961. Divide. 2 decimal places (Arts. 385, 616):

50. 76,538,061 5,736,804

47. 46,893,647 ÷ 3,986,048

963. The following table contains the values of the goods exported in 1891 by the United States to the various countries of the world.

Find the total value of the goods exported, and the per cent of this value for each section. Carry out to two places of decimals.

REVIEW.

964. Oral Problems.

1.

of a number is 48. What is the number?

2. A base ball club won 17 games, and lost 13 games. What per cent of its games did it win?

3. What per cent of 4 is 64?

4. 23 is what per cent of 3?

5. How many acres in a rectangular farm 1 mile long, mile wide?

6. What per cent of the "list" price is paid by a buyer who receives a discount of 20 and 10 per cent?

7. A tank is filled by two pipes, one of which can fill it in 6 hours, and the other in 8. How long will it take both together to fill the tank?

8. Find the interest on $80, for 72 days, at 6%.

9. A man sold a wagon for $420, which was 16% less than it cost. How much did he lose?

10. A kilo is 2.2046 lb. How many pounds in 1,000 kilos?

965. Slate Problems.

In the first four examples, carry out to two places of decimals, as: 135.67%, 25.83%, 6.03%, 0.52%, 0.09%.

1. The population of Montana was 39,159 in 1880, 132,159 in 1890. Find the per cent of increase.

2. The population of South Dakota in 1890 was 328,808, a gain of 230,540 over the population in 1880. What was the gain per cent?

3. The enrollment in the South Dakota schools was 9,972 in 1880, 66,150 in 1890. Find the gain per cent.

4. What was the gain per cent in the population of a state that had 416,396 inhabitants in 1880, and 416,552 in 1890?

5. A man marks an article $1.50, and sells it at a discount of 25% from the marked price. If the article cost him 90%, what is his gain per cent?

6. Goods costing $8 are sold at an advance of 20 per cent. The marked price is $12. What per cent reduction is made on the marked price?

7. A rug costs $20. It is sold at a profit of 20%. The selling price is 20% below the marked price. How much is What is the marked price?

received for the rug?

8. What price must cloth, which costs $2 per yard, be marked so that a profit of 20% will be made when the cloth is sold at 20% less than the marked price?

2. Divide each of the following fractions by 6:

3. Reduce of of 5 of 24 to a simple fraction.

4. 385-2111.

5. What fraction of £1 18s. 9d. is 5s. 6d.?

6. Multiply 24 by ‡ of 4.

7. What is the greatest common divisor of 657 and 1,168? The least common multiple of 12, 16, 20, 30?

8. What must be taken from 8,5% to leave 3?

9. Reduce 3 and 48% to their lowest terms.

10. Which is the greatest and which is the least, of †, 1⁄2 of §, and 2 of 2?

11. What must be added to 3 to make 5?

12. Add of a week, of an hour,

of a minute.

13. How much is 9 times each of the following fractions?

16. What part of a ten-acre field is 4 A. 100 sq. rods?

17. What is the least number that will contain each of the numbers 6, 15, 18, and 20?

18. What must be multiplied by 4 to produce 161?

19. What is the value of +?

41

20. What quantity must be divided by 44 to produce 85? 21. Find the value of 24÷

412-8

22. How much is

21

of 3 da. 15 hr. 32 min.?

23. Reduce mile to rods.

24. Add 3, 4, 51. Subtract 45 from the sum.

25. Multiply of 5 by 7. Divide the result by 1.

MEASUREMENTS.

970. Slate Problems.

1. A tank 18 ft. long, 15 ft. wide, requires 63 sq. yd. of lead to line its sides and bottom. How many feet deep is it? (Make diagram.)

2. A farmer has a 3-acre field in the form of a right-angled triangle. If one perpendicular side measures 242 yards, what is the length of the other?

3. One parallel side of a field in the shape of a trapezoid measures 150 yd., the other measures 200 yd. How many square yards in the field, the perpendicular distance between the sides being 50 yards? (Make diagram.)

4. The shorter parallel side of a trapezoid is x yards, the other is 100 yd., the perpendicular is 60 yd. Find the area in square yards.

How long is the shorter parallel side when the area is 5,400 sq. yd.?

5. One parallel side of a trapezoid is 80 yd., the other is 120 yd., the perpendicular is x yd. Find the area in square yards.

How long is the perpendicular when the area is 4,000 sq. yd.? 6. One parallel side of a trapezoid is x yd., the other is x+40 yd., the perpendicular is 60 yd. Find the area. Find the length of the parallel sides when the area is 6,000 sq. yd.

7. The sum of the parallel sides of a trapezoid is 200 yards, the perpendicular is 100 yards. How many square yards in the area?

8. How many flagstones 5 ft. long, 3 ft. wide, will be needed to lay a sidewalk 1 mile long, 6 ft. wide?

9. What would it cost, at 10 a square yard, to paint the walls of a room 16 ft. 6 in. long, 14 ft. 9 in. wide, 13 ft. 4 in. high?

10. A room 20 ft. long and 17 ft. 6 in. wide will require how many yards of carpet 2 ft. 6 in. wide to cover it, making no allowance for waste?

11. Find the weight of a plank 15 ft. 9 in. long, 10 in. wide, and 2 in. thick, at 414 lb. per cu. ft.

12. Find the entire surface of a block of marble 3 ft. long, 2 ft. wide, and 14 ft. thick. (Draw "development.") 21