of gloves be equal in value to 2 pi ces of Holland, 3 pieces of Holland to 7 yards of satin, 6 У irds of satin to 2 pieces of Flanders lace, and 3 pieces of Flanders lace to 81 shillings; how many dozen pairs of gloves may be bought for 28s.? Ans. 2 dozen pairs,

39. A lets B have a hogshead of sugar of 18 cwt., worth 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 24 dollars per reain; which gained most by the bargain? Ans. A by $19 20 cts.

40. A father left his two sons (the one 11 and the other C years old) 10,000 dollars, to be divided so that each share being put to interest at 5 per cent. might amount to equal Homs when they would be respectively 21 years of age. Required the shares? Ans. 5454o, and 4545 dollars.

41. Bought a certain quantity of broadcloth for 3831.

5s. and if the number of shillings which it cost per y were added to the number of yards bought, the sum w be 386; I demand the number of yards bought, andt what price per yard? Ans. 365 yds. at 21s. per yari 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, Pea paid more than John, and John paid.....I know not ho inuch They then sold their goods for ready money, 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 really handsome sum of money; I wish I liad as many such sum as your part contains dollars, I should then have $960,000. I demand each man's particular stock in purchasing th goods. Ans. Peter paid $600 and John paid $400.

THE FOLLOWING QUESTIONS ARE PROPOSED TO SURVEYORS!

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, said lot be? Ans. 31 rods in length, and 19 in brealth. Solved by PROBLEM VI. page 171.

must

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?

Ans. the tract of land is 20 miles square, and contains 256,000 acres.

Thus, 1 mile=320 rods: then 320×320÷160=640 acres and 320 × 4 × 10=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

ASTING INTEREST AND REBATE:

TOGETHER WITH SOMP

USEFUL RULES,

FINDING THE CONTENTS OF SUPERFICES, Solids, &c.

SHORT RULES,

FOR CASTING INTEREST AT SIX PER CENT. To 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 days, and that product by 2, and cut off three figures to he right hand, and all above three figures will be the interest n pence.

2. Multiply the figures cut off by 4, still striking off hree figures to the right hand, and you will have the farthings, very nearly.

EXAMPLES.

1. Required the interest of 51. 8s. for 25 days.

5,8-108× 25x2=5,400, and 400 × 4=1,600.

Ans. 5d. 1,6qrs.

2. What is the interest of 217. 3s. for 29 days?

Ans 2s. Od. 2 grs.

FEDERAL MONEY.

II. To find the interest of any number of cents for a num er of days less than a month, at 6 per cent.”

RULE.

Multiply the cents by the number of days, divide the pro duct by 6, 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.

Required the interest of 85 dollars, for 20 days.

mills.

Ans. 283 which i 28 cts. 3 mills.

2. What 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 England currency, to find the interest for any num ber of days, less than a month, in Federal Money.

RULE.

Multi ly the shillings in the principal by the number of days, and divide the product by 36, the quotient will be the interest in nills, for the given time, nearly, omittin, fractions

EXAMPLE.

Requied the interest in Federal Money, of 271. 15s. for 27 days, 6 per cent.

Ans.

15±555 × 27-36-416 mills.-41 cts. 6m.

IV. When the principal is given in Federal Money, and you want the interest in shillings, pence, &c. New-Eng land currency for any number of days less than a monil