10. The distance from Philadelphia to Trenton is about 30 miles, 3 furlongs, 16 poles. A person, going from one place to the other, stopped at an inn, when he had trarelled 18 miles, 3 furlongs, 26 poles. How much further had he still to go? Ans. 11 M. 7 fur. 30 P.

11. Bought 145 yards, 3 quarters, of cloth, and sold thereof 95 yards, 2 quarters, 3 nails. How much remains? Ans. 50 yds. 1 na. 12. If from a piece of cambrick, containing 25 yards, 3 quarters, 3 nails, there be taken 16 yards, 2 quarters, how much will be left? Ans. 9 yds. 1 qr. 3 na.. 13. A farmer had 450 acres, 3 roods of land, but gave his son 150 acres, 3 roods, 25 perches. How much had he remaining? Ans. 299 A. 3 R. 15 P.

14. Bought several casks of cider, containing in all, 120 gallons, 3 quarts; and disposed of one cask which contained 31 gallons, 2 quarts, 1 pint. How much is there in the other casks? Ans. 89 gal. 1 pt 15. From a barrel of beer containing 31 gallons, 2 qts. there has been drawn 15 gallons, 2 quarts, 1 pint. How much remains in the barrel? Ans. 15 gal. 3 qt. 1 pt.

16. Out of a granary which contained 500 bushels of wheat, there has been taken 374 bushels, 2 pecks, 7 quarts. What quantity remains? Ans. 125 bu. 1 pe. 1 qt. 17. Charles was bound as an apprentice for 7 years. He has served 2 years, and 5 months. How long has he still to serve ? Ans. 4 Y. 7 mo.

18. James is 13 years, 2 months old, and John 9 3 months. How much older is James than John ?

years,

Ans. 3 Y. 11 mo.

Note.--The interval or space of time between two given dates is thus found:-Set the prior date under the subsequent date; and when the lower number of days is greater than the upper, take it from as many days as are in the month of the prior date, add the difference to the upper number, and set down the amount; then carry 1 to the months of the prior date, and subtract as in the foregaing examples.

F

19. Henry was born on the 20th of the 8th month, 1789, and Charles on the 18th of the 9th month, 1808.

is the difference in their ages?

What

20. A person was born on the 18th of the 5th month, (May) 1781. What was his age on the 12th of the 7th month, (July) 1808. Ans. 27 Y. 1 mo. 25 D.

21. A bond was given the 21st of the 11th month, (November) 1798; and was taken up the 12th of the 9th month, (September) 1811. What time elapsed from the day the bond was given till the day it was taken up? Ans. 12 Y. 9 mo. 21 D.

COMPOUND MULTIPLICATION.

Compound Multiplication is the multiplying of any sum or quantity which consists of divers denominations. When the multiplier does not exceed 12, work by

RULE 1.

Malmply the several denominations of the given sum or quantity, one after another, beginning with the lowest : if the product of either of them be not equal to one or more of the next higher denomination, set it down; but if it be, reduce it to that denomination, and add the number it contains thereof to the product of the same; and so proceed. If, on reducing the product of any denomination, there be a remainder, it must be placed under that denomination.

FROOF.

Double the multiplicand, and multiply by half the mul

When the multiplier exceeds 12, and is the product of two factors in the multiplication table, work by

RULE 2.

Multiply the given sum by one of said factors, and then multiply the product by the other factor. PROOF: Change the factors.

12 31 by 35

7 6 by 120

When the multiplier is not the exact product of any two factors in the multiplication table, work by

RULE 3.

Use those two factors whose product is the least short of the multiplier; then multiply the given sum by the number which supplies the deficiency, and add its product to the sum produced by the two factors.

16 6 by 47

16 8 by 112

When the multiplier is greater than the product of any two factors in the multiplication table, work by

RULE 4.

Multiply continually by as many tens less one, as there are figures in the multiplier; then multiply the last product by the left hand figure of the multiplier (if greater than 1;) again, multiply the given sum by the units figure of the multiplier, the product of the first ten by the tens figure, the product of the second ten (if any) by the hundreds figure, &c. then add the products of these several figures together, and their amount will be the product required.