ó. At 23 cents a pound, what will 12 firkins of butter cost ? 6. If $ 22 is paid for a barrel of pork, how much is that by the pound? Ans. 11 cents. 7. How much must be paid for 302 hogsheads of salt at $0.30 a bushel ? Ans. $724.80. 8. At $4 per quintal, how many pounds of fish may be bought for $ 50.24? Ans. 1256 pounds. 9. If the wholesale price of one writing-book be 41 cents, what will be the cost of a great-gross of writing-books ? 10. A dairyman sells 2 firkins of butter at 20 cents a pound, and takes in pay half a barrel of flour at 5 cents a pound, and the balance in cash. How much cash does he receive ? Ans. $ 17.50. MISCELLANEOUS EXAMPLES IN REDUCTION. 1. In 57£. 15s. how many half-pence ? Ans. 27720. 2. In 591b. 13pwt. 15gr. how many grains ? 3. In 340167 grains how many pounds ? 4. How many ells English in 761 yards ? Ans. 608 E. E. 4qr. 5. How many yards in 61 ells Flemish ? Ans. 45yd. 3qr. 6. How many bottles, that contain 3 pints each, will it take to hold a hogshead of wine ? Ans. 168. 7. How many steps, of 2ft. 8in. each, will a man take in walking from Bradford to Newburyport, the distance being fifteen miles ? Ans. 29700. 8. How many spoons, each weighing 2oz. 12pwt., can be made from 5lb. 2oz. 8pwt. of silver? Ans. 24. 9. How many times will the wheel of a coach revolve, whose circumference is 14ft. 9in., in passing from Boston to Washington, the distance being 436 miles ? Ans. 15607339 10. I have a field of cor consisting of 123 rows, and each row contains 78 hills, and each hill has 4 ears of corn ; now if it takes 8 ears of corn to make a quart, how many bushels does the field contain ? Ans. 149bu. 3pk. 5qt. Opt. 11. If it take 5yd. 2qr. 3na. to make a suit of clothes, how many suits can be made from 182 yards ? 12. A goldsmith wishes to make a number of rings, each 6. At 23 cents a pound, what will 12 firkins of butter cost? 6. If $ 22 is paid for a barrel of pork, how much is that by the pound ? Ans. 11 cents. 7. How much must be paid for 302 hogsheads of salt at $0.30 a bushel ? Ans. $ 724.80. 8. At $4 per quintal, how many pounds of fish may be bought for $ 50.24 ? Ans. 1256 pounds. 9. If the wholesale price of one writing-book be 41 cents, what will be the cost of a great-gross of writing-books? 10. A dairyman sells 2 firkins of butter at 20 cents a pound, and takes in pay half a barrel of flour at 5 cents a pound, and the balance in cash. How much cash does he receive ? Ans. $ 17.50. MISCELLANEOUS EXAMPLES IN REDUCTION. 1. In 57£. 15s. how many half-pence ? Ans. 27720. 2. In 591b. 13pwt. 15gr. how many grains ? 3. In 340167 grains how many pounds ? 4. How many ells English in 761 yards? Ans. 608 E. E. 4qr. 5. How many yards in 61 ells Flemish ? Ans. 45yd. 3qr. 6. How many bottles, that contain 3 pints each, will it take to hold a hogshead of wine ? Ans. 168. 7. How many steps, of 2ft. 8in. each, will a man take in walking from Bradford to Newburyport, the distance being fifteen miles ? Ans. 29700. 8. How many spoons, each weighing 2oz. 12pwt., can be made from 5lb. 2oz. 8pwt. of silver? Ans. 24. 9. How many times will the wheel of a coach revolve, whose circumference is 14ft. 9in., in passing from Boston to Washington, the distance being 436 miles ? Ans. 156073379 10. I have a field of corn, consisting of 123 rows, and each row contains 78 hills, and each hill has 4 ears of corn ; now if it takes 8 ears of corn to make a quart, how many bushels does the field contain ? Ans. 149bu. 3pk. 5qt. Opt. 11. If it take 5yd. 2qr. 3na. to make a suit of clothes, how many suits can be made from 182 yards ? 12. A goldsmith wishes to make a number of rings, each pint? weighing 5pwt. 10gr., from 3lb. loz. 2pwt. 2gr. of gold; how many will there be ? Ans. 137. 