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7. Multiply 42.62 by 38. 8. Multiply 137.583 by 17. 9. Multiply 13.946 by 58. 10. Multiply 2.5837 by 15. 11. Multiply .464 by 27. 12. Multiply .0038 by 9. 13. If a barrel of flour cost $5, what cost .6 of a barrel? 14. At $90 per hhd., what cost .7 hhd., that is, to of a hdd. ?

15. At $45 per hhd., what cost .8 hhd., that is, % of a hhd. of gin!

16. At $20 per hhd., what cost 2.9 hhds., that is 24 hhds. of molasses ?

17. At $25 per ton, what cost 7.6 tons of hay ?
18. At $95 per ton, what cost 3.7 tons of iron ?
19. At $32 per ton, what cost 14.25 tons of logwood ?
20. At $220 per ton, what cost 19.47 tons of hemp ?
21. At $57 per ton, what cost 3.5 tons of alum ?

22. At $45 per thousand, what cost 2.5 thousands of staves ?

23. What is .5 of 128 ?
24. What is .25 of 856 ?
25. What is .125 of 856 ?
26. What is .287 of 2487 ?
27. Multiply 2487 by .287.
28. Multiply 4306 by 3.5.
29. Multiply 87 by 2.8.
30. Multiply 1864 by 3.25.
31. Multiply 30067 by 1.3873.
32. Multiply 10372 by 61–6.5.
33. Multiply 468 by 71=725.
34. Multiply 46800 by 131
35. Multiply 36038 by 13.
36. Multiply 130407 by 57's.

37. At.3 of a dollar a gallon, what cost 2 of a gallon of molasses ?

38. What is .2 of .3, that is in of io ? 39. Multiply 3 by 2. 40. At $.90 per gallon, what cost .4 of a gal. of wine ? 41. At $.25 per Ib. what cost 2.8 lb. of butter? 42. At $.36 per Ib., what cost 4.5 lb. of sperm candles ? 43. At $.47 per piece, what cost 4.3 pieces of nankin ? 44. At $5,37 per yard, what cost 7.4 yards of cloth ?

45. At $13.50 per bbl., what cost 14 bbls. of pork ! 46. At $25.45 per ton, what cost 181 tons of hay? 47. At $140.50 per ton, what cost 134 tons of potashes ?

48. If an orange is worth $.06, what is .3 of an orange worth?

49. If a bale of cotton contains 4.37 cwt., what is .45 of a bale ?

50. Multiply 4.5 by 2.3.
51. Multiply 13.43 by 1.4.
52. Multiply 43.25 by .8.
53. Multiply 284.43 by 1.02.
54. Multiply 18.325 by 1.38.
55. Multiply 6.4864 by 2.03.
56. Multiply 14.00643 by .5.
57. Multiply 3.400702 by 1.003.
58. Multiply 1.006 by .002.
59. Multiply 1.0007 by .0003.
60. Multiply.3 by .2.
61. Multiply .04 by .2.
62. Multiply .003 by .01.
63. Multiply .0004 by .025.
64. Multiply .0107 by .00103.
65. Multiply 1.340068 by 1.003084.

Miscellaneous Examples. 1. At $12 per cwt. what cost 5 cwt. 3 qrs. of sugar ? Note. 5 cwt. 3 qrs. is 5cwt., that is 5.75 cwt.

2. At $25 per cwt., what cost 37 cwt. 3 qrs. 14 lb. of tobacco ?

Note. The quarters and pounds may first be reduced to a common fraction and then to decinials. qrs. 14 lb. are 98 lb., that is of 1 cwt., and =.875; therefore, 37 cwt. 3 qrs. 14 lb. is equal to 37.875 cwt. ; this multiplied by 25 gives $946.875.

3. What cost 5 cwt. 2 qrs. 19 lb. of raisins, at $11 per

cwt. ?

4. What cost 13 cwt. 1 qr. 15 lb. of iron, at $4.27 per

cwt. ?

per hhd. ?

Note. 13 cwt. 1 qr. 15 lb.=1313 cwt.=13.383+cwt. This multiplied by $4.27 gives $57.14541. Observe, that there must be as many decimal places in the product as in the multiplicand and multiplier together. In this instance here are five places. It is not necessary to notice any thing smaller than mills in the result, therefore $57.145 will be sufficiently exact for the answer.

5. What cost 12 cwt. O qrs. 19 lb. of rice, at $3.28 per cwt. ?

6. What cost 13 cwt. 2 qrs. 4 lb. of hops, at $5.75 per cwt.

7. What cost 3 hhds. 43 gal. of wine, at $98 per hhd. ?

Note. 3 hhds. 43 gal. is 31 hhds.; this reduced to a decimal is 3.683 hhds., nearly.

