20. If a man spends, one day with another, 64cts. for 49 years, required the amount of expenses. d. 1 d. Υ. cts. D. cts. m. 3651x49: 64: 1118, 57 8 Ans. 21. If the hind wheel of a stage turn once on 18Feet of the road, how often will it turn in running from Harrisburg to Pittsburg, which is 186 miles? ft. turn. turns. ft. m. 18: 186 x 5280 :: 1 : 54560 Ans. 22. In common flush water, the Susquehanna, opposite to Harrisburg, moves at the rate of 5 miles an hour; at which time the river will average a mean depth of 6 feet. It is therefore required to determine the number of cubic feet of water which would pass the town in a year, provided the mean depth remain the same, and the breadth of a mile. h. d. breadth dep. dis. pr.h. cubic ft. Ans. 1: 365: 3960 × 6 × 5280 × 5: 5498596224000 23. If one cubic foot of water weighs 64*b., how many tons are contained in 5498596224000 cubic feet? ft. ft. lb. T. C. q. lb. 1: 5498596224000 :: 64: 157102749257 2 3 12 24. If $100, in a year's time, give $6 interest, what amount of interest will $1000000 give in the same time? 100 1000000 :: 6 : 60000 Ans. 25. A drove of 300 head of cattle crossed the bridge at Harrisburg, at 3 cents per head; required, the toll. head. head. cts. cts. D. 1: 300 :: 3 : 900-9 Ans. 26. A grazier charged 5d. per head for pasturing 350 cattle one night; required the bill of pasturage. head. head. d. £ s. d. 1: 350 :: 5 : 7 5 10 Ans. * 621lb. is the weight of pure water per cubic foot. 27. A farmer sold 40 bullocks, at £11 58. each; required, their whole price. bu. bu. £ s. £ 1 40 11 5: 450 Ans. 28. For how many dollars should a check have been drawn, to pay the above sum? £ £ D. cts. D. 1: 450 :: 2, 663: 1200 Ans. 29. If 1 bushels of oats cost 374 cents, what will 400 bushels come to? bu. bu. cts. D. 11⁄2 400 :: 37: 100 Ans. 30. If a herring and a half cost three half pence, how many could I buy for 11d.? d. d. 11⁄2 11 her. her. 1: 11 Ans. 31. If 7 yards of cloth cost 49s., what would 11 pieces, each 77 yards, come to? yds. pie. yds. S. S. ₤ S. 7: 11 x 77 :: 49: 5929=296 9 Ans. 32. A piece of broad cloth, containing 38 yards, cost $190, how much per yard? yds. yds. D. D. 38 1: 190: 5 Ans! 33. If 20 pieces of linen, at 5s. per yard, cost £100, how many yards to a piece? S. £ yd. yds. 5 1001 400- the whole, & 400 yds. 20 pr. piece. 34. Bought 100 ells of brown holland for £25, and a piece of Irish linen the same length at 8s. 4d. per ell English; how many ells English was the length of the piece? As the ell English is to the ell Flemish in the ratio of E.F. E.E. 5 3 100: 60 Ans. 35. What tax will an estate pay, which is valued at $14000, when 31cts. are assesed on the dollar? 36. A merchant finds, after reckoning his expenees, losses, and other contingencies, that he cannot venture to lay more than 15 per cent on his merchandize; what should he sell an article for, which cost $35? D. D. D. D. cts. 100: 15 :: 35: 5,25 gain; therefore, 35+5, 25-$40, 25 Ans. 37. If the selling price of an article, at 15 per cent advance, was $40, 25; required, the prime cost. D. D. D. D. cts. D. cts. 100+15: 15 :: 40, 25: 5,25 gain; therefore, 40, 25-5, 25-$35 Ans. 38. What should cloth sell for, which cost $5, 50 per yard, when I add 20 per cent advance? D. D. cts. D. D. cts. 100: 5, 50 :: 20: 1, 10-advance; therefore, 5, 50+$1, 10-$6, 60cts. Ans. 39. Bought an article for $100, which will bear 25 per cent profit; how should I sell it? 100 100 25 25 advance; therefore, 40. If a merchant retail $40000 worth of merchandize in a year, at 124 per cent clear profit; required, the whole gain. D. D. D. cts. D. 100 40000 :: 12, 50: 5000 Ans. 41. If a merchant lose 3 per cent, on $100000 worth of merchandize; required, the whole loss. 100 100000 :: 3, 50: 3500 Ans. 42. An Iron-master blows a furnace constantly for two years, and casts three tons of pigs every eight hours, and these pigs sell for $30 per ton; what weight of pigs were in the whole, and what the price? d. h. h. h. T. T. 1:365×2:: 24: 17532 & 8: 17532 ::3:65741 h. T. T. D. h. D. whole weight; & 1 : 65744 :: 30 : 19737=price. H 43. If a forge work 500 tons of bar iron in a year, how much would it sell for altogether, provided it would command $120 per ton? 1 : 500 :: 120: 60000 Ans. 44. If iron sell for a five penny bit per pound; required, the price of 19G. 39. 17416. lb. C. q. lb. d. £ s. d. 1 19 3 17 :: 5 : 47 12 23 Ans. 45. If 1 pound of brown sugar retails for 2 cents more than it cost; required, the amount of profit on selling 10 hogsheads, each 10C. gross weight. lb. lb. C. lb. cts. D. 1: 112 X 10×10 :: 2 : 224 Ans. 46. A person failing in trade, gives up his property for the use of his creditors; how much is paid on the dollar, when the amount of debt was $14000, and property $10000? 14000: 10000 :: 1: 71 Ans. 47. The victualler of an army provided 40005lbs. of beef, to be distributed, 9lbs, to a mess of 6 men; required, the number of men. 16. lb. M. Men. =1 and 1: 40005 :: 1 : 26670 Ans. 48. The commander of a ship of war, laid in 1368756. of bread for a six month's cruise; how many men had he on board, when each man had 176. per day? days. d. lb. 16. 182 1: 136875 750 the daily ration of bread, consequently he had 750 men on board. 49. Suppose a crew of 150 men at sea, were put upon short allowance of water, each man a pint per day; how long would 2 casks, each containing 100 gallons, last them? M. M. gal. ca. pts. 150 1: 100 × 2 × 8: 10% pints each, and as a pint per day was the proper ration, it would last them 10 days. 50. If the ratio of 10 to 1 be 10; required, the ratio of 2 to 3. 10:11-10, therefore, 2: 3, ratio required. OF CONTRACTED OPERATIONS. CASE 1. If the first term be a multiple, or a part of the second, the third will be a like multiple, or a part of the fourth; and the answer will be found by multiplication or division. EXAMPLES. 1. Bought 15 yards of linen for $9, what would 225 yards of the same cost? yds. yds. D. 15)15: 225 :: 9 D. 1: 15:9: 135 Ans. 2. Bought 11 bushels of salt for $8; what would 121 bushels come to at the same rate? bib. bu. D. 11)11: 121 :: 8 D. 1 : 11 :: 8: 88 Ans. 3. If 30 yards of broad cloth cost £39 12s. 6d. how much should I have paid for 6 yards. yds. yds. £ s. d. 6)30: 6:39 12 6 £ s. d. 5: 1:39 12 6: 7 18 6 Ans. 4. If 30 bushels of wheat cost $40, how much would pay for 900 bushels? bu. bu. D. 30)30: 900 :: 40 D. 1 : 30: 40: 1200 Ans. |