4. What will 10 lbs. of beef cost, at 6 cents a pound? Solution. 6 cts.=.065, and .065 × 10=.65. 5. What cost 14 lbs. of starch, at 10 Ans. 65 cents. cts. per pound? 6. What cost 15 pounds of sugar, at 93 cents a pound? 7. What cost 25 gals. of molasses, at 183 cts. a gallon? 8. What cost 234 lbs. of raisins, at 8 cts. per pound? 9. What cost 331⁄2 lbs. of candles, at 12 cts. per pound? 10. What cost 164 lbs. of hyson tea, at 564 cts. a pound? 11. What will 83 lbs. of beef cost, at $4.62 per hund.? Analysis. 83 pounds are 83 of 100 pounds; therefore 83 pounds will cost of $4.625; and of $4.625 4.625x83 100 Operation. $4.625 83 13 875 3 70 00 $3.83 875 Áns. 100 100 We multiply the price of 100 ($4.625) by 83, the given number of pounds, and the product $383.875, is the cost of 83 lbs. at $4.625 per pound. But the price is $4.625 per hundred; 'consequently the product $383.875 is 100 times too large, and must therefore be divided by 100, to give the true answer. But to divide by 100, we simply remove the decimal point two places towards the left.(Art. 195.) 12. What will 825 feet of boards cost, at $6.75 per 1000? Operation. 6.75 8 25 33 75 135 0 5400 $5.568 75 1000 Reasoning as before, 825 feet will cost 825 of $6.75. We multiply the price of 1000 feet by the given number of feet, and divide the product by 1000. To divide by 1000, we remove the decimal point three places towards the left. (Art. 195.) Hence, 216. To find the cost of articles bought and sold by the 100, or 1000. Multiply the given price by the given number of articles; then if the price is for 100, divide the product by 100; but if the price is for 1000, divide it by 1000. (Art. 195.) 13. At $4.50 per 1000, what will 1250 bricks cost? 14. A farmer sold a quarter of beef, weighing 256.5 pounds, at $5.37 per 100: how much did he receive for it? 15. At $4.62 per hundred, what will 1675 pounds of pork cost? 16. What cost 2129 feet of spruce boards, at $18.25 per 1000? 17. How much will 456 yards of shirting cost, at 12 cts. per yard? 18. What cost 156 lbs. of chocolate, at 15 cents a pound? 19. What cost 235 pounds of cheese, at 64 cents a pound? 20. What cost 175 dozens of eggs, at 10 cents per dozen ? 21. At 47 cents per bushel, what will be the cost of 300 bushels of corn? 22. What will 153 lbs. of sugar cost, at 83 cents per pound? 23. What will 1500 pounds of butter cost, at $8.50 per hundred? 24. What cost 28500 feet of timber, at $3.76 per 100 ? 25. What cost 8230 feet of mahogany at $70.20 per 1000? 26. What cost 7630 bunches of hemlock shingles, at $3.50 per 1000 ? 27. What cost 15024 bunches of pine shingles, at $8.37 per 1000? 28. At 16 cts. a pound, what will 219 pounds of honey cost? QUEST.-216. How do you find the cost of articles bought and sold by the 100, or 1000? 29. At $2.67 per yard, what will 400 yards of cloth cost? 30. At $5 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. Proof. $4.28 6 $25.68 If 6 hats cost $25.68, 1 hat will cost one sixth of $25.68.. Divide as in simple numbers, and point off two decimal figures in the quotient. (Art. 194.) If 1 hat costs $4.28, 6 hats will cost 6 times as much; and $4.28×6=$25.68, which is the cost. Hence, 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, &c., 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 1878 1 565 1 565 as $3.13 is contained times in $20.345. Divide as in simple 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 off 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? Divide as in simple numbers, and point off 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 124 cts. apiece, can be bought for $3? 10. How many pen-knives, at 20 cts. apiece, can be bought for $7.20 ? 11. At 17 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 $1.12 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? |