8. What cost 17 hhds. 18 gal. of molasses, at $23.25 per hhd. ?

9. What cost 13 hhds. 53 gal. of gin, at $47.375 per nhd.?

10. What cost 4 hhds. 27 gal. 3 qts. of brandy, at $108.42

11. Express in decimals of an cwt. the quarters, pounds, and ounces in the following numbers :-3 cwt. 2 qrs. 22 lb. ; 17 cwt. I qr. 11 lb. 5 oz. ; 4 cwt. 0 qr. 16 lb. 3 oz.

12. Express in decimals of a hogshead the gallons, quarts, pints, &c. in the following numbers :-43 hhds. 17 gal. 2 ats; 14 gal. 6 qts. 1 pt. ; 7 hhds. O gal. 3 qts. 1 pt.

13. What cost 8 gal. 3 qts. 1 pt. of gin, at $0.43 per gal. ? 14. What cost 17 Ib. 13 oz. of sugar, at $0.12 per lb. ? 15. What cost 231b. 7 oz. of sugar, at $11.43 per cwt. ?

16. What cost 11 gals. 2 qts, of brandy, at the rate of $98.48 per hhd. ?

17. What cost 17 yds. 3 qrs. 2 nls. of broadcloth, at $7.25 per yard !

18. What cost 2 grs. 3 nls. of broadcloth, at $6.42 per

Express the fractions in the following examples in decimals.

19. What part of 1 yd. is 3 qrs. 2 nls. ?
20. What part of I yard is 1 qr. 3 nls. ?
21. What part of 1 ]b. Avoirdupoig is 13 oz. ?
22. What part of 1 qr. is 17 lb. ?
23. What part of I gr. is 13 lb. 5 oz. ?

yard ?

24. What part of a day is 6 hours ?
25. What part of a day is 16 h. 25 min. ?
26. What part of a day is 13 h. 42 min. 11 sec. ?
27. What part of an hour is 47 min. ?
28. What part of an hour is 38 min. 47 sec. ?
29. What part of a rod is 13 ft. ?
30. What part of 1 ft. is 2 in. ?
31 What part of 1 ft. is 7 in. ?
32. What part of a rod is 7 ft. 4 in. ?
33. What part of a mile is 7 rods, 13 ft. ?
34. What part of 1£. is 13s. 6d. ?
35. What part of ls, is 5d. 1 qr?
36. What part of 1£. is 11s. 5d. 3 qr. !

37. At 2.£. 58. per cwt., what cost 5 cwt. 3 qrs. of raisins?

Note. · 2£. 58.2.25£., and 5 cwt. 3 qrs.=5.75 cwt. Multiplying these together, the result is 12.9375€. The decimal part of this result may be changed to shillings and pence again. .9375£. is .9375 of 20 shillings; therefore if we multiply 20 shillings by .9375, or, which is the same thing, if we multiply .9375 by 20, we shall obtain the answer in shillings and parts of a shilling. This is evident also from another course of reasoning. .9375£. is now in pounds; if it be multiplied by 20 it will be reduced to shillings.

.9375

20

18.7500 The result is 18 shillings and .75 of a shilling, which

may in like manner be reduced to pence by multiplying it by 12.

.75
12

9.00 The result is 9d. The answer, therefore, is 12£. 188. 9d.

38. What cost 3 cwt. 2 qrs. 7 lb. of hops, at 2£. 3s. 68.

per cwt. ?

39. What cost 17 yds. 2 qrs. 2 nls. of broadcloth, at 2£. 5s. 7d. per yard ?

40. What cost 8 cwt. I qr. 13 lb. of wool, at 3£. 7s. 6d.

per cwt, ?

41. What cost 3 hhds. 43 gals. of wine, at 32.£. 14s. 8d.

per hhd.?

42. How many cwt. of raisins in 7 casks, each cask con taining 2 cwt. O qrs. 25 lbs ?

Note. 7=7.6 and 2 cwt. 0. qrs. 25 lb.=2.2232+ cwt. These multiplied together produce 16.8957 cwt. The fractional part of this may be changed to quarters, pounds, &c. as the fractions in the last examples were changed to shillings and pence. . .8957 cwt. is .8957 of 4 quarters, or it is hundred-weights and may be reduced to quarters and pounds by multiplying by 4, and by 28.

.8957

[blocks in formation]

5.0944 The answer is 16 cwt. 3 qrs. 16 lb. 51 oz. nearly. The same result may be obtained by changing the decimal .8957 cwt. to a common fraction, and proceeding according to the method given in Art. XVI.

43. How many cwt. of cotton in 57 bales, each bale containing 4 cwt. 3 qrs. 7 lb.?

44. How many cwt. of coffee in 13 bags, each bag con taining 1 cwt. 3 qrs. 15 lb. ?

45. Find the value of .387£. in shillings, pence, and far things.

46. Find the value of .9842£. in shillings, pence, and farthings.

47. Find the value of .583 cwt. in quarters, pounds, &c. 48. Find the value of .23 cwt. in quarters, pounds, &c.

49. Find the value of .73648 cwt. in quarters, pounds: &c.

50. Find the value of 764s. in pence and farthings,

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