23. There are three men whose mutual ages are 14 times 20yr. 5mo. 3wk. 6da.: what is the sum of their ages? Ans. 286yr. 5mo. 2wk. 24. Bought 90 hhd. of sugar, each weighing 12cwt. 2qr. 1476. what is the weight of the whole?

25. If a vessel sail 49mi. 6 fur. 8rd. in one day, how far will she sail in one month of 30 days?

Ans. 1493mi. 2 fur. 26. Suppose each of 50 farmers to raise 125bu. 3pk. 6qt. of grain: how much do they all raise?

27. If one spoon weigh 3oz. 5pwt. 15gr., what is the weight of 240 spoons? Ans. 65lb. 7oz. 10pwt. 28. If one man receive 3yd. 1qr. Ina. of cloth, how many yards will 11 men receive?

29. If a steamboat in crossing the Atlantic goes 211mi. 4 fur, 32rd. a day, how far will she go in 15 days?

Ans. 3174 miles.

DIVISION OF DENOMINATE NUMBERS.

1. If 62 yards of velvet cost £2 18s 8d, what will one yard cost? Ans. 11d. 12 far. 2. If 92 yards of broadcloth cost £71 14s Od, what is the value of 1 yard?

3. If 90 hogsheads of sugar weigh 56 T. 13cwt. 3qr. 1076., what is the weight of I hogshead?

Ans. 12cwt. 2qr. 11lb. 4. When 192 shares of a certain stock are valued at £1290 4s 0d, what would be the cost of 1 share?

5. If the earth revolve 15° on its axis in 1 hour, how far does it revolve in 1 minute? Ans. 15'. 6. If 106 tons of iron cost £1001 9s 7d, what is the value of 1 ton?

7. If 57 gallons of wine cost £23 11s 51d, what is the cost of one gallon? Ans. 8s. 31d. 8. If 59 casks contain 44hhd. 53gal. 2qt. 1pt. of wine, what are the contents of one cask?

9. When 175gal. 2qt. of beer are drank in 52 weeks, how much is consumed in one week?

Ans. 3gal. 1qt. 1pt.

10. A rich man divided 168bu. 1pk. 6qt. among 35 poor men: how much did each receive?

11. Suppose a man had 987b. 2oz. 19pwt. 5gr. of silver, how much would he give 1 man if he gave an equal Ans. 14lb. 8pwt. 11gr. 12. Divide 9hhd. 28gal. 2qt. by 12.

amount to 7 men?

13. What will be the share of one man, if 810 T. 11cwt. 2016. 10oz. 11dr. be divided equally among 346 men? Ans. 2 T. 6cwt. 3qr. 11lb. 8oz. 13dr. 14. What will be the quotient of 65bu. 1pk. 3qt. divided by 12?

15. Sold 87b. of indigo for £19 13s 8d.: how much was it a pound? Ans. £2 9s 21d. 16. I gave £8 6s 2d 2far. for 10 dozen of combs: how much did I pay for 1 dozen?

17. If I pay £12 14s 5d 3far. for 35 bushels of wheat, how much is it per bushel? Ans. 7s 3d 1far. 18. If a merchant pays £23 12s 6d for 84 yards of cloth: how much did he pay a yard?

19. Suppose a man has 246mi. 6 fur. 36rd. to travel in 12 days: how far will that be in a day?

Ans. 20mi. 4fur. 23rd.

20. Suppose the distance from New-York to Bristol, England, to be 3176 miles, and a steamship to complete the passage in 15 days: how far will she sail in one day at this rate?

21. If a steamboat should go 224 miles a day, how long would it take her to go to China, it being about 12000 miles? Ans. 53da. 13hr. 42m. 51sec.

22. How long would it take a balloon to go from the earth to the moon, allowing the distance to be about 240000 miles: the balloon ascending 34 miles per hour?

23. If a vessel sail 25° 42′ 40′′ in 10 days, how far will she sail in one day? Ans. 2° 34' 16." 24. If you pay £56 8s for 96 yards of cloth, how much do you pay a yard?

25. If one man can lift 2017b. 12oz.: how much can a boy lift, if a man lift 8 times as much as the boy? Ans. 25lb. 3oz. 8prot.

