29. At $2.67$ per yard, what will 400 yards of cloth cost? 30. At $54 per barrel, what will 1560 barrels of flour cost? DIVISION OF FEDERAL MONEY. Ex. 1. A man bought 6 hats for $25.68: how much did they cost apiece ? Operation. If 6 hats cost $25.68, 1 hat will cost 6)25.68 one sixth of $25.68. Divide as in sim$4.28 Ans, ple numbers, and point off two decimal figures in the quotient. (Art. 194.) Proof. $4.28 If i hat costs $4.28, 6 hats will cost 6 times 6 as much ; and $4.28 x6=$25.68, which is the cost. Hence, $25.68 217. When the number of articles, pounds, yards, &c., and the cost of the whole are given, to find the price of one article, pound, &c. Divide the whole cost by the whole number of articles, fc., and point off the quotient as in division of decimal fractions. (Art. 194.) 2. How many yards of cloth, at $3.13 per yard, can be bought for $20.345 ? Operation. Since $3.13 will buy 1 yard, 3.13)20.345(6.5 Ans. $20.345 will buy as many yards 18 78 as $3.13 is contained times in $20.345. Divide as in simple 1 565 1 565 numbers, and point off one decimal figure in the quotient. (Art. 194.) Proof.—$3.13 X 6.5=20.345. Hence, , QUEST.-217. When the number of articles, pounds, &c., and the cost of the whole, are given, how is the cost of one article found ? 218. When the price of one article, pound, yard, &c., and the cost of the whole are given, to find the number of articles, &c. Divide the whole cost by the price of one, and point of the quotient as in Art. 217. 3. Divide $149.625 by $2.375. Ans. 63 cents. 4. If $75 are divided equally among 18 men, how much will each receive ? Operation. 72 After dividing the $75 by 18, there is a remainder of 3 dollars, which must be reduced to cents and mills, (Art. 208,) and then be divided as before. The ciphers thus annexed must be regarded as decimals; consequently there will be three decimal figures in the quotient. 12 rem. 219. From the preceding illustrations we derive the following GENERAL RULE. Divide as in simple numbers, and point of the quotient as in division of decimal fractions. (Art. 194.) Obs. After all the figures of the dividend are divided, if there is a remainder, ciphers may be annexed to it, and the operation may be continued as in division of decimals. (Art. 194. Obs. 3.) The ciphers thus annexed must be regarded as decimal places of the dividend. 5. How many pounds of cheese, 'at 7 cts. a pound, can you buy for $1.47? QUEST.-218. When the price of 1 article, 1 pound, &c., and the cost of the whole, are given, how is the number of articles found? 219. What is the rule for Division of Federal Money? Obs. When there is a remainder after all the figures of the dividend are divided, how proceed? 6. A man paid $0.75 for the use of a horse and buggy to go 8 miles : how much was that per mile? 7. How many quarts of cherries, at 7 cents a quart, can you buy for $1.12? 8. How many pounds of figs, at 14 cents a pound, can you buy for $3.57 ? 9. How many watermelons, at 12 cts. apiece, can be bought for $3 ? 10. How many pen-knives, at 20 cts. apiece, can be bought for $7.20 ? 11. At 174 cts. a quart, how many quarts of molasses can be bought for $4.40 ? 12. A man bought 50 pair of thick boots for $175 : how much did he give a pair ? 13. A man paid $485.50 for 260 sheep: how much did he give per head ? 14. At $2.50 a cord, how many cords of wood can I buy for $165 ? 15. At $4.75 per barrel, how many barrels of flour can I buy for $8.50 ? 16. If a man's income is $1.68 per day, how much is it per hour ? 17. If a man pays $3.62} per week for board, how long can he board for $188.50 ? 18. Suppose a man's income is $500 a year, how much is that per day? 19. Suppose a man's interest money is $28.80 per day, how much is it per minute ? 20. A mason received $94.375 for doing a job, which took him 75} days : how much did he receive per day? 21. At $1.123 per bushel, how many bushels of wheat can be bought for $523.75 ? 22. If $1285.20 were divided equally among 125 men, what would each receive ? 23. If $1637.10 were divided equally among 150 men, what would each receive ? 24. The salary of the President of the United States is $25000 a year: how much does he receive per day? APPLICATIONS OF FEDERAL MONEY. BILLS, ACCOUNTS, &C. 220. A Bill, in mercantile operations, is a written paper, containing a statement of particulars, or amount of goods sold. Ex. 1. What is the cost of the several articles, and what the amount, of the following bill ? at · Boston, May 25th, 1845. James Brown, Esq. Bought of Fairfield f Lincoln, 5 yds. of Broadcloth, $3.25 3 yds. of Cambric, .12) 3 doz. Buttons, .15 6 skeins Sewing Silk, .06 4 yds. Wadding, .08 Amount, $17.77. Received Pay't, Fairfield f Lincoln. ( 2.) NEW HAVEN, Sept.20, 1845. Hon. R. S. Baldwin, Bought of Durrie of Peck, 4 Lovell's Young Speaker, at $ .621 5 Olmsted's Rudiments, .58 6 Morse's Geography, .50 8 Webster's Spelling Book, .10 3 Day's Algebra, 1.25 What was the cost of the several articles, and what the amount of his bill ? (3.) NEW YORK, Aug. 18th, 1845. Bought of G. W. Lewis of Co. 25 lbs. Sugar, at $.09 50 lbs. Coffee, .11 12 lbs. Tea, .75 14 lbs. Raisins, .14 9 doz. Eggs, .10 15 lbs. Butter, .125 What was the cost of the several articles, and what the amount of his bill ? ( 4.) PHILADELPHIA, June 30, 1845. W. A. Sandford, Esq. To James Conrad, Dr. For 28 yds. Silk, at $1.25 “ 22 yds. Muslin, .56 “ 16 pair Cotton Hose, .37) Silk 1.10 66 25 " 1.25 What was the cost of the several articles, and how much is due on his account? 66 35 ( 5.) CINCINNATI, July 4th, 1845. To H. W. Morgan f Co. Dr. For 100 bls. Flour, at $4.50 50 8.25 25 Beef, 9.75 “ 112 kegs of Lard, 3.25 25 bush. of Corn, .34 What was the cost of the several articles, and how much is due on his account? “ Pork, 66 |