more profitable is the making of cheese than of butter, the price of butter being 25 cts. per lb. and that of cheese 8 cts. per lb. A. $110,40 cts. A tenant gave for the rent of a certain farm $500, employed 2 men for 8 mo. at $11 a month each; and a boy by the year, and gave for his services 2 suits of clothes worth $8,75 a piece, and sent him to school 3 months of said time, the expense of which was 93 cts. per week; lost 40 good merino sheep which cost $5 per head, received for their skins $1,123 apiece; other expenses will average about 39 cents a day for the year; and he sold all the products of the farm as follows, viz. 1000 bu. potatoes 150 do. barley at ,42 cts. per bu. 16 do. white beans "2,20 66 66 " (scarce.) 66 418 do, buckwheat " ,38 cts. and 20 calves at $44 per head; carried 70 barrels of cider to the distillery, for one half of which he was to receive 1 qt. of cider brandy for 4 qts. of cider, the rest brought him $1,13 a barrel; what were the profits of the year, and how much cider brandy did he receive? A. $1338,97cts. profit of the year, and received 1102 qts. of cider brandy. A certain clerk in a country store, purchased the whole concern, the quantity and price of which were as follows, viz. 3 bls. sugar 118 lb. in a bar. 4 cannisters of tea at 10 bags chocolate 20 lb. each at 64 cts, per lb. $5,00 per cannister. ,35 cts. per lb. Amount of stock, $1671,00,6. 15 per cent. deducted on the total amount of sales. For which the clerk paid as follows, viz. his services for the two last years at $26, per month; turned in a note on James Spencer, of $500, with 5 years' compound interest due on it, and for the balance, he was to give his note payable in 6 years from the date of the transaction, without interest; now 1,20 66 2,00 ,50 the question is; What sum of ready money will discharge said note? A. $93,56 cts.1m.+ A drover having driven 110 fat oxen to market, sold them by weight as follows, viz. 20 averaged 900 lbs. at 5 cents per lb. 850 lbs. " 64" The quantity of tallow was 10 per cent. on their weight, which brought him 14 cts. per lb.; the hides sold for $6,75 apiece: now the question is; How much he made after deducting the cost of the cattle, which was $40 per head for the whole, besides the expense of driving, which was as follows, being on the way 14 days. 66 66 66 1st day 4 bushels corn at 83 cts. per bushel. meal at 89 cts. " corn at 89 cts. potatoes at 21 cts. cwt. 66 66 "10 " 66 " corn at 85 cts. " meal at 86 cts. " 10th day 10 The remaining travelling expenses averaged $6,99 cts. per day? A. $4713,16 cts. 7 mills. What difference is there between the compound interest of $10,000 for 8 yrs. and the simple interest of the same sum for the same time, at 6 per cent. each? A. $138,48 cts. What is the difference between the compound interest of $500 for 4 yrs. and the discount of the saine sum for the same time? A. $34,46 cts. 4 mills. What is the difference between the amount of $1800 compound interest for 3 yrs. ; and the present worth of the same sum for the same time, rate 6 per cent. each? A. $618 40 cts. 8 m. Shipped for the West Indies 500 quintals of fish, at $2,50 per quintal; 400000 feet of boards, at $93 per 1000; 24000 shingles at $2,25 per 1000; 38000 hoops at $14 per 1000, and my returns as follows, viz. 3000 gals. of rum at 27 cts. per gal. 5000 gals. of molasses at 17 cts. per gal. 15000 lbs. of coffee at 2,25 cts. per cwt.; and my charges on the voyage were $126,50 cts. 5 m.; did I gain or lose, and how much by the voyage? A. I lost $1681, 74 cts. 5 m. If 120 gallons of water in one hour, fall into a cistern containing 600 gals. and by one pipe in the cistern 35 gallons run out, and by another pipe 65 gallons run out; in what time will the cistern be filled? A. 30 hours. A man in a hunting excursion shot a squirrel from the summit of a stately oak, 80 feet high; its diameter 6 feet; the person stood 19 paces from the tree (3 feet being equal to one pace;) now how far was it from the squirrel to the place where the hunter stood, when he dis. charged his piece? A. 100 feet. 19races 80 ft. A gentleman had an annuity of $2000 per annum. I wish to know how much he may spend daily, that at the year's end he may lay up 90 guineas, and give 20 cts. per day to the poor of his own neighbourhood? A. $4,12 cts. 8 m. What is the interest of $600 for 120 days? For 2 days? Fo 10 yrs. 10 mo. and 10 days? For 5 yrs. 5 mo. and 5 days r For 6 yrs. 6 mo. and 6 days? For 4 yrs. 4 mo. and 4 days? A. total, $989,70 cts. What is the present worth of $3000 due 23 yrs. hence, discounting at 6 per cent, per annum? A. $2608,69 cts. 5 m. Suppose A owes B $1000 payable as follows, $200 in 4 mo., $400 in 8 mo., and the rest in 12 months; what is the equated time for paying, the whole? A. 84 months. PART III. CONJOINED PROPORTION Is when the coins, weights, or measures of several countries are compared in the same questions. CASE I. When it is required to find how many of the last kind of coin, weight, or measure, mentioned in the question, are equal to the given number of the first. RULE.-Multiply the antecedents together for a divisor; then multiply the consequents and the given number together for a dividend, divide, and the quotient will be the an swer. Examples for the Slate. If 8 lbs. at Boston make 12 lbs. at Amsterdam; 80 lbs. at Amsterdam 112 at Toulouse; how many pounds at Toulouse are equal to 50 lbs. at Boston? Antecedents. Divisor. 8X80=640 Consequents. Dividend. 12X112X50=67200 A. 105 lbs. If 20 braces at Leghorn make 12 vares at Lisbon; 60 vares at Lisbon make 120 braces at Lucca; how many braces at Lucca are equal to 100 braces at Leghorn? A. 120. CASE II. When it is required to find how many of the first named kind of coin, weight, or measure, mentioned in the question are equal to a given number of the last. RULE.-Proceed as in Case I. only multiply the product of the antecedents by the given number for a dividend. EXAMPLES.- if 80 lbs. at New York make 96 lbs. at Ant- werp, and 60 lbs. at Antwerp make 72 lbs. at Leghorn; how many lbs. at New-York, are equal to 288 lbs. at Leghorn? A. 200 lbs. If 140 braces at Venice be equal to 150 braces at Leghorn, and 14 braces at Leghorn be equal to 8 American yards; how many braces at Venice are equal to 128 American yards.? A. 209. EXCHANGE Teaches what sum of money ought to be received in one country, for any sum of a different kind paid in another country according to the course of exchange. TABLE-Shewing the amount of money in foreign coun tries, and their value in Federal money. |