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3. A merchant on settling his accounts finds that he owes A 60 dollars, B 150 dollars, C 240 dollars, and to D 100 dollars. How much does he owe in all ?

Ans. 550 dollars. 4. A man borrowed a sum of money and paid in part 267 dollars, and afterwards paid the remainder, 325 dollars : how much did he borrow ? Ans. 592 dollars.

5. At the Custom House, on the first day of June, there were entered 1800 yards of linen; on the 10th 2500 yards; on the 25th, 600 yards; on the day follow. ing, 7500 yards; and the three last days of the month, 1325 yards each day: what was the whole amount entered during the month ?

Ans. 6. A farmer has his live-stock distributed in the follow. ing manner: in pasture No. 1, there are 5 horses, 14 cows, 8 oxen, and 6 colts; in pasture No. 2, 3 horses, 4 colts, 6 cows, 20 calves, and 12 head of young cattle; in pasture No. 4, 320 sheep, 16 calves, 2 colts, and 5 head of young cattle. How much live-stock had he of each kind, and how many head had hè altogether?

Ans. 8 horses, 20 cows, 8 oxen, 12 colts, 36

calves, 17 head of young cattle, and 320

sheep. Total live-stock, 421 head. 7. What is the interval of time between a transaction which happened 125 years ago, and one that will happen 267 years hence ?

8. A merchant paying his debts pays to one man 703 dollars; to another 4663; to another 37; to several others 49763; to another 6178, and to another 671 : how much did he

pay
in all ?

Ans. 62075. 9. A government paid for repairing and building vessels of war as follows: at one time 4550 dollars; at another 247000; at another 936 ; and at another 7000700 : how much did it pay in all ?

Ans. 7253186. 10. A debtor pays his creditor at one time 4638 dol. lars; at another 216; at another 8329; at another 1212: how much does he pay in all ?

Ans. 14395. 11. A bookseller had books on five rows of shelves : on one row 5221 ; on another 7540; on a third 1638; on a fourth 5648; on a fifth 7300 : how many on all ?

Ans. 392 years.

12. A grocer bought at one time 6214 pounds of raisins; at another 2403 pounds ; at another 590 ; at" another 8732; at another 1217, and at another 2464 : how many pounds in all ?

Ans. 21620. 13. A man has 7420 hats in one store ; in another 612; in another 2541; in another 9103; in another 430 ; in another 1000 : how many in all ?

14. A lot of Sicily oranges came in boxes as follows: 1st box 3750; 2d box 216 ; 3d box 8481; 4th box 275 ; 5th box 8610; 6th box 2541 : how many oranges in all ?

Ans. 23873. 15. A bookbinder bound books on different days, as follows: 423, 315, 531, 414, 612, 234, 621, 414, 711, 144, 621 and 918 : how many did he bind in all ?

Ans. 5958. 16. A paper dealer bought paper at different times as follows : 5674 reams, 2004, 8601, 3430, 47, 1101, 7, 24651, 90, and 314: how many reams did he buy in all ?

Ans. 45919. 17. In ten cities and villages the number of houses is as follows: 1728, 26510, 35, 100, 3261, 9, 245, 16408, 6733, and 40000 : how many in all ? Ans. 95029.

18. There are 60 seconds in a minute, 3600 in an hour, 46400 in a day, 604800 in a week, 2419200 in a month, and 31557600 in a year: how many seconds in the time named above ?

Ans. 34631660. -19. Suppose a merchant to buy the following parcels of cloth : 3912 yards, 1856, 2011, 4540, 937, 6338, 3603, 1586, 2044, 2951, 4228, 1345, 1011, 6138, 960, 607, 5150, 13886, 617, 7513, 4079, 743, 612, 2519, 1238, and 2445 yards : how many yards in all ?

20. Nine different countries contained inhabitants as fellows: 1st country 11260555; 2d, 717103; 3d, 2092014 ; 4th, 6846949; 5th, 310000; 6th, 40981 ; 7th, 20827 ; 8th, 2860 ; 9th, 2614 : how many inhabitants in all the countries ?

Ans. 21293903. 21. A four merchant bought barrels of flour as fol. lows: in Ist lot 4000; 2d, 570; 3d, 99; 4th, 54; 5th, 273; 6th, 69073; 7th, 4000 ; 8th, 61998; and in the 9th, 752 : how many in all ?

22. Suppose a man was born on the 1st of January, 1795: when will he be 85 years old ? Ans. In 1880.

23. If one man raises 24031 bushels of wheat, another 1320, another 40214, and another 34314; how many bushels are raised in all ?

Ans. 99879. 24. What is the sum of two millions bushels of corn, five hundred and thirty-one thousand bushels, one hun. dred and twenty bushels, fourteen thousand bushels, thirty thousand and twenty-four bushels, five hundred and sixty bushels, and seven hundred and two bushels ?

