10. A farmer raised 34 bushels of corn to the acre on

a field of 213 acres; find the entire yield.

II. A train runs 22 miles per hour between two towns 265 miles apart; how many hours are required to make the whole distance?

12. A farmer had 397 acres in corn, cotton, and oats; he had of it in corn, and of it in cotton; how many acres did he have in oats?

13. Two farms sold for $11 652. The smaller one contained 239 acres, and brought $16 per acre; the other brought $19 per acre; how many acres in the large farm?

14. A trader bought a plantation for $14 per acre, and sold it for $15 824, gaining $2 per acre; find the amount he paid for the plantation.

15. How many pounds of sugar must a grocer sell in order to gain $5.25, if he gains cent on every pound?

16. Make a receipted bill for the following: 14 barrels potatoes, at $2.10; 3 barrels onions, at $4.25; cow-peas, 16 bushels, at $1.25; tomatoes, 4 bushels, at $1.10; sweet potatoes, 12 bushels, at $1.40.

17. If 61 yards of ribbon be cut into 3 equal pieces, what is the length of a piece?

18. The remainder is 16g; the minuend is 17; what is the subtrahend?

19. The quotient is ; the dividend is; what is the divisor?

20. The remainder is 13; the subtrahend is 23; what is the minuend?

What part of 100 is each of the following numbers?

519. Numbers that will divide 100 without a remainder are called Aliquot Parts of 100.

520. Written Problems.

1. A dealer pays $125 for 1000 dozen eggs; what do they cost per dozen? How many dozen to the dollar?

2. A hotel buys 300 chickens at 6 to the dollar; what do they all cost? How much apiece?

3. At 15 pounds to the dollar, what is the cost of 450 pounds of sugar? How much a pound?

4. At 163 cents, how many pounds of cheese can be bought for $36? How many pounds to the dollar?

5. At 12 cents a pair, $100 will pay for how many pairs of cotton gloves? How many pairs to the dollar?

6. At 15 to the dollar, what is paid for 300 cocoanuts? How much apiece?

At 9 to the dollar, how much would be paid for 180 bars of soap? How much apiece?

RATIO

521. Oral Questions.

1. Can you buy as many postage stamps with a dime as you can buy with a dollar? The dollar is how many times the dime? The stamps you buy with the dollar are how many times the stamps you buy with a dime?

2. What are 36 eggs worth if 12 eggs cost 20 ¢?

36 eggs are 3 times 12 eggs; therefore, the cost of
36 eggs is 3 times as great as the cost of 12 eggs.

3. What part of 36 eggs are 12

eggs?

12 eggs= }} of 36 eggs = 1 of 36 eggs;

Or, as a ratio, 12 eggs are to 36 eggs as 1 is to 3.

522. The Ratio of 36 to

12 is 3, because 36 is 3

The Ratio of 12 to 36 is

times as great as 12.

, because 12 is as great as 36.

The sign of Ratio is the colon (); it means division.

5. Five yards is to 10 yards as 1 is to what number? 6. What is the ratio of 6 to 18? of 18 to 6? of 3 to 16? of 100 to 12?

523. Written Problems.

1. How far should a train run in 9 hours if in 3 hours it run 100 miles?

The ratio of 9 hours to 3 hours is 3.

Or, Since the ratio is 3, the train will run 3 × 100 miles.

2. What is the cost of 50 bushels of corn, when 10 bushels cost $6?

50 bu.: 10 bu. = 5. Therefore, 50 bushels will cost 5 times $6.

3.

In what time can a man walk 25 miles at the rate of 2 miles in 1 hour?

4. Find the cost of 36 yards of cloth at the rate of 3 yards for a dollar.

5. How much will 24 fish cost at the rate of 3 for 50 cents?

6. For every four apples you pay 10 cents; for 48 apples you pay how much?

7. How much will 75 birds cost, at the rate of 3 birds for 25 cents?

8. How many bushels of corn can be had for 63 bushels of oats at the rate of 7 bushels of oats to 4 bushels of corn? (4×63)

9. How much does a dealer gain on 200 barrels of flour when on every eight barrels he gains $1.50 ?

10. What does it cost to ride 100 miles at the rate of

163 miles for 50 cents?

11. A train is to run 450 miles; how long will it take at the rate of 75 miles in 2 hours?

12. A man earns $180, his wages being $9 for 6 days' work; how many days does he work?

13. A dealer sorts 1000 oranges; in every 5 oranges 4 are sound; how many should he sell?

524. Oral Drill.

What part of 100 is each of the following?

I.

2.

400 pocket-knives at $.75 (4 to $3)
360 bushels of corn at $413 (12 to $5)

60 pairs of leather gloves at $.663

3.

4.

600 gross of pens at $.831