5. If 3 pounds of sugar cost 4 shillings, what will 6 pounds cost?

Ans. 8 s. 6. If 8 yards of muslin cost 24 shillings, what will 96 yards come to? Ans. 14 L. 8 s.

7. If 12 bushels of wheat be worth 16 dollars, how much are 48 bushels worth? Ans. 64 dols. 8. If 1 pound of butter bring 16 pence, what will 56 pounds bring? Ans. 3 L. 14 s. 8 d. 9. Sold 12 yards of cloth for 72 dollars: how much was it per yard?

Ans. 6 dols. 10. If 12 yards of cloth cost 19 L. 16 s., what will 192 yards come to? Ans. 316 L. 16 s. 11. If 96 pounds of sugar cost 3 L. 12 s., what is it per pound?

Ans. 9 d. 12. What will 421 bushels of wheat come to, at 1 dollar 35 cents per bushel ? Ans. $568.35. 13. What will 128 pounds of pork come to, at 8 cents a pound? Ans. 10 dols. 24 cts.

14. How much will 75 pounds of almonds come to, at 37 cents a pound?

Ans. $28.12. 15. If 3 yards of cloth cost 5 L. 12 s. 6 d., how much will 225 yards cost? Ans. 421 L. 17 s. 6 d. 16. If 1 pound of rice cost 44 d., what will 48 pounds cost? Ans. 18 s. 17. Bought 230 bushels of coal for 26 L. 16 s. 8 d., how much was it per bushel? Ans. 2 s. 4 d. 18. Bought 120 bushels of corn for 58 dollars: how much is that a bushel? Ans. 48 cts.

19. If 891 gallons of molasses cost 176 L. 6 s. 10 d., what is it per gallon? Ans. 3 s. 11 d.

20. What must be paid for 45 bushels, 3 pecks of potatoes, at 2 s. 8 d. a bushel ? Ans. 6 L. 2 s.

21. If 1 dozen of penknives cost 2 dollars 50 cents, how much will 4 dozen come to? Ans. $10.00. 22. If the price of one acre of land be 18 dollars, 25 cents, what will 50 acres, 2 roods, 20 perches, come to? Ans. $923.90+ 23. If 1 hundred weight of sugar cost 2 L. 11 s. 4 d., what is the price of 1 pound? Ans. 5 d. 24. If 1 hundred weight of iron be worth 1 L. 8 s., what is the value of 33 cwt. 1 qr. 22 lb.?

Ans. 46 L. 16 s. 6 d.

25. Sold 3 hundred weight of tobacco, at 18 d. per

Ans. 25L. 4s.

pound, what did it amount to? 26. If 19 dozen pair of stockings cost 136dols. 80 cents, what is the cost of 1 pair?

amount?

Ans. 60cts.

27 Bought 6cwt. of sugar at 10 cents a pound: what does it amount to? Ans. $67.20. 28. A silversmith bought 73lb. 5oz. 15dwt. of silver, for which he paid 5s. 9d. per ounce: what was the Ans. 253L. 10s. Oąd. 29. A French crown is 8s. 3d. Pennsylvania currency, how many pounds of that currency are 100 French crowns? Ans. 41L. 5s. 30. What must be paid for 53 English ells, 3 quarters of linen, at the rate of 7s. 94d. per yard?

Ans. 26L. 2s. Old. 31. If 1 yard of muslin cost 21 cents, what will 43 yards cost? Ans. $9.13. 32. If 1 yards of silk cost 2 dollars, 50 cents, what vill 1 quarter, 2 nails cost? Ans. 62 cts. 33. What is the value of 5lb. of tea, at 9s. 4 d. per pound? Ans. 2L. 11s. 6d. of coffee, at 24

34. What is the value of 795lb. cents a pound?

35. Calculate the amount of 1475 corn, at 872 cents a bushel.

Ans. $194.771. bushels of Indian Facit $1290.62.

36. What must be paid for 53 English ells, 1 quarter of Holland, at the rate of 7s. 94d. per yard?

Ans. 25L. 18s. 1 d. 37. What will a hogshead of sugar come to, weighing 7cwt. 3qrs. at 10 dollars 62 cents per hundred weight? Ans. $82.34§. 38. If 5 yards of cloth cost 28s. 4d. what is the value of 18 pieces, each containing 21 yards, 1 quarter? Ans. 108L. 7s. 6d. 39. What must be paid for 7 casks of prunes, each weighing 4cwt. 3qrs. at 2L. 19s. 8d. per cwt.? Ans. 99L. 3s. 11d. 40. If I buy 20 pieces of cloth, each 20 ells, for 12s. 6d. per ell, what is the amount of the whole?

Ans. 250L. 41. What will 4 pieces of cloth come to, containing 23, 24, 25, and 27 yards, at 72 cents per yard?

Ans. $71.28.

42. Bought 3 pipes of wine, containing 120, 124,

126 gallons, at 5s. 6d. per gallon; what did they amount to? Ans. 102L. 1s. 103d.

43. Bought 4 pieces of linen, two of which contained 27 yards each, and the other two, 25 yards each, at 62 cents per yard; what was the cost? Ans. $66.564. 44. If the price of one yard of muslin be 3s. what number of yards may be bought with 11. 17s. 6d. ? Ans. 12 yds.

