REM.-One shilling is zo of a pound. Change 1 shilling to hundredths, then take zł of them ;-25 of 100 hundredths is equal to 5 hundredths, written .05. 17. Change 15 s. to the decimal of a £. Ans. .75. 18. Change 8 d. to the decimal of a £. Ans. .0333+. 19. Add together 4, 3, 4, and is of a foot, when changed to decimals. Ans. 1.4999 +. 20. Subtract 4 inches from } of a foot when reduced to decimals. Ans. .00. a SECTION XVIII. SIMPLE PROPORTION. 1. If 4 bls. of flour cost $10, what will 12 bls. cost at the same rate ? Ans. $30. 2. Sold 75 chaldrons of lime, at 11 s. 6 d. per chaldron; how much did it come to? Ans. 43 £. 11 s. 11 d. 3. If 233 yds. of riband cost $51, what will 34& yds. cost? Ans. $8.1916. 4. If 47.25 bushels of barley cost 15 £. 17 s. 5 d., what is that per bushel ? Ans. 6 s. 815 d. 5. At 3 s. 8 d. per bushel, how many bushels of corn may be bought for 3 €.5 s. 7 d.? Ans. 17.886 bush. 6. If .845 of a yard of cloth cost $5.37, what is that per yard? Ans. $6.355. 7. If $11.02 will buy 94 yds. of cloth, what will $195.75 Ans. 168 yds. 3 qrs. 8. If a ship cost 537 £., what are of her worth? Ans. 201 £. 7 s. 6 d. 9. A person having of a vessel, sells of his share for $10803; what is the whole vessel worth? Ans. $2026.25. 10. What number of men must be employed to finish in 9 days, what 15 men would perform in 30 days? Ans. 50. 11. If 100 yds. of cloth cost $66, what will 1 yd. cost ? Àns. 66 cents. 12. If a piece of board be 30 inches in length, what breadth will make 13 square feet? 13. Suppose 450 men are in a garrison, and their provisions are calculated to last but 5 months; how many must leave the garrison, that the same provisions may be sufficient for those who remain 9 months ? Ans. 200, buy? . 14. There is a cistern, having a pipe which will empty it in 6 hours; how many pipes of the same size will empty it in 20 minutes ? Ans. 18. 15. How much will 75 chaldrons 7 bushels of coal come to, at the rate of 1 £. 13 s. 6 d. per chaldron ? Ans. 125 £. 19 s. 01 d. 16. How many yds. of stuff, of 3 qrs. wide, will line a cloak that is 14 yds. long, and 37 yds. wide ? Ans. 8 yds. O qrs. 2; na. 17. What is the half year's rent of 547 acres of land, at 15s. 6d, the acre ? Ans. 210 £. 19 s. 3 d. 18. What will be the charge of keeping 20 horses for a year, at the rate of 141d. per day for each horse? Ans. 441 £. O s. 10 d. 19. If 34 cwt. of iron cost $145, what is that per cwt. ? Ans. $4.075. 20. If of a ship be worth of her cargo, the cargo being valued at 2000 £., what is the whole ship and cargo worth? Ans. 2653 £. 1 s. 29 d. 21. There is a pole, standing so that of it is in the water, s as much in the mud as in the water, and 7 feet of it is above the water; what is the length of the pole? Ans. 124 ft. 22. When corn is šof a dollar a bushel, what part of a bushel may be bought for of a dollar ? Ans. 36 of a bu. 23. If a man can build 417 rods of wall in a day, how many days will it take him to build 8445 rods? Ans. 191487: 24. At 25 dollars a cask, how many casks of claret wine may be bought for 38745 dollars ? Ans. 154826 25. At 95,25 dollars a ton, how much iron may be bought for 2956] dollars? Ans. 30846 26. A man failing, can only pay 17 s. on a £.; how much can he pay on 147 £. 14 s. ? Ans. 125 £. 10 s. 10 d. 31 q. 27. Divide the number 360 into parts which shall be to each other as 2, 3, and 4. Ans. 80, 120, 160. 28. If 745 soldiers are to be clothed, and each suit is to contain 34 yds. of cloth 13 yds. wide, and to be lined with shalloon yd. wide,-how many yds. shalloon will be required? Ans. 40971 yds. 29. How many yards of carpet, 2 ft. wide, will cover a floor which is 16 ft. long and 11 ft. wide ? Ans. 2131 yds. 30. How many yards of cloth, 3 quarters wide, are equal to 30 yards 5 quarters wide ? Ans. 50, a 18 31. If 100 men can finish a piece of work in 24 days, how many are sufficient to do the same in 3 days? Ans. 800. 32. If 16 men can do a piece of work 12 days, in what time will 8 men do it? Ans. 24 days. 33. If a piece of land be 20 rods in length, how wide must it be to contain an acre ? Ans. 8 rods. 34. How much land, at $2.50 per acre, must be given for 360 acres at $3.65 per acre ? Ans. 525); acres. 35. If 52 yards of cloth cost 156 dollars, how much will 4 yards cost ? Ans. $12. 36. If 40 men can build a house in 180 days, how long will it take 80 men to build it? Ans. 90 days. 37. If 5 pieces of linen, each containing 12 yards, cost 13 £. 10 s., what is it per yard ? Ans. 4 s. 6 d. 38. A merchant bought a piece cloth for $60, at $1.50 per yard; how many yards were there in the piece? Ans. $40. 39. If 4 cords of wood be worth $24, what are 3 cords of the same wood worth ? Ans. $18. 40. A man engaged to labour 8 months for $88; but being obliged to leave at the end of 5 months, how much ought he to receive ? Ans. $55. 41. If the rent of a house be $40 for 3 months, what will the rent of the same house be for 2 years ? Ans. $320. 