26. Divide a leap year into 102 equal parts.

27. Divide a common year into 102 equal parts.

28. If 15 loads of hay contain 35 T. 4cwt., what is the weight of each load?

29. Divide 371bu. 1pk. cf wheat equally among 270 men what will each receive?

Ans. 1bu. 1pk. 4qt.

Ans. 1618

100

6. Reduce 617 to its lowest terms.

4319

7. Reduce 123 to its lowest terms.

456

8. Reduce 45 to its equivalent improper fraction.

9. Reduce 1618 to an improper fraction.

100

10. Reduce 149119 to an improper fraction.
11. Reduce 12410 to a whole or mixed number.

Ans. 653.

12. In 67856 of pounds of sugar: how many pounds? 13. In 22085 of hhd. of wine: how many hhd.?

360

360

Ans. 61125hhd. 14. In 354 bushels of wheat: how many bushels? 15. Reduce of of of of to a simple fraction. Ans. 12

16. In of of of 21 dollars: how many dollars? 17. Reduce of of of of of 40 to a simple fraction.

18. I bought

19. Sold of

did I sell?

Ans. 55.

of 3 of a ship: what part did I buy?
of 265 of yards of cloth: how many

Ans. 131

of 15% of 5 of 100 hogsheads of sugar:

how many hogsheads?

34

21. Reduce 3, 7, 8 and 5 to a common denominator.

63

Ans. 14, 441 504 324. 639 63 63 22. What is the least common denominator of 3.

7 1 49 89 6

5, and 12?

23. What is the common denominator of 3, 5,

729 729

888

60 Ans. 54, 99, 72. 24. Reduce, and § of 11 to a common denominator. 25. What is the common denominator of of of 2,

2 of of 81, and 3 of 91?

30

20 Ans. 30, 153, 188. 26. What is the common denominator of of 2 of 3 of 3 of of 4, of 5 of 1 of 63 of 3 of 8, and 3 of 1?

TO REDUCE FRACTIONS

of 2

of 3

FROM A LOWER DENOMINATION TO A HIGHER.

1. Reduce of a pound to the fraction of a cut.

Ans.

2. If you study Arithmetic 224 part of an hour: what part is it of a week?

3. Bought of a pint of filberts: what part of a hogs

head?

4. What part of a mile is 5 furlongs?

5. Bought 3lb. of cloves: what part of a ton?

Ans. 672

Ans.

3

6. If a fly steps of a barley corn, what part is it of a league?

7. If a stone covers of a square inch of land, what part of an acre does it occupy? Ans. 25090560

3

8. Bought of 3 pounds of raisins, what part of a cwt.? 9. What part of a barrel is of 5 of 61 of a pint?

567

Ans. 25. 10. What part of a year is of 1 of 21 of 33 of an hour?

11. What is of 23 of 400 bushels of wheat? Ans. 4663 bushels.

TO REDUCE FRACTIONS

TO INTEGERS OF LOWER DENOMINATIONS.

1. Reduce of a cut. of sugar to the lower denominations. Ans. 3qr. 3lb. 1oz. 124dr. 2. I bought of a hhd. of wine: how many gallons did I buy?

640

3. Reduce 1 of a pound of laudanum to the lower denominations. Ans. 23. 3gr.

8. A man travelled of a mile: how many furlongs? 9. Reduce of a day to the lower denominations. Ans. 12hr. 55m. 23 sec.

TO REDUCE FRACTIONS

FROM A HIGHER TO A LOWER DENOMINATION.

1. What is the value in grains of 40 pounds Troy?

Ans. 1gr.

Ans. 13qt.

of an Ell English?

6 of a tun?

of of 14 of 23 of a hhd.?

TO REDUCE

A DENOMINATE NUMBER TO A FRACTION OF A GIVEN

DENOMINATION.

1. What part of a ton is 13cwt. 3qr. 20lb.?

2. What part of 4cwt. 1qr. 24lb. is 3cwt. 3qr. 177b.? 3. What part of a pound Troy is 10oz. 13pwt. 8gr.?

Ans.

4. What part of a cord is 19ft. 1196in.? 5. What part of a mile is 13fur. 21rd. 18ft. 10in. bar.?

Ans. 114295.

20592