Rule.

Consider the answer as the fourth term, and place the number that is like it for the third.

Arrange the couplets as if the answer depended on each couplet alone, as in simple proportion.

Divide the product of the means by the product of the

extremes.

Cancel when possible.

2. If 4 horses eat 10 bushels of oats in 5 days, how many bushels will be required to feed 5 horses for 4 days?

3. If 10 men working 8 hours a day can do a piece of work in 12 days, how many days would it take 6 men, working 10 hours a day, to do the same amount of work?

4. If a wheelman rides 144 miles in 3 days of 6 hours each, how many miles can he ride in 5 days of 9 hours each?

5. A section of a street 33 feet long and 20 feet wide can be paved with 15840 stones, each 9 inches long and 8 inches wide. How many stones 12 inches long and 10 inches wide will it take to pave a street 12 rods long and 16 feet wide ?

6. If it costs $84 to carpet a room 24 feet long and 21 feet wide with carpet 27 inches wide, how much will it cost to carpet a room 25 feet long and 18 feet wide with carpet 1 yard wide?

7. If 18 men chop 360 cords of wood in 12 days of 9 hours each, how many cords could 17 men chop in 13 days of 10 hours each?

8. If 50 men, working 10 hours a day for 11 days, can dig 25 rods of a canal 60 ft. wide, 5 ft. deep, how many rods of a canal 90 ft. wide, 7 ft. deep, can 140 men dig in 22 days of 8 hours each?

9. If 60 men can build a wall 150 ft. long, 64 ft. high, 2 ft. thick, in 8 days of 10 hours each, how many days of 8 hours each will 36 men require to build a wall 180 ft. long, 80 ft. high, 2 ft. thick?

10. How many men will it require to mow 48 acres in 3 days of 12 hours each, if 6 men mow 24 acres in 4 days of 9 hours?

11. If 4 lb. 6 oz. of tea cost $2, what will 3 lb. 11 oz. cost at same rate?

12. If sufficient flour to fill 8 bags containing 98 lb. each can be produced from 16 bushels of wheat, how many bushels will be needed to fill 14 barrels of 196 lb. each?

13. My gas bill for the month of November is $3.50 when I use 6 burners 3 hours each evening. How much ought it be for the month of December, when I use 4 burners for 5 hours each evening?

14. How long a piece of cloth .4 m. wide, can be made from 175 Kg. of wool, if 45 Kg. make a piece 25 m. long and .6 m. wide?

15. How many hours daily ought 30 men to labor to perform in 10 days a piece of work which is as great as a similar job which 25 men, working 12 hr. per day, accomplished in 12 days?

16. If $475 yield $171 interest in 6 years, how long will it take $960 to double itself at the same rate?

17. A bin 8 ft. long, 6 ft. wide, and 4 ft. deep will contain 270 bushels of wheat. How deep must another bin be built, that is 12 ft. long and 9 ft. wide, to hold 405 bushels?

18. How many days ought it to take 9 men to build a wall 350 feet long, 2 feet high, and 3 ft. thick, if 10 men build a wall 312 ft. long, 6 ft. high, and 2 ft. thick, in 30 days?

PARTNERSHIP.

336. Oral.

1. Charles and John share $28 in the ratio of 2 to 5. How much has each ?

$7.

SOLUTION. Charles has $2 as often as John has $5. Both have Charles has and John of $7. Since they have respectively and of a part of $28, they must have the same fractions Therefore,

of the whole.

2. Divide 30 into two such parts as shall be to each other as 7 to 8.

3. A man and a boy together earn $48. The man has earned $3 to the boy's $1. What is each one's share?

4. A horse and a cow were bought for $150. The horse cost twice as much as the cow. What was the cost of each?

5. Divide 140 into four parts that shall be to each other as 2, 3, 4, and 5.

6. A father divided $7200 among his three sons in proportion to their ages, which were 10, 12, and 14 years respectively. What was the share of each?

7. A man divided $3.60 among three boys, giving to the first 5 cents as often as he gave 6 cents to the second and 7 cents to the third. How much did each boy receive?

8. Professor Adams caught 520 fish in a season, consisting of trout, black bass, and pickerel, in the proportion of 5, 41, and 31. How many of each kind did he catch? 337. The association of two or more persons in business is called Partnership.

The persons associated are Partners.

The association is called a Firm, or Company.

All the money or property furnished by the partners constitutes the Capital.

338. To find each partner's share of the Gain or Loss, when their capital is employed for the same time.

1. A, B, and C formed a partnership. A contributed to the capital $800; B, $1000; and C, $1200. At the end of a year they found that there was a gain of $1500. What was each man's share of the gain?

SOLUTION.

Rule.

$800 +$1000+ $1200 = $3000, entire capital.

Take for each man's share of the gain or loss such a part of the whole gain or loss as his capital is of the whole capital.

2. Mr. Wilson and Mr. Mead entered into partnership. Mr. Wilson's capital was $3000, and Mr. Mead's $2000. They gained $1500. What was each partner's share of the gain?

3. Messrs. Jones and Smith are partners, with a capital of $3000 and $5000 respectively. After one year they find that they have gained $2000. How much of the gain should each receive?

4. Three men form a partnership at the same time. A invests $1250; B, $2000; C, $1550. They gain $1200. What is each man's share of the gain?

5. Three men hired a coach to convey them to their respective homes. A's home was 20 miles away, B's 24 miles, and C's 28 miles. They paid $24 for the coach. What ought each to pay?

6. A cargo of wheat valued at $4500 was entirely destroyed. One-third of it belonged to A, two-fifths to B, and the remainder to C. What was each one's share of the loss, there being an insurance of $3600 ?

7. A man fails in business to the amount of $15000, and his available means amount to only $9000. How much will two of his creditors receive, to one of whom he owes $3000, and the other $4500?

8. A and B gain in business $2500, of which A's share is $1000, and B's $1500. What part of the capital does each furnish? and what is the investment of each if their joint capital is $16000 ?

9. I form a partnership with two members of my class. The second member invests a certain amount, the first invests as much, while I invest as much as the other two. What share of the profit do I get?

10. Purchased a flour-mill for $42000. X's share of the mill was 2, Y's 4, and Z's the remainder. At the end of three years they sold the mill at a reduction of $5000, but the profits in the business during the three years were $20000. What was each man's net gain?

11. Two persons have invested in trade $800. They gain $150. The gain and stock of the first amount to $570. What is the stock and the gain of each ?

When the capital of the partners is not employed for the same time.

A and B formed a partnership. A furnished $500 for 8 months, and B $600 for 10 months. They gained $360.

What was each partner's gain?

SOLUTION. A $500 × 8 mo. =

$4000 for 1 mo.

B $600 x 10 mo. = 6000 for 1 mo.