SECTION 59.-1. What is the division of a compound number called? Ans. Compound Division.

2. If a certain pipe fills a cistern in 2 h. 21 min. 25 sec., how long will it take 4 such pipes to fill it ?

MODEL. If a certain pipe fills a cistern in 2 h. 21 min. 25 sec., four such pipes will fill it in of 2 h. 21 min. 25 sec.

4 is not contained in 2 h.; we therefore reduce 2 h. to minutes (120 min.), which we add to the 21 min., getting 141 min. of 141 min. 35 min., and 1 min. remainder. We reduce this remainder, 1 min., to seconds (60 sec.), and add the result to the 25 sec., getting 85 sec. of 85 sec. 21 sec. Ans. 35 min. 21 sec.

3. If 1 man can do a piece of work in 4 h. 45 min., how long will it take 6 such men to do it?

4. Dividing 20 bu. 7 pk. 3 qt. of potatoes into 10 equal heaps, how much have we in each heap?

5. It took James as long to walk a certain distance as it did Andrew. If it took Andrew 1 h. 42

min., how long did it take James?

6. A certain keg contained 5 gal. 2 qt. 1 pt. of wine mixed with water. If of the mixture was water, how much wine was there in the keg?

7. A grocer had 2 cheeses, one of which weighed as much as the other. If the larger weighed 14 lb. 4 oz., what did the smaller weigh? If the smaller weighed 14 lb. 4 oz., how much did the larger weigh?

8. If a person's weekly expenses average $40.25, how much is that per day?

9. How much will 1 portfolio cost, if they are $21.60 a dozen?

10. A person bought some goods for $25.80, and sold them for of that sum; what was his loss?

11. How many bags, holding 1 bu. 1 pk. 2 qt. each, will 11 bu. 3 pk. 2 qt. of oats fill?

MODEL. As many bags as 1 bu. 1 pk. 2 qt. is contained times in 11 bu. 3 pk. 2 qt. 1 bu. 1 pk.=5 pk. 5 pk. 2 qt.=42 qt. 11 bu. 3 pk. 47 pk. 47 pk. 2 qt.=378 qt. 42 qt. are contained in 378

qt. 9 times. Ans. 9 bags.

12. How many books, costing 2s. 6d. each, can be bought for £1 7s. 6d. ?

13. How many pitchers, holding 1 qt. 1 pt. 3 gi. each, will 4 gall. 2 qt. 1 pt. 2 gi. fill? How many will 1 gal. 3 qt. 1 pt. fill?

14. How many dishes, at $1.10, can be bought for $5.50? For $11?

CHAPTER TENTH.

MISCELLANEOUS

EXAMPLES.

SECTION 60.-1. Fifteen barrels of pork, bought for $23 a barrel, were sold for $23.62. What was the profit on the lot?

2. Five yards of cloth were bought for $32.50; being damaged, they were sold at a loss of $2.75. What did they bring per yard?

3. At what price each must I sell 12 tables, in order to gain $15, if the whole were bought for $60 ?

4. A merchant bought 25 yd. of silk for $52.50. He sold 15 yd. of it at $2 a yard, and the rest for $2.60 a yard. Did he gain or lose on the whole, and how much?

5. Bought 10 stoves for $150; at what price must they be sold apiece, in order to make the cost of one stove on the whole ?

6. If a person buys a ton of hay for $20, and sells 5 cwt. at 80c. a cwt., and 7 cwt. at 90c., what must he sell the rest for per cwt., so as not to lose on the whole ?

7. A woman buys some oranges at 2 cents apiece. She sells half of them at the rate of 2 for 3 cents, and the rest at the rate of 3 cents apiece. She makes a dollar; how many oranges had she?

8. Three persons bought some goods for $125.90, and sold them for $150.41. What was the profit of each?

9. Eight desks were bought for $25 each, and sold for $23.75 each. How much did the owner lose?

10. A person, having bought 3 barrels of flour for $28.80, let his brother have of a barrel at cost; how much was that?

11. A farm was sold for $1800, which was of its cost. What was the loss?

12. How many bushels, &c., of apples, worth 80 cents a bushel, should be given for 3 yards of cloth, worth $3.50 a yard?

13. £1 is worth $4.86; at this rate, how much is one shilling worth? One penny ?

14. A franc is worth 19c., a shilling 22c.; how many francs are equal in value to 1 shilling?

15. Three men bought a horse for $125. After keeping him 2 months 15 days, during which time they paid $20 a month for stabling, they sold him for $130. What was each man's share of the loss?

16. If 7 oranges are equal in value to 1 pine-apple, and 3 pine-apples to 28 lemons, how many oranges are 8 lemons worth?

MODEL. If 28 lemons are worth 3 pine-apples, 1 lemon is worth of 3 pine-apples, or of 1 pine-apple; and 8 lemons are worth 8 times, or 2, or 4, of a pine-apple. But 7 oranges equal 1 pine-apple in value; hence, if 8 lemons are worth of a pine-apple, they must be worth of 7 oranges, or 6 oranges. Ans. 6 oranges. 17. If 2 apples are worth as much as 1 pear, and 3 melons as much as 10 pears, how many melons should be given for 80 apples?

18 A boy, having sold 1 bu. 2 pk. of blackberries at 10c. a quart, took in part payment 1 pk. 2 qt. of timothy seed, at $2.40 a bushel. How much was still due him?

19. How many guineas are £10 10s. equal to ?

SECTION 61.-1. How long will it take 15 men to do a piece of work, if 5 men can do it in 9 days?

MODEL. 15 is 3 times 5. 3 times the number of men can do the work in of the time. of 9 days is 3 days. Ans. 3 days.

2. If 2 pipes will empty a cistern in 14 hours, how many such pipes will empty it in 10 min. ?

3. If 2 barrels of flour will last 8 persons 64 weeks, how many days will it last 4 persons?

4. If a person walks of a mile in 12 minutes, how far at that rate will he walk in an hour? How far in 1 hour 36 minutes ?

5. If 8 yards of muslin cost $1.92, how much will 24 yards cost?

6. How long will it take a person working 8 hours a day to paint a house, if he can do it in 10 days, working 12 hours a day?

7. If 3 tons of hay cost $57, what cost 4 tons?

8. How far will a locomotive, moving at the rate of 6 miles in 15 minutes, go in an hour and a half?

9. If a barrel of flour lasts 6 adults and 3 children 20 days, how long at the same rate will it last 15 adults, rating 2 children as equal to 1 adult?

10. What is the freight on 7 tons 4 cwt., at the rate of $4.50 a ton?

11. If 4 loads of hay will serve 6 horses 3 weeks, how many weeks will 5 such loads serve 9 horses?

MODEL. If 4 loads serve 6 horses 3 weeks, 1 load will serve 6 horses of 3 weeks, or 2 of a week,-and will serve 1 horse 6 times

of a week, or 4 weeks. Five loads will therefore serve 1 horse 5 times 44, or 45, weeks,-and will serve 9 horses of 5 weeks, or §, or 2 weeks. Ans. 24 weeks.

12. How many acres can 6 men mow in 10 days, if 4 men can mow 30 acres in 5 days?

13. If 3 men cut 12 cords of wood in 6 days, how many days will it take 4 men to cut 9 cords?

14. If it takes 12 men 5 days to do a certain piece of work, how many men will it take to do three times as much work in 10 days?

15. If the freight on 4 tons of merchandise for 20 miles is $6, how much is it, at the same rate, on 15 cwt., for 30 miles ?

16. If 6 men in 4 days can build 80 rods of stone wall, how many men will be required to extend the same wall a mile further in 12 days?