10. From a medicinal mixture, containing 3lb. 63 29, an apothecary sold 1lb. 103 73 29 7gr. How much was left? 11. Thomas wishes to know how many gallons, pints, &c. will be left after pouring 90 drops from 6Cong. 5 O. of water. 12. Subtract 19Y. 276dy. 4h. 41m. 27sec. from 21 Y. 15dy. 13. From a farm of 149A. 3R. the owner sold a piece 31r. long and 30r. wide. How many acres, &c. did he sell, and how many had he left ? 14. From a pile of wood 48ft. long, 8ft. wide and 5ft. high, a load was sold 8ft. long, 5ft. wide and 6ft. high. How many cords, &c. were there in the original pile? How many in the load that was sold? How many were left? 15. If 5gal. 3qt. 1pt. leak from a hogshead holding 113gal. 2qt., how much will be left? 16. James left home 2 Y. 31dy. ago, expecting to return in 3 years. How soon may his friends look for him? 17. A man started on a journey of 69 miles, and rode 24m. 7fur. 39r. without stopping. How far had he still to go? 18. Subtract 1829Y. 11mo. 27dy. from 1844Y. 7mo. 28dy. 19. A man borrowed a sum of money, on 9th mo. 16th, 1837, which he paid, with interest, 3d mo. 1st, 1841. How long did he keep the money? 20. Samuel was born August 18th, 1820. How old was he, May 3d, 1844? 21. How many hours elapsed, from the Declaration of Independence, July 4th, 1776, to the commencement of the 19th century, January 1st, 1801? COMPOUND MULTIPLICATION. EXAMPLE FOR THE BOARD. How much gold in 23 ingots, each ingot weighing 7lb. 9oz. 18gr.? 54 "3" 5" 7 6 3 162 " 9" 15" 18 15 " 6 " 1 "12 178 "3 "17" 6 Rather than multiply directly by 23, I multiply by 7 and 3, the factors of 21; and having found the weight of 21 ingots, I add the weight of 2 ingots, which gives the weight of 23 ingots. The answer might also have been found by multiplying by 8 and 3, the factors of 24, and subtracting the weight of 1 ingot. In the multiplication we say, 7 times 18gr. are 126gr., equal to 5dwt. 6gr.; 7 times Odwt. are Odwt. and 5 to carry are 5dwt.; 7 times 9oz. are 63oz., equal to 5lb. 3oz., and 7 times 7lb. are 49tb. and 5 to carry, are 54lb. 1. How much iron is there in 9 loads, each load weighing 1T. 7cwt. 3qr. 20lb. 5oz.? 2. If 2bu. 3pk. 7qt. 1pt. of corn will fill a barrel, how much will 29 barrels hold? 3. If a locomotive run 16m. 25r. 2yd. in an hour, how far will it run in 11 hours? 4. What is the weight of 31 bars of silver, each bar weighing 4lb. 11oz. 16gr.? 5. How much molasses in 43 casks, each cask holding 97gal. 1.5pt.? 6. How much water in 15 demijohns, each holding 4Cong. 70. 3f3? 7. How much ale in 22 casks, there being 7gal. 3qt. 1pt. in each ? 8. How many yards of sheeting in 37 pieces, each measuring 31yd. 3qr. 2,5na.? 9. A draper purchased 59yd. of cloth at £1 198. 3qr. per yard. What did he pay for the whole ? 10. An apothecary compounded 39 prescriptions, putting 13 63 11gr. in each. What did the whole weigh? 11. How many acres, &c. in 41 pieces of ground, each piece being 51r. long and 28r. wide? 12. In a certain lumber yard there were 17 piles of wood, each pile being 11ft. long, 4ft. wide and 6ft. high. How many cords, &c. were there in the yard? 13. How many tons of hewn timber in 13 logs, each log being 1.5ft. thick, 2ft. wide and 48.5ft. long? 14. Multiply 1 Y. 11dy. 9h. 59sec. by 23. 