14. How many bushels of bran worth 40 cents per bushel should be mixed with bran worth 30 cents per bushel to make 100 bushels worth 36 cents a bushel?

be mixed with 80 bushels of corn worth 50 per bushel to make a mixture worth 52¢ per bushel?

16. A can do a piece of work in 20 days, B can do it in 30 days. They work together and receive $5 per day as the wages of both. What should be A's share of the total amount received? How long does it take both together to do the work? What would A receive per day if he did the work alone?

Six months thereafter,
How should a profit of

17. A partnership is formed between A with a capital of $1,500 and B with a capital of $2,500. they take in C with a capital of $4,000. $3,500 be divided at the end of the year? 18. Three merchants shipped a cargo of iron by sea. A sent 180 tons, B sent 105 tons, C sent 315 tons. During a storm the sailors were obliged to throw overboard 180 tons to save the vessel. What portion of the loss should each merchant sustain?

19. If pure milk is reduced in value from 24 per gallon to 20 per gallon by the addition of water, how many quarts of water have been placed in a can that contains 40 quarts of the adulterated article?

20. Find the entire surface of a cube whose edge measures 7 inches.

21. What is the edge of a cube whose entire surface contains 726 square inches?

MENSURATION OF PLANE SURFACES.

1124. Slate Exercises.

1. Find the circumference of a circle whose radius is x.

(Diameter 3.1416.)

2. Find the area of a circle whose radius is x.

(circumference diameter.)

3. Find the area of a circle whose diameter is x.

4. Find the area of a circle whose circumference is x.

5. What is the area of a circle whose diameter is 36 feet?

6. What is the radius of a circle whose area is 153.9384 sq. yd.?

7. What is the circumference of a circle whose area is 198.95 sq. rods?

8. Find the area of a square whose diagonal is x.

9. Find the area of a square whose diagonal is 150 rods.

10. Find the area of an isosceles triangle, its base being 56 meters, equal sides 100 meters.

11. Find the area of an equilateral triangle whose side is 12 feet.

12. Find the area of a triangle whose sides are 50 yd., 60 yd., 70 yd.

13. What is the area of a circle whose circumference is 10 feet?

(The square of the circumference × what = area?) 14. Find the area of the rhomboid, Fig. 1.

40 rd.

33

FIG. 1.

25 rd.

7

20. Find the altitude, AB, of the following triangle, Fig. 7:

21. Find the diagonal (in rods) of the square whose area is 5

acres.

22. Find the area of a hexagon, composed of six equilateral triangles, each side being 6 inches. Fig. 8.

23. What is the area of the circle circumscribed about the

above hexagon, Fig. 9?

24. What is the area of the square inscribed in a circle whose diameter is 10 feet, Fig. 10?

182+13+67 75+193+23 91+126+32

91+59+165

114+21+49

132+94+77 63+143+24 78+39+183

155-49+24 181+47-33 165-(47-28) 171+32-34

1134. Oral Problems.

1. A has 96 sheep; B has 28 sheep more than A. How many sheep have both?

2. There are 56 pupils in one class, 48 in a second class, and 52 in a third class. How many pupils are there in the three classes?

3. March 29 is what day of the

year 1894?

4. How far is a man from his starting-point, if he travels due east 150 miles, due west 23 miles, due east again 48 miles?

5. A body falls 16 ft. in the first second, three times as far in the second second, five times as far in the third second. How far does it fall in three seconds?

6. The base of a right-angled triangle is 12 ft., the perpendicular is 16 ft. What is the hypotenuse?

7. At $35 per month, what will be the rent of a house for 16 months?

8. A field containing 169 square rods is 13 rods long. How many rods of fence will be needed to enclose it?

9. 25 packages of sugar weigh together 871⁄2 lb. How many pounds are there in each?

10. At 45 miles per hour, how many hours, minutes, and seconds will it take a train to go 230 miles?

11. How many years have elapsed since the invention of gunpowder, 1356?

12. What profit is made on an article bought for $175, less 12%, and sold for $200?

13. How many square rods in a field 71 rods long, 81 rods wide?

14. Assuming a kilo to be 24 lb., how many kilos will be equal to 143 lb. ?