42. How many tiles, 8 inches square, will lay a floor 20 feet long and 16 feet wide? Ans. 720. 43. The ship Emily left Boston and sailed east at the uniform rate 24 leagues per day; 15 days after, the sloop Esther sailed from the same port and in the same direction ; how many leagues per day must she sail, to overtake the Emily in 60 days? Ans. 30. 44. A commissary has 24000 lbs. of meat for 400 soldiers; if each man eat 4 lbs. per week, how many weeks will it last ? Ans. 15. 45. If I am taxed 10 dollars for 50 acres of land, how much is the tax of the town in which the land lies for 23040 acres ? Ans. $4608. 46. If a man perform a journey in 15 days when the days are 12 hours long, how long ought the days to be, that he may perform the same journey in 12 days ? Ans. 15 hrs. 47. If 8 men can perform a piece of work in 24 days, how many men would it require to perform twice as much in 12 days? Ans. 32. per hour? 48. If $480 gain $28.80 in one year, how much will it gain in 87 days? Ans. $6.864. 49. If 1 and 2 make 7, what will 3 and 6 make? Ans. 21. 50. If a man earn 64 dollars in 4 months, how long must he work at the same wages to pay a debt of 300 dollars ? Ans. 183 months. 51. If the inventory of a certain town be 358400 dollars, upon which there is assessed a tax of 850 dollars, what will a man's tax be, whose estate in that town is valued at 1792 dollars? Ans. $4,25. 52. If a man travel 5 miles per day, how far does he travel Ans. ma of a mile. а. 53. The hour and minute hand of my watch were together at 12 o'clock; at what time will they be together again? Ans. 5 min. 27 3 sec. past 1. 54. If 60 yards of matting will cover a room which is 18 feet wide and 30 feet long, what is the width of the matting ? Ans. 1 yard. 55. A building was completed in 18 months by 80 workmen, but it having been destroyed by fire, it is required that it be rebuilt in 12 weeks; how many workmen must be employed? Ans. 480. 56. If a suit of clothes can be made from 43 yards of cloth, 14 yard wide, how many yards / of a yard wide will it require for the same person ? Ans. 9. 57. If a man travel 60 miles per day, how far is that per hour,-provided he travel uniformly and without interruption ? Ans. 24 miles. 11 SECTION XIX. COMPOUND PROPORTION. 1. If 60 dollars' worth of provision will serve 20 men 30 days, how long would 120 dollars' worth serve 10 men? How long would it serve 15 men? How long 40 men ? Ans. 120 days. 80 days. 30 days. 2. If 1464 quarters of wheat be used by 27816 soldiers in a month, in what time will 950 soldiers consume 350 quar Ans. 7 months. 3. If 20 men can do a piece of work in 30 days, how many men will it take to do a piece 4 times as large in 4 days? Ans. 600, 2 ters? 4. If 7 men build 36 rods of wall in 3 days, how many rods can 20 men build in 14 days? Ans. 480. 5. If 100 £. in 1 year gain 5 £. interest, what will be the the interest of 750 £. for 7 years ? Ans. 262 £. 10 s. 6. If 3000 lbs. of beef serve 340 men 15 days, how many lbs. will serve 120 men 25 days ? Ans. 1764 lbs. 11/1 oz. 7. How many men can complete a trench 135 yds. long in 8 days, when 16 men can dig 54 yds. in 6 days? Ans. 30 men. 8. If 8 men spend 32 dollars in 13 weeks, what will 24 men spend in 52 weeks ? Ans. $384. 9. If 7 men can reap 84 acres of wheat in 12 days, how many men can reap 100 acres in 5 days? Ans. 20. 10. A hare is 50 leaps before a hound, and takes 4 leaps while the hound takes 3. But 2 of the hound's leaps are equal to 3 of the hare's. How many leaps must the hound make to overtake the hare ? Ans. 300. 11. If a family of 9 persons spend 120 dollars in 8 months; how much will serve a family of 24 persons 16 months ? Ans. $640. 12. A wall to be built at the height of 27 feet, was raised to the height of 9 feet by 12 men in 6 days; how many men must be employed to finish the wall in 4 days, at the same rate of working ? Ans. 36. 13. If a man travel 130 miles in 3 days, when the days are 12 hours long; in how many days of 10 hours each, may he travel 360 miles. Ans. 963 days. 14. If 40 men in 15 days, of 12 hours each, can build a wall 200 feet long, 12 feet high, and 5 feet thick ; how many men in 12 days of 15 hours each, can build a wall 100 feet long, 10 feet high, and 6 feet thick ? Ans. 20 men. 15. A man put out 450£. at interest, and at the end of 9 months received for principal and interest 473£. 12 s. 6 d; at what rate per cent did he receive interest ? Ans. 7 per cent. 16. If a regiment of soldiers, consisting of 939 men consume 351 quarters of wheat in 7 months; how many soldiers will consume 1464 quarters in 5 months, at that rate ? Ans. 5483,239 17. If 100 dollars gain 6 dollars in 12 months, what will 400 dollars gain in 7 months ? Ans. $14. 18. If 20 bushels of wheat are sufficient for a family of 8 persons 5 months, how much will be sufficient for 4 persons 12 months ? Ans. 24 bushels. 195 |