30. A has linen cloth, worth $,20 per yard, but, in bartering he will receive $,30; B has broadcloth, worth $4,60 per yard, ready money at what price ought B to rate his broadcloth, to be in proportion with A's bartering price?

$,20 $4,60 :: $,30 : $6,90, Ans. Or, multiply $,30 by the ratio of 20 to $4,60, that is, 23; thus, 23 X 30= $6,90; for, $4,60 being 23 times as much as 20, it is plain that 23 times $,30, A's bartering price, will give B's bartering price, A. $6,90.

31. A merchant, in bartering with a farmer for wood at $5 per cord, rated his molasses at 25 dollars per hhd., which was worth no more than $20; what price ought the farmer to have asked for his wood to be equal to the merchant's bartering price? A. $6,25.

The last ten examples are proper questions in a rule usually called Barter.

32. What number is that, which, being multiplied by 15, will make? A. zo.

33. What number is that, which, being divided by 15, will make? A. .

34. What decimal is that, which, being multiplied by,625, will make,25? A.,4.

35. At $,75 per bushel, how much rye can be bought for $150? (200) For $600? (800) For $75? (100) A. 1100 bushels. 36. (800+12+88)+(50-5)= how many ? A. 20.

37. (18 + 144) ÷ (3,55,-55)= how many? A. 2}.

38. Two persons depart from one place at the same time; the one travels 35, and the other 40 miles a day; how far are they distant at the end of 10 days, if they both travel the same road? and how far, if they travel contrary directions? A. 50,

and 750 miles.

39 Two men, A and B, traded in company; A put in $700 for 8 months, and B $1280 for 10 months; they gained $500: what was the share of each? A. A's share, $152,173; B's share, $347,826+

40. How many cord-feet of wood are contained in a load 8 feet long, 4 ft. 6' wide, and 5 ft. 3' high? A. 1118 ft. or 11 ft. 9′ 9′′. 41. What is the difference in time between two places, whose difference of longitude is 40°? (2,40) 50°? (3,20) 60°? (4) Ꭿ. 10 h.

42. What time is it in 150 W. longitude, when it is G o'clock in 15° E. longitude? A. 4 o'clock.

43. If a cow yield 16 qts. of milk in a day for 240 days, and 20 qts. make 1 pound of butter, or 10 pounds of cheese, how much more profitable is the making of cheese than butter, the price of butter being 25 cts. per pound, and that of cheese 81 cts. per pound? A. $110,40.

58. In what time will he travel over 1° (deg A. 1 of 1 hour, or

of 60 59. In what time will he travel over 1' (minu

A. 5 of 1 min., or of 60 sec., =

Q. By the foregoing we see that every degree of motion in time of 4 minutes, and every minute of motion a differ Now, since longitude is reckoned in degrees, round the eart how to find the difference in time between one place and anot their difference in longitude? A. Multiply the differen in degrees and minutes by 4, the product will be th in time, in minutes and seconds.

60. What is the d.dference in time between two pl difference in longitude is 2° 4' ? A. 2° 4' x 4 = 81 16 seconds, the difference in time.

61. What is the difference in time between two plac difference in longitude is 5° 10? A. 20 m. 40 sec. when the difference of longitude is 80? A. 32 m. Is 15°? A. 60 m. 1 hour. Is 15° 15'? A. Q. The sun travels from east to west: which place, then, will hav liest time? A. The one most easterly.

A. 40 m.

62. There are two places, the one situated in 10° E. lo and the other in 4° E. longitude; what is the difference between these two places? When it is 24 minute o'clock in the former, what hour is it in the latter? utes, difference in time; then, 100 being the most easterly place, minutes earlier than at 40; that is, when it is 24 minutes past 6 a 6 at 40.

63. Boston is situated about 6° 40′ E. longitude of Washington; when it is 2 o'clock at Wash. o'clock is it at Boston? A. 26 m. 40 sec. past 2 o

64. "I recollect of reading a story once of a ge to a foreign country, who had a fancy to look at every evening, at the same moment, with a certa he left behind, and they agreed to look at it at 9 it seems that, when the gentleman was in a dif the time would, of course, be different; as, fo he was in longitude differing 30° W. from wh she most probably had retired to rest, and was while he was gazing at the star. Can you tel When he wa it was, then, where she was? tude from her, what hour of the night was it the lady resided?

Exercises for the Slate.

1. Write down three millions, three hundr sand, three hundred and three.

2. What is the difference between 50 ea A $40,10.

44. If a field will feed 10 cows four weeks, how long will " feed 40 cows? A. 1 week.

45. A man bought a cask of wine, containing 126 gallons for $315, and sold it at the rate of $2,75 per gallon; how mück was his whole gain? how much per gallon? and how much A. His whole gain, $31,50; per gallon, $,25; then, 01 per cent.

per cent.?

,25

2,50

46. The rent of a certain farm is $500; the tenant employs 2 men; to each he pays $115 a month for 8 months; (184) also a boy by the year, who is to have 2 suits of clothes, each worth $8,75 (1750), besides his board, while attending school,3 months, or 12 weeks of the year, which is worth $,93 per week (1116), in the course of the year, the tenant loses 40 good merino sheer, valued at $5 per head (200); the skins brought him $1,124 apiece (45); the other expenses of the year are calculated to average about $,39 (14235) per day; the sales of the farm are as follows, viz :

·

400 pounds

Merino Wool,

$0,45

pound (180)

and 20 calves, at $43 per head (90); he carries 70 barrels of c der to the distillery, for one half of which he is to receive I t of cider-brandy for 4 qts. of cider, the rest brings him $1,13 per barrel (3955); how much cider-brandy will he receive? and how much will he clear, after deducting all the expenses of managing the farm, including the rent and loss, from the tota amount of sales? A. $1335,97; 1102 qts. cider-brandy.

47. What difference is there between the compound interest of $10000 for 8 years, and the simple interest of the same sur for the same time? A. $1138,48.

48. What is the difference between the compound interes of $500 for 4 years, and the discount of the same sum for the same time? A. $34,463.

49. What is the difference between the amount of $1800, a compound interest, for 3 years, and the present worth of the same sum, for the same time? A. $618,405.

50. If 120 gallons of water, in one hour, fall into a cister containing 600 gallons, and, by cne pipe in the cistern, 35 gai

ons run out, and, by another pipe, 65 gallons run out, in what time will the cistern be filled? A. 30 hours.

51. A certain clerk, in a country store, purchased the who stock in trade, the quantity and price being as follows:

By agreement, 15 per cent. was to be deducted from the nount of stock. For the above goods, the clerk has paid as