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11. Two brothers gathered hickory nuts. older gathered 25 bu., and the younger 21 bu. many bushels did they gather together?

The

How

12. A lady is 483 yr. old, and her husband is 51 yr. older. Find his age.

13. A boy travelled 39§ mi. on his bicycle and the next day 36 mi. How much farther did he travel

the first day than the second?

14. What fraction subtracted from the sum of and will leave 1 for remainder?

15. A farmer divided a portion of his farm among his three sons, giving to the two oldest each, and to the youngest of it. What part of his farm did he divide. If this was 165 A., how large was his farm? What was each son's share?

16. Two boys contributed and, respectively, toward the expenses of an outing. The third boy, who contributed the remainder, put in 75. What did the outing cost and what did each contribute?

17. A number is larger by 50 than of it. Find the number.

18. A man paid a debt in four payments. At first he paid, then, then 2 of it, and finally $500. Find the original debt and the amount of each pay

ment.

19. My furnace burns 125 T. of coal during the winter, and my neighbor's 8 T. How much more does it cost me for coal than my neighbor, if coal is $6 a ton?

20. A bicyclist travelling at the rate of 8 mi. an hour goes around a quadrilateral section of country of which the sides are 6 mi., 51 mi., 34 mi., and 6 mi. How long is he gone if he is delayed a quarter of an hour on the road?

21. If a certain number is increased by of itself the sum will equal 75. Find the number.

22. At the rate of 8 mi. an hour how far will a boy ride in two trips, one lasting 34 hr., and the other 47 hr., if he stops hr. during each trip?

23. The difference in weight between two parcels is 31 lb., and the lighter parcel weighs 1215 lb. What is the weight of the heavier? Of both?

24. Divide 10 lb. of sugar into two parcels, one of which shall be 11⁄2 lb. heavier than the other.

25. What fraction must be added to the sum of and that their sum may be ?

MULTIPLICATION AND DIVISION OF

FRACTIONS

Lesson 28

1. Find the cost of 10 yd. of cloth at $% a yd. Name the number, the unit, and the quantity.

2. Find the cost of yd. of silk at $8 a yd. Name the number, the unit, and the quantity.

3. In taking of a number is it better to divide by 4 and then multiply by 3, or to multiply first by 3 and then divide by 4? Test in these questions:

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6 bu. potatoes at $ a bu.

5 baskets melons at $27 a basket.

5. doz. 5-lb. jars butter at $1 each.

yd. cloth at $2 a yd.

2 doz. yd. towelling at $a yd.

Find the weight of:

6. 8 yd. carpet at 11⁄2 lb. a yd.; 14 lb.; 1,1 lb.; 1 lb.; 18 lb.

7. 8 double rolls of wall paper at 12 lb. each; 6 double rolls; 12; 7; 9; 10.

8. 3 spoons at oz. each; 5 at oz. each; doz. at 1⁄2 oz. each; doz. at 13 oz. each.

9. Half a dozen teaspoons, each 47 in. long are placed end to end; how long a line do they make? How long if each is 51⁄2 in. long? 5 in.?

10. How many ounces of pure silver in a dozen tablespoons weighing 13 oz. each, 7 fine?

11. Reduce to inches: ft.; 1 ft.; 21 ft.; 34 ft.; ft.; 5 ft.; 15 ft.

12. Reduce to yards: 2 rd.; 4 rd.; 6 rd.; 5 rd.; 9 rd.; 10 rd.; 12 rd.

13. Reduce to feet: 2 rd.; 6 rd.; 3 rd.; 10 rd.; 12 rd.

14. Reduce to quarts: 1 gal.; gal.; 1 gal.; 21 gal.; 35 gal.; 1432 gal.

15. Reduce to square feet: sq. yd.; sq. yd.; sq. yd.; 21 sq. yd.

16. Reduce to ounces avoirdupois: lb.; lb.; 7 lb.; 21 lb.; 51⁄2 lb.

17. What is the area of a table 3 ft. long and 21 ft. wide?

18. Find the areas of the floors of the following

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19. Find the areas of the walls of the following

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20. The base of a triangle is 12 ft. and the altiFind its area. (See p. 35, ex. 2.)

tude 6 ft. 6 in.

21. Reduce 23 and 41 to improper fractions.

1 of 41 = ?

8 × 3 =?

23 × 41 = ?

22. How do you find the product of two numbers

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25. If a man earns $2 a day, how much will he earn in 3 da.?

26. Find the volume of a rectangular slab of granite 41 ft. long, 21 ft. wide, and 13 ft. thick.

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