column E will be changed Thus, if we multiply column D by 12 we shall have 60 and 12, and the numbers in column E become 66, 12 and 1, numbers which will fulfil the conditions of the question. Examples. 1. What quantity of teas at 12s. 10s. and 6s. must be mixed with 20 pounds, at 4s. a pound, to make the mixture worth 8s. a pound? 2 How many pounds of sugar, at 7 cents and 11 cents a pound, must be mixed with 75 pounds, at 12 cents a pound, so that the mixture may be worth 10 cents a pound? 3. How many gallons of oil, at 7s., 7s. 6d., and 9s. a gallon, must be mixed with 24 gallons of oil, at 9s. 6d. a gallon, so as to form a mixture worth 8s. a gallon? at 4. Bought 10 knives at $2 each: how many must be bought each, that the average price of the whole shall be $11? 5. A grocer mixed 50 lb. of sugar worth 10 cents a pound, with sugars worth 9 cents, 7 cents, 7 cents, and 5 cents a pound, and found the mixture to be worth 8 cents a pound; how much did he take of each kind? CASE III. 333. When the quantity of the mixture is given. 1. A silversmith has four sorts of gold, viz., of 24 carats fine, of 22 carats fine, of 20 carats fine, and of 15 carats fine; he would make a mixture of 42 ounces of 17 carats fine: how much must he take of each sort? Rule.-I. Find the proportional parts as in Case I.: II. Divide the quantity of the mixture by the sum of the proportional parts, and the quotient will denote how many times each part is to be taken. Multiply the parts separately by this quotient, and each product will denote the quantity of the corresponding simple. Examples. 1. A grocer has teas at 5s., 6s., 8s., and 9s. a pound, and wishes to make a compound of 88 lb., worth 7s. a pound: how much of each sort must be taken? 2. A liquor dealer wishes to fill a hogshead with water, and with two kinds of brandy at $2.50 and 3.00 per gallon, so that the mixture may be worth $2.25 a gallon: in what proportions must he mix them ? 3. A person sold a number of sheep, calves, and lambs, 40 in all, for $48: how many did he sell of each, if he received for each calf $13, each sheep $13, and each lamb $3? 4. A merchant sold 20 stoves for $180; for the largest size he received $19 each, for the middle size, $7, and for the small size, $6: how many did he sell of each kind? 5. A vintner has wines at 4s., 6s., 8s., and 10s. per gallon; he wishes to make a mixture of 120 gallons, worth 5s. per gallon what quantity must he take of each? 6. A tailor has 24 garments, worth $144. He has coats, pantaloons, and vests, worth $12, 85, and $2 each, respectively how many has he of each ? 7. A merchant has 4 pieces of calico, each worth 24, 22 20, and 15 cents a yard: how much must he cut from each piece to exchange for 42 yards of another piece, worth 17 cents a yard? 8. A man paid $70 to 3 men for 35 days' labor ; to the first he paid $5 a day, to the second, $1 a day, and to the third, $a day: how many days did each labor? CUSTOM HOUSE BUSINESS. 334. All merchandise imported into the United States, must be landed at certain ports, called Ports of Entry. On such merchandise the General Government has imposed a greater or less tax, called a duty. 335. A PORT OF ENTRY is a port where foreign merchandise may be delivered, and where there is a Custom-house for appraisement and the payment of duties. 336. TONNAGE DUTIES are taxes levied on vessels, according to their size, for the privilege of entering ports. 337. All duties, levied by law, on imported goods, are of two kinds specific and ad valorem. 338. SPECIFIC DUTY is a certain sum levied on a particular kind of goods named; as so much per square yard on cotton or woolen goods, so much per ton weight on iron, &c. 339. AD VALOREM DUTY is a certain rate per cent. on the invoice. 340. AN INVOICE is an inventory of goods to be landed, directed to the person who imports them, and stating their cost at the place from which they were exported. Thus, an ad valorem duty of 15% on English cloths, is a duty of 15% on the cost of the cloths imported from England. 341. The revenues of the country are under the general direction of the Secretary of the Treasury, and to secure their faithful collection, the government has appointed various officers at each port of entry, or place where goods may be landed. 342. The laws of Congress provide, that the cargoes of al vessels freighted with foreign goods or merchandise, shall be weighed or gauged by the custom-house officers at the port to which they are consigned. As duties are only to be paid on the articles, and not on the boxes, casks, and bags which TARE is an a barrels, or bags is produced at the une shall be speed tuetem a allowed, and met in wr the suppostion fit In actual wants: 20 A tare of 21 pet. in bottles, or BEDEK liquors in bottles, mon size are esteet tables of Ture and In L CUSTOM HOUSE BUSINESS. 334. All merchandise imported into the United States, must be landed at certain ports, called Ports of Entry. On such merchandise the General Government has imposed a greater or less tax, called a duty. 335. A PORT OF ENTRY is a port where foreign merchandise may be delivered, and where there is a Custom-house for appraisement and the payment of duties. 336. TONNAGE DUTIES are taxes levied on vessels, according to their size, for the privilege of entering ports. 337. All duties, levied by law, on imported goods, are of two kinds specific and ad valorem. 338. SPECIFIC DUTY is a certain sum levied on a particular kind of goods named; as so much per square yard on cotton or woolen goods, so much per ton weight on iron, &c. 339. AD VALOREM DUTY is a certain rate per cent. on the invoice. 340. AN INVOICE is an inventory of goods to be landed, directed to the person who imports them, and stating their cost at the place from which they were exported. Thus, an ad valorem duty of 15% on English cloths, is a duty of 15% on the cost of the cloths imported from England. 341. The revenues of the country are under the general direction of the Secretary of the Treasury, and to secure their faithful collection, the government has appointed various officers at each port of entry, or place where goods may be landed. 342. The laws of Congress provide, that the cargoes of al vessels freighted with foreign goods or merchandise, shall be weighed or gauged by the custom-house officers at the port to which they are consigned. As duties are only to be paid on the articles, and not on the boxes, casks, and bags which |