13. How many shingles will it take to cover the roof of a building, which is 60 feet long and 56 feet wide, allowing each shingle to be 4 inches wide and 18 inches long, and to lie one third to the weather? Ans. 20160. 14. There is a house 56 feet long, and each of the two sides of the roof is 25 feet wide ; how many shingles will it take to cover it, if it require 6 shingles to cover a square foot ? Ans. 16800. 15. If a man can travel 22m. 3fur. 17rd. a day, how long would it take him to walk round the globe, the distance being about 25000 miles ? Ans. 11144144 days. 16. If a family consume 71b. 10oz. of sugar in a week, how long would 10cwt. 3qr. 16lb. last them ? Ans. 143 1 weeks. 17. What will 7 hogsheads of wine cost, at 9 cents a quart? 18. What will 15 hogsheads of beer cost, at 3 cents a Ans. $ 194.40. 19. What will 73 bushels of meal cost, at 2 cents a quart? Ans. $ 46.72. 20. A merchant has 29 bales of cotton cloth ; each bale contains 57 yards ; what is the value of the whole at 15 cents a yard ? Ans. $ 247.95. 21. There a certain pile of wood 120 feet long, 41 feet high, and 4 feet wide ; what is its value at $ 4.00 per cord ? Ans. $ 67.50. .22. How much must be paid, at twenty cents a square yard, for plastering overhead in a room which is 33 feet long and 18 feet wide ? 23. An apothecary, in compounding 20 boxes of pills, each box containing 25 pills, used 6 grains of aloes, 5 grains of rhubarb, and 4 grains of calomel in each pill. What was the entire quantity used ? Ans. 7500 grains. 24. Purchased a cargo of molasses, consisting of 87 hogsheads; what is the value of it at 33 cents a gallon ? Ans. $ 1808.73. 25. If a cubic foot of white-oak wood weighs 880 ounces, and a cubic foot of white-pine wood weighs 480 ounces, how much will a load weigh, which is composed of half a cord of white-oak, and of a cord of white-pine ? Ans. 7360lbs. 26. How many chests of tea, weighing 24 pounds, at 43 cents a pound, can be bought for $ 1548 ? 27. Joseph Eldredge received $ 10, as a birthday present, from his father, on every 29th day of February, from 1837 to 1857. How much less than $ 200 did he receive, in all ? Ans. $ 150. 28. If 254 grains of standard gold be worth $1, how many pounds avoirdupois of standard gold will be worth $1,000,000 ? Ans. 36854 pounds. 29. A merchant, who had bought 188 gallons of molasses, at 40 cents a gallon, intended to have it sold at the rate of 50 cents a gallon ; but his shop-boy retailed half of the quantity at 124 cents a quart, beer measure, when, finding he had made a blunder, he sold the balance at 14 cents a quart, wine measure, thereby expecting to exactly make up for the mistake. How much less did the whole bring than was intended ? Ans. $ 2.86. ADDITION OF COMPOUND NUMBERS. OPERATION, d. £. 145. ADDITION of Compound Numbers is the process of finding the amount of two or more compound numbers. Ex. 1. Required the amount of 31£. 17s. 9d. 2far. ; 16£. 16s. 6d. 1far.; 16£. 11s. 11d. lfar.; 19£. 193. 9d. 3farı; 61£. 17s. 1d. 2far. Ans. 147£. 3s. 2d. 1far. Having written units of the same far. denomination in the same column, we 31 17 9 2 find the sum of farthings in the right16 16 6 1 hand column to be 9 farthings = 2d. 16 11 11 1 1far. We write the 1far. under the 19 19 9 3 column of farthings, and carry the 2d. 61 17 1 2 to the column of pence; the sum of which is 380. = 3s. 2d. We write Ans. 147 3 2 1 the 2d. under the column of pence, and carry the 3s. to the column of shillings; the sum of which is 838. = 4£. 3s. Having written the 3s. under the column of shillings, we carry the 4£. to the column of pounds, and find the entire amount sought to be 147£. 3s. 2d. 1far. The same result can be arrived at by reilucing the numbers as they are added in their respective columns. Thus, beginning with farthings, we can add, in this way. 2far + 3far. = 5far. 1d. 1far ; |