15. Multiply 7m. 7fur. 4yd. 11in. by 9. 16. Multiply £16 7s. 11d. 1qr. by 29. 17. Multiply 10yd. 3qr. 2na. by 46. 18. Multiply 2T. 19cwt. 12lb. by 47. 19. Multiply 359gal. 3gi. by 13. 20. Multiply 5chal. 4bu. 3pk. by 67. 21. Multiply £7.963 by 25, and reduce the pro duct to pounds, shillings, &c. 22. In 17 times 11.851gal., how many gal., qt., Sc.? 23. In 31 times 13.0951dy., how many seconds? 24. Reduce 50 times 11.914in. to rods and decimals of a rod. 25. In 65 baskets of coal, each holding 2.75 bushels, how many chaldrons, bushels, &c.? 26. Multiply 9.759cwt. by 23, and reduce the product to ounces. 27. In 39 times 3.7yd., how many yd. qr. &c.? 28. How many drops of water in 2hhds., each hold ing 97.5gal.? 29. How many pints of chestnuts, in 9 baskets, each holding 1.37 bushels? COMPOUND DIVISION. EXAMPLE FOR THE BOARD. A legacy of £2114 18s. 9d. 2qr. was divided among 17 men. What was each man's share? £ s. d. qr. £ s. d. qr. 17) 17)211 2114 "18" 9"2 (124“ 8“ 1 " 31 17 41 34 74 68 6 20 17)138(88. 136 2 12 17) 33 (1d. 17 16 4 17)66(3qr. 51 15 We first divide the pounds, and find there are £6 remain undivided. Reduce these £6 to shillings, and add them to the 18s. Then dividing the shillings, we can give to each 8s. and have 2s. undivided. Reduce these 2 s. to pence, and add the 9d. Dividing the pence, we can give 1d. to each, and have 16d. left. Finally, reducing 16d. to quarters, and adding the 2qr., we can give to each 315. 17 1. If 17yd. 3qr. 2na. will make 5 suits of clothes, how much will make 1 suit? 2. In 4 casks of equal size there are 3bl. 3qt. of beer. How much is there in each cask? 3. If 7 demijohns hold 31 Cong. 50. 15f3, how much do they hold apiece? 4. A jeweller bought 6 agates of equal size, weighing together 1lb. 5oz. 13gr. What was the weight of each? 5. Divide 258.4gal. of molasses among 19 men, and tell how much each will receive. 6. A railway train went 103m. 7fur. in 4.5 hours. What was the rate per hour? 7. The horses in a livery stable ate 42bu. 3pk. 6qt. of oats in 39 days. What quantity was used daily ? 8. How many bins, holding 48bu. 7qt. each, can be filled from 197bu. 3pk. of oats? Reduce both to quarts. 9. In 47 boxes, there are 4T. 18cwt. 3qr. of sugar. How much is there in each box? 10. If 31 pounds of indigo cost £19 14s., what is the price per pound? 11. Divide 145 73 33 by 17. 12. A farm of 41A. 3R. was divided into 33 lots of equal size. How much did each lot contain? 13. If 19 logs of hewn timber measure 21 T. 39c.ft., what does each log measure? 14. Divide 3 Y. 360dy. into 23 equal parts. 15. If 25 barrels of flour hold 2T. 8cwt. 3qr. what does 1 barrel hold? How many pounds? 16. Divide 7m. 7fur. 4yd. 11in. by 51. 17. Divide £380 16s. 3d. by 44. 18. Divide 187chal. 43bu. 1pk. by 57. 19. Divide 221.47gal. of wine by 42. 20. Divide 29yd. by 79. 21. Divide £37.9461 by 40, and reduce the quotient to shillings, pence, &c. 22. Divide 45.97 days by 3.2, and reduce the quotient to days, hours, &c. 23. Divide 49.775cwt. by 5.83, and reduce the quotient to cut,. qr., &c. |