4. 96000 barrels of beef cost € 232200, how much per barrel ? Ans. £ 2 8 4 CASE VII. When the given quantity is hundreds Avoirdupois Weight, and the price of one pound required. RULE. Divide the whole value by the number of hundreds, the quotient will be the value of one hundred weight; then divide this quotient by 4, the next by 4, and the third quotient by 7, the fourth quotient will be the price of one. EXAMPLES. 1. If 9 cwt. of tea cost € 365,8, how much is it per:1b? 9)365 8 4)40 12 4)10 3 7)2 10 9 Ib? Ans. 7s. 3d. 2. If 5 cwt. of tobacco cast £ 24 to, how much per Ans. 100. 3. If 7 cwt. of sugar cost to 29 8, how much per ib? Ans. 9d. 4. If 8 cwt. of butter cost 49.41 1 4g how much per 1b ? Anse lld. Of Weights, Measures, &c. When the whole weight or measure of several articles are given, which are each of equal weight, or measure, to find the weight or measure of one. RULE. Divide the whole weight or measure, by the given number of articles agreeable to the foregoing Cases, the result will be the weight or measure of one. EXAMPLES. 1. There were 7 hogsheads of tobacco of equal weight, the whole weighed 39 C. 2qrs. required the weight of each. 7)39 2 bag ? Ans. 5C. 2qr. 16lb. 2. The whole weight of 11 chests of tea was 8091b. 3 oz. their weight was equal ; what was the weight of each ? Ans: 73lb. 9oz. 3. What was the weight of each silver spoon, when ,12 of equal weight, weighed 2 lb. 9 oz. 5 dwt. 12 gr. Ans. 2 oz. 15 dwt. 11 gr. 4. In 36 pieces of linen, measuring equally, there are 927 yards ; how many yards. is in each piece ? Ans. 25yds. 3 qrs. 5. There are 135 bags containing equal quantities of wheat, the whole is 371 bu. I pé. ; how much was in each Ans. 24 bushels. 6. In 75 equal lots of land, there are 9269 acres, 2 roods, and 5 perches, how much is in each lot? Ans. 123 acres, 2 roods, 15 po. 7. In 25 hogsheads of equal contents, there are 1534 galls. 1 qt. 1 pt. ; how much is in each hogshead ? Ans. 61 ga. 1 qt. 1 pt. 8. A man employed nine labourers so long, that all their time added together, amounted to 193 days, and 6 hours, allowing 11 hours to a day, how long did they work ? Ans. 21 days, and 6 hours. 9. The whole circumference of the heavenly space, (called the 'zodiac) is divided by astronomers into twelve equal parts, called signs; how many degrees are in one sign? Ans. 30. SUPPLEMENT TO COMPOUND DIVISION. CASE I. When the given quantity is a fraction, and the price, weight or measure of one required. Rule. Multiply the given value or weight, &c, by the denominator of the fraction, divide the product by the numerator, the quotient will be the price or weight, &c. of one. Note. When the numerator is one, only multiply by the denominator. EXAMPLES 1. Required the value of a ship, of which cost £3129. 3129 8 7)25032 Ans. £ 3576 2. What is the price of a tun of wine, of which cost £ 15 8 69. Ans. £ 36. 3. What is hay per ton, when of it cost £ 4 2 101. Ans. £ 5 10 6. 4. of a certain weight, is 1 C. I qr. 8% lb. what is the whole ? Ans. IC. 3qrs. 16 lb. CASE II. When the given quantity is a mixed number, and the value, weight, or measure, of one required. Rule. Multiply the integer of the given quantity by the denominator of its fractional part; to the product add its numerator, for a divisor. Multiply the given value, weight, or measure, by the same denominator, for a dividend ; the quotient of these new numbers will be the answer. Questions in this rule are proved by a contrary process. EXAMPLES. 1. What is wine per gal.when 746 galls. cost £2 6570 2 6 517 78 10. To prove this. 0 5 117 78)23 4 9(60 5 11į Ans: 8 (6 20 times 9 are 72, and 464 2 7 8 6 are 78, 390 21 90 1 15 9 10)23 49 Proof. £ 2 6 56 117 78 } 9 39 4 156 156 2. If 254 bushels of salt oost £75 21, how much is it per bushel ? Ans. 5s. 9d. 3. It 39 chaldrons of coals cost £ 76 5 93, how much per chaldron ? Ans. £ 1 18 9. Questions for exercise ia Compound Multiplication and Division, in Federal and other Currencies. 1. If a hound run 400 yards in a minute, for 3 days, running 10 hours, 48 minutes, and 20 seconds each day ; how many miles will he run ? Ans. 442 miles, and 80 yards. 2. A merchant bought 400 hogsheads of rum, each contained 116 gallons, 2 quarts, 1 pint, at 75 cents per gallon ; what did the whole cost? Ans. $34987,50. 3. A merchant bought 10 bales of broadcloth, each bale contained 12 pieces, each piece 40 yards, for $ 18000 ; what was it per yard ? Ans. $ 3,75. If for $133, I buy cider, at 15 cents per gallon, perry at 20 cents, rum at 60 cents, brandy at 75 cents, Sherry wine at $ 1,20, Lisbon wine at $ 1,50, Madeira wine at & 2,25 per gallon, and have an equal quantity of each, how many gallons did I buy of each sort ? Ans. 20. 5. At an entertainment were there were an equal number of men, women, and children, who were charg. ed as follows, viz. the men $ % each, the women, $ 1, and the children 50 cents each, and the whole bill was $70 ; how many of each sort were there? Ans. 20. 6. At $ 3,75 per yard, what is the value of 10 bales of broadcloth, each bale containing 12 pieces, and each piece 40 yards? Ans. $ 18000. 7. In 5 C. 2 qrs. 21{ib. I had 25 parcels of equal weight; what was the weight of each parcel ? Ans. 25 lb. 8. I bought cider for 15 cents per gallon, perry for 20 cents, rum for 60 cents, brandy for 75 cents, Sherry wine for $ 1,20, Lisbon wine for $1,50, Madeira wine for $ 2,25 per gallon, and had 20 gallons of each sort; what did the whole cost? Ans. $ 1:33. 9. Divide $ 180, among A, B, and C, give B tivice as much as A, and C three times as much as B. A has } simple share. Simple shares 9)180 x2 $ 20 A's share. B =2 simple shares. X2 $ 40 B's share. с =6 simple shares. X 3 9 simple shares, total. $120 C's share. sum of shares. Proof. $180 10. Divide $3515 among A, B, C, and D, give B three times as much as A, C four times as much as B, and D five times as much as C. r$ 46, 25 A's, share. C's, 2775, D's, 11. Divide $7576 among A, B, C, and D, give B three times as much as A, C five times as much as B, and D ten times as much as all the others. r$ 36, 25 A's, share. 6887, 50 D's, ) 12. A man left his estate by will as follows, viz. his widow to have one third, the remainder to be divided among seven children equally, excepting that the eldest should bave a double share ; the whole estate was valued at £ 4278 6 ; what was each share ? The widow's share £ 1426 2 713 1 Answer. The others each 356 10 6 13. If 393 chaldrons of coals cost £ 76 5.9%, how much was it per chaldron ? Ans. £ 1 18 9. 14. If 25 hogsheads of tobacco cost £ 469 10 73, and each hogshead weighed 5 C. I qr. 13 lb. net, what was it per lb ? Ans. 7 d. 15. Required the value of 27 hogsheads of rum, containing 108 gallons each, at 75 cents per gallon ? Ans. $ 2202. I } |