Ans. 2576406 25. A merchant bought three bales of cloth; the first contains 61297 yards; the 2d, 100038 ; the 3d, 289163, yards : how many yards in all ?

Ans. 450498. 26. An

army consists of 4000 foot-soldiers, 4006 cav. alry or horse, 3093 artillery-men, 1224 riflemen, 1400 pioneers, and 200 miners: what is the whole number of men in the army ?

Ans. 13923 27. The mail route from Albany to New York is 144 miles, from New York to Philadelphia 90 miles, from Philadelphia to Baltimore 98 miles, and from Baltimore to Washington City 38 miles : what is the distance from Albany to Washington ?

Ans. 28. If you travel on one journey 6243 miles ; on another 4123 miles-; on another 9401, and on another 130 miles; how far do you travel in all ?

Ans. 19897 miles. 29. A man dying leaves his only daughter nine hundred and ninety-nine dollars, and to each of three sons two hundred dollars more than he left the daughter. What was each son's portion, and what the amount of the whole estate ?

dollars.

Whole estate dollars. 30. There are 243 boys in one town; 5021 in another; 7628 in a third ; 9207 in à fourth; 64 in a fifth ; 5823 in a sixth ; 742 in a seventh ; 796 in an eighth ; 5009 in a ninth ; 325 in a tenth; 7426 in an eleventh ; 31186 in a twelfth ; 987 in a thirteenth; 6954 in a fourteenth ; and 2748 in a fifteenth : how many in all ? .

Ans. 84159.

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31. The number of acres of the public lands sold in 1834 was 4658218; in 1835, 12564478; in 1836, 25167833. The number sold in 1840 was 2236889; in 1841, 1164796; in 1842, 1129217. How many acres were sold in the first three, and how many in the last three years ?

Ans.
| 1st 3yrs. 42390529.

4530902. 32. What was the population of the British provinces in North America in 1834, the population of Lower Canada being stated at 549005, of Upper Canada 336461, of New Brunswick 152156, of Nova Scotia and Cape Breton 142548, of Prince Edward's Island 32292, of Newfoundland 75000 ?

Ans. 1287462. 33. The library of Alexandria contained 700000 volumes; that of Rome contains about the same; that of Paris 1200000; the other libraries of France about 3000000; those of Germany and St. Petersburgh 2600000; the Vatican library at Rome 360000, and 40000 MSS. ; the other libraries of Italy about 700000; the Bodleian library at Oxford, England, about 500000; the library of the British Museum 240000; and the public libraries in the United States about 150000 volumes : how many volumes in the libraries enumerated ?

Ans. 34. What was the whole number of inhabitants in the United States in 1840; there being in Maine 501,793; New Hampshire 284,574 ; Vermont 291,948; Massachusetts 737,699; Rhode Island 108,830 ; Connecticut 309,978; New York 2,428,921 ; New Jersey 373,306 ; Pennsylvania 1,724,033 ; Delaware 78,085, Maryland 469,232 ; Virginia 1,239,797 ; North Carolina 753,419; South Carolina 594,398; Georgia 691,392; Alabama 590,756 ; Mississippi 375,651; Louisiana 352,411; Tennessee 829,210; Kentucky 779,828; Ohio 1,519,467; Indiana 685,866 ; Illinois 476,183; Missouri 383,702; Arkansas 97,574; Michigan 212,267 ; Florida 54,477; Wisconsin Territory 30,945; Iowa Territory 43,112; District of Columbia 43,712; Naval Service 6,100 ?

Ans. 17,068,666.

SUBTRACTION OF SIMPLE NUMBERS.

16. John has 6 apples and Charles has 4: how many more apples has John than Charles ?

Ans. 2. Two is called the difference between the number of apples which John has, and the number of apples which Charles has.

SUBTRACTION is the process of finding the difference between two numbers.

The larger of the two numbers is called the minuend, the less is called the subtrahend, and their difference is called the remainder.

OF THE SIGNS.

17. The sign –, is called minus, a term signifying less. When placed between two numbers it denotes that the one on the right is to be taken from the one on the left.

Thus, 6–4=2, denotes that 4 is to be taken from 6. Here 6 is the minuend, 4 the subtrahend, and 2 the remainder.

When the numbers are small, their difference is apparent, and instead of saying, 6 minus 4 equals 2, we say, 4 from 6 leaves 2.

1. John has 9 cents and spends 6: how many has he left ?

2. James has 7 marbles and gives 5 to William : how many has he left ?

3. Isaac has 10 quills and lends Thomas 4: how many has he left ?

16. What is Subtraction? What is the larger number called ? What is the smaller number called? What is the difference called ? In the first example, which number was the minuend? Which the subtrahend? Which the remainder ?

17. What is the sign of subtraction? What is it called ? What does the term signify? When placed between two numbers what does it denote? When the numbers are small how do you read them, as 6–4?.

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