Section 15.

MISCELLANEOUS.

QUESTIONS TO EXERCISE THE FOREGOING RULES.

1. At $5 per ream, how many reams can be bought for $175 ? Ans. 35 reams. 2. At $7.50 per barrel, how many barrels of flour can be obtained for $217.50 ? Ans. 29 barrels. 3. At $75 per ton, how many tons of iron can be purchased for $4875? Ans. 65 tons. 4. At $4 per yard, how many yards of cloth can bebought for $1728 ? Ans. 432 yards. 5. If a ton of coals cost $8.40, what cost one cwt.?

Ans. 42 cents.

6. At $2.40 per bu., what cost 1 pk.? What cost 17bu. 3pk. Ans. $42.60. 7. At $3.50 per quintal, what cost 37 quintals?

Ans. $129.50.

8. John Webster bought 5cwt. 3qr. 18lb. of sugar at 9 cents per lb., for which he paid 25 barrels of apples at $1.75 per barrel; how much remains due?

Ans. $15.83.

9. If 97lb. of beef cost $8.73, what cost 1lb.? What cost 1471b.? Ans. $13.23. 10. If a man travel 45 miles in 9 hours, how far will he travel in 1 hour? How far in 59 hours?

Ans. 295 miles. 11. If a ton of hay can be purchased for $18.40, what will be the price of lcwt.? What of 47cwt.?

Ans. $43.24. 12. Bought 65 barrels of flour for $422.50, what cost one barrel? What cost 15 barrels ? Ans. $97.50. 13. For 45 acres of land, a farmer paid $ 2025; what cost one acre? What 180 acres? Ans. $8100.00. 14. For 5 pairs of gloves, a lady paid $3.45; what cost 1 pair? What cost 11 pairs? Ans. $7.59. 15. When $1480 are paid for 25 acres of land, what cost 1 acre? What cost 1 rod? What cost 37A. 2R. 18p. Ans. $2226.66.

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16. Paid $10.08 for price of one pound?

144lb. of pepper; what was the What cost 3591b.?

Ans. $25.13.

17. Paid $77.13 for 857lb. of rice; what cost 1lb. ? What cost 359lb. ? Ans. $32.31. 18. J. Johnson paid $187.53 for 987gal. of molasses ? what cost Igal.? What cost 329gal.? Ans. $62.51. 19. For 47 bushels of salt, J. Ingersoll paid $26.32; what cost 1 bushel? What cost 39 bushels ?

Ans. $21.84. 20. If 15 men can perform a piece of work in 10 days, how long would it take one man to perform the same labor? How long 75 men? Ans. 2 days. 21. A certain field will pasture 10 horses 9 weeks; how long will it pasture 1 horse? How long 18 horses? Ans. 5 weeks. 22. If a mechanic, by laboring 9 hours per day, can perform a certain piece of work in 10 days, how long would it take him by laboring one hour per day? How long by 15 hours per day? Ans. 6 days. 23. Bought a silver tankard, weighing 2lb. 7oz. for $ 46.50; what did it cost per oz.? How much per lb. ? Ans. $18.00. 24. Bought 3T. lcwt. 18lb. of leather at 12 cents per lb., and sold it at 9 cents per lb. ; what did I lose?

Ans. $205.50. grade a certain rail

25. Phineas Bailey has agreed to road at $5.75 per rod; what will he receive for grading a road between two cities, whose distance from each other is 37m. 7fur. 29r. ? Ans. $69856.75. 26. Bought a hogshead of molasses, containing 100 gallons, for $25; but 15gal. 3qt. having leaked out, I sold the remainder at 12 cents a quart; what did I gain? Ans. 15.44. 27. From a large farm, containing 765A. 3R. 14p., there were sold 144A. at $75 per acre, and the remainder was sold at $1.67 per square rod; what was the whole amount ? Ans. $176954.98. 28. Bought 15T. 3cwt. 15lb. of iron at 6 cents per pound; sold 6T. 1cwt. 1qr. 18lb. at 5 cents per lb., and the remainder at 10 cents per lb. ; what did I gain?

Ans. $678.14.

