2. A man, being asked his age, answered, that if its

half and its third were added to it the sum would be 88.

of 11 x being 88, 11 x will be 6 times 88, 11 x = 528

Dividing by 11,

x=48

Ans. 48 years.

3. If of a hogshead of wine cost $65; what will

a hogshead cost at that rate?

Ans. $104.

4. There is a pole and under water, and 5 feet out of water; what is the length of the pole? Let a denote the whole length. Then,

5. In an orchard of fruit trees of them bear apples,

of them pears, of them plums, 7 bear peaches, and 3 bear cherries; these are all the trees in the orchard. How many are there? Ans. 80 trees.

6. A farmer, being asked how many sheep he had, answered, he had them in four pastures; in the first he had of them, in the second, in the third, and in the fourth he had 24 sheep. How many had he in the whole? Ans. 96 sheep. 7. A person having spent and of his money, had $26 left. How much money had he at first? Ans. $160.

8. A man driving his geese to market, was met by another, who said good morrow, master, with your hundred geese; said he, I have not a hundred, but if I had as many more, and half as many more, and two geese and a half, I should have a hundred. How many had he? Ans. 39 geese.

9. A and B having found a bag of money, disputed about the division of it. A said that and and of the money made $130, and if B could tell how much money there was, he should have it all, otherwise none of it. How much money was there in the bag?

Ans. $120. 10. Upon measuring the corn produced in a field, being 96 bushels, it appeared that it had yielded only one third part more than was sown. sown?

How much was

Ans. 72 bushels.

11. A man sold 96 loads of hay to two persons; to the first, and to the second of what his stack contained. How many loads did the stack contain at first? Ans. 102 loads. 12. A and B talking of their ages, A says to B if, , and of my age be added to my age, and 2 years

more, the sum will be twice my age. What was his age? Ans. 84 years.

13. What sum of money is that whose,, and part added together amount to £9?

Ans. 11£. 9s. 924d.

3

14. The account of a certain school is as follows: of the boys learn geometry, learn grammar, 1 learn arithmetic, learn spelling, and 9 learn to read. What is the number of scholars in the school?

Ans. 80 scholars.

15. There is a fish whose head weighs 9 lbs. his tail weighs as much as his head and half his body, and his body weighs as much as his head and tail both. What is the weight of the fish? Ans. 32 lbs.

Represent the weight of the body by x.

16. There is a fish whose head is 4 inches long, the tail is twice the length of the head, added to of the length of the body, and the body is as long as the head and tail both. What is the whole length of the fish? Ans. 40 inches. 17. A and B talking of their ages, A says to B, your age is twice and three fifths of my age, and the sum of our ages is 54. What is the age of each?

Ans. A's 15, B's 39 years.

18. A man divided $40 between two persons; to the first he gave a certain sum, and to the second only

much. How much did he give to each?

as

Ans. The first $25, the second $15.

Let x denote the share of the first,

3 x 5

will denote

the share of the second. These added together must

19. Three persons are to share $290 in the following manner: the second is to have two thirds, and the third three fourths as much as the first. What is the share of each?

Ans. The first $120, the second $80, and the third $90.

20. A farmer wishes to mix 100 bushels of provender, consisting of rye, barley, and oats, so that it may contain as much barley as oats, and as much rye as barley. How much of each must there be in the mixture?

rye.

Ans. 48, bushels oats, 3414 bu. barley, 17 bu.

21. Divide 40 apples between two boys in the proportion of 3 to 2.

The proportion 3 to 2 signifies that the second will have as many as the first.

Ans. The first has 24, the second 16.

22. A gentleman gave to 3 persons £98. The second received five-eighths of the sum given to the first, and the third one-fifth of what the second had. What did each receive?

Ans. They received £56, £35, and £7, respectively. 23. A prize of $1280 was divided between two persons, in the proportion of 9 to 7. What was the share of each? Ans. The first $720, the other $560.

24. Three men trading in company, put in money in the following proportion; the first 3 dollars as often as the second 7, and the third 5. They gain $960. What is each man's share of the gain?

Observe, the second put in of what the first put in, and the third put in.

Ans. $192, $448, $320, respectively. 25. Three men traded together; the first put in $700, the second $450, and the third $950. They gained $420. What was the share of each?

45 14

Observe, the second put in #88 = = of what the first put in, &c.

Ans. Their shares were $140, $90, $190, respectively.

III. 1. Two men, A and B, hired a pasture together for $55, and A was to pay $13 more than B. What did each pay?

Suppose B paid x dollars; A was to pay 13 dollars more; therefore he paid + 13. These put together

must make the whole 55 dollars.