45. What quantity of sugar will 23L. 10s. buy, at 26s. 8d. per hundred weight? Ans. 17cwt. 2qrs. 14lb. 46. A person bought a piece of cloth for 16L. 10s. the price of which, per yard, was 15s. how many yards did it contain? Ans. 22 yards. 47. If a person have a salary of 1333 dollars a year, and spend daily 2 dollars, 14 cents, how much will he save each year? Ans. $551.90. 48. If a person's income be 890 dollars, 50 cents a year, how much may he spend each day, to save every year 120 dols. 35cts.? Ans. $2.11. 49. If a staff 4 feet long cast a shade (on level ground) 7 feet long, what is the height of a steeple whose shade at the same time is 198 feet? Ans. 113 feet.

Note. The operation may frequently be contracted, by dividing the dividing term, and either of the other two, one by the other, or by any number that will divide them both without a remainder, using their quotients in their stead, as in the following examples.

50. If 24 yards of muslin cost 60 shillings, how much will 4 yards cost?

yds. yds. s. (12) yds. yds. s. (12) yds. yds. 24:4:80

S.

24: 4::80

24: 4 :: 80 2

5

Thus 24÷4= 6

And 60÷6=10

2)20

Ans. 10s.

10s. Ans.

51. If 36 yards of linen cost 90s. what will 12 yards cost? Ans. 30s.

52. If 24 yards of check cost 60s. what will 8 yards cost? Ans. 20s.

53. What will 12 gallons of oil come to, if 6 gallons

cost 18s.?

Ans. 36s.

54. If 8 yards of velvet cost $3.20, what will 96 yards come to ? Ans. $38.40. 55. If 9 lb. of sugar cost 9 s. 4 d., what is the value of 27 lb.?

Ans. 1 L. 8 s. 56. How much will 60 bushels of apples come to, if 4 bushels cost 1 L. 4 s.? Ans. 18 L.

INVERSE PROPORTION.

Questions in Inverse Proportion may be solved precisely in the same manner as the foregoing examples.

EXAMPLES.

1. If 12 men can build a house in 48 days, in what time could 36 men build it? Ans. 16 days. 2. If 48 men can build a wall in 24 days, how many men can do it in 192 days? Ans. 6 men.

3. If 100 men can finish a piece of work in 12 days, how many can do it in 3 days? Ans. 400 men. 4. How many labourers must be employed to finish a piece of work in 15 days, which 5 can do in 24 days?

in what time could 24 do it?

Ans. 8.

5. If 6 reapers can reap a field of wheat in 12 days, Ans. 3 days. 6. If 100 dollars in 12 months bring 6 dollars interest, what sum will bring the same in 8 months?

Ans. $150.

7. If a footman perform a journey in 3 days, when the days are 16 hours long, how many days will he require of 12 hours long, to perform the same in? Ans. 4.

8. How many yards of matting, 2 feet 6 inches broad, will cover a floor that is 27 feet long, and 20 feet broad? Ans. 72 yards.

wide?

9. What quantity of shalloon, that is 3 quarters of a yard wide, will line 74 yards of cloth, that is 14 yards Ans. 15 yards. 10. How many yards of carpeting, that is 3 quarters of a yard wide, are sufficient to cover a floor that is 18 feet wide, and 60 feet long? Ans. 160 yds. 11. If a hoard be 9 inches broad, how long must it

be to measure 12 square feet?

Ans. 16 feet.

12. How much in length that is 44 inches broad will a square foot?

make

Ans. 32 inches.

H

PROMISCUOUS EXAMPLES.

1. Calculate the value of 26 yards of linen, at 5 s. 6 d. a yard? Facit 7 L. 5 s. 9 d. 2. Purchased 156 lb. of soap for 15 dollars 60 cents; what was the price per pound?

Ans. 10 cts.

3. How many yards of cloth, 3 quarters of a yard wide, are equal in measure to 30 yards, of 5 quarters wide? Ans. 50 yards. 4. Bought 274 yards of muslin, at 6 s. 94 d. per yard. what does it amount to? Ans. 9 L. 5 s. 04 d. +2

5. In what time will 600 dollars gain the interest which 80 dollars would gain in 15 years? Ans. 2 years. 6. What quantity of wine, at 6 s. per gallon, may be bought with 18 L. 18 s.? Ans. 63 gals. 7. If 1 hundred weight of sugar cost 13 dollars 50 cents, what must be paid for 17 cwt. 3 qrs. 14 lb.? Ans. $241.314 cents. 8. A cistern has a pipe which will empty it in 10 hours: how many pipes of the same capacity will empty it in 30 minutes?

Ans. 20. 9. How many yards of paper, 2 feet wide, will be required to cover a wall which is 12 feet long, and 9 feet high? Ans. 14 yds. 1 ft. 2 in. 10. If 1 oz. of spice cost 64 d., what will 34 oz. cost Ans. 1 s. 1 d. + 11. What is the value of a piece of cloth containing 52 English ells, 3 quarters, at one dollar 76 cents per yard? Ans. $115.72.

at the same rate?

COMPOUND PROPORTION,

OR

THE DOUBLE RULE OF THREE.

Compound Proportion is compounded of two or more ranks of proportionals; five, seven, nine, &c. terms being given, to find a sixth, eighth, &c.

RULE.

Work by two or more statings in Simple Proportion; or,

Set that term which is like the term sought, in the