29. John Smith has 3 farms, the first contains 89A. 3R. 39p.; the second 97A. IR. 15p.; and the third 117A. IR. 19p. He gave his son 175A. 3R. 29p. and he sold the remainder at $1.25 per square rod. What did he receive ? Ans. $25755.00. 30. A lady gave her daughter $10 to go a "shopping"; having purchased 2yd. of silk, at $ 1.27 per yd., a bonnet for $3.75, 3 pairs of gloves at 0.19 a pair, and two fans at 0.37 each, she returned the remainder of the money to her mother; what was the sum ?

Ans. $2.40.

Section 16.

COMPOUND MULTIPLICATION.

MENTAL OPERATIONS.

1. If a penknife cost 9d., what will 2 penknives cost? What will 3? What will 4 ?

2. If a yard of cloth cost 1s. 6d., what will 2yd. cost? 4yd. 6 yd.? 7yd. ?

3. A boy bought a top, for 1s. 2d.; what will 3 tops cost? What will 5 tops cost ?

4. If a man walk_7m. 4fur. in 1 day, how far will he walk in 2 days? In 3 days? In 5 days?

5. If a man consume 5lb. 6oz. of meat in 1 week, how much will he require in 3 weeks?

6. If a small book

What will 4 books?

cost 9d., what will 2 books cost? What will 6 books?

FOR THE SLATE.

1. If an acre of land cost £14. 5s. 8d. 2qr., what will

9 acres cost?

OPERATION.

£. 8. d. qr. 14 5 8 2

9

128 11 4 2

Ans. £128. 11s. 4d. 2qr.

In performing this question, we say 9 times 2 farthings are 18 farthings; these farthings, we reduce to pence by dividing them by 4; and we find the result to be 4d.

and 2 farthings remaining. We set down the 2 farthings and carry 4 to the next product. We then say 9 times 8 pence are 72 pence, to these we add the 4 pence, which make 76 pence, which we divide by 12, the number of pence in a shilling, and find the result to be 6 shillings and 4 pence, we set down the pence and carry the 6 shillings to the next product. We then say 9 times 5 shillings are 45 shillings, to these we add the 6 shillings, and the sum is 51 shillings, which are equal to 2 pounds and 11 shillings. We set down the 11 shillings, and carry the 2 pounds to the next product, and then say 9 times 14 pounds are 126 pounds, to these we add the 2 pounds, and the sum is 128 pounds, which we set down under the pounds in the multiplicand, and the work is finished, and the answer is £ 128. 11s. 4d. 2qr. Hence we perceive, that when the quantity is less than 12, we may adopt the following

RULE.

Multiply each denomination of the compound number, beginning at the lowest, by the multiplier, and carry as in Compound Addition.

NOTE. The answers to the following questions are found in the corresponding numbers in Compound Division.

14. What cost 7 yards of cloth at 18s. 9d. per yard? 15. If a man travel 12m. 3fur. 29rd. in one day, how far will he travel in 9 days?

16. If 1 acre produce 2 tons 13cwt. 19lb. of hay, what will 8 acres produce?

17. If a family consume 49galls. 3qts. 1pt. of molasses in 1 month, what quantity will be sufficient for one year? 18. John Smith has 12 silver spoons, each weighing 3oz. 17dwt. 14gr., what is the weight of all?

19. Samuel Johnson bought 7 loads of timber, each measuring 7 tons 37ft.; what was the whole quantity ? 20. If the moon move in her orbit 13°. 11'. 35". in 1 day, how far will she move in 10 days?

21. If 1 dollar will purchase 2b. 83. 73. 19. 10gr. of ipecacuana, what quantity would 9 dollars buy?

22. If 1 dollar will buy 2A. 3R. 15p. 30yd. 8ft. 100in. of wild land, what quantity may be purchased for 12 dollars?

23. Joseph Doe will cut 2 cords 97ft. of wood in 1 day; how much will he cut in 9 days?

24. If 1 acre of land produce 3ch. 6bu. 2pk. 7qt. 1pt. of corn, what will 8 acres produce?

II. If the quantity be such as may be resolved into two or more factors, that is, two or more numbers, whose product shall be equal to the quantity, the compound number may be multiplied by 1 of those numbers, and the product by the other, and the last product will be the value of the whole quantity.

25. What cost 24 yards of broadcloth at £2. 7s. 11d. per yard?

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