24. A farmer's wife sold 10 lb. of butter at 24¢ a lb. and with the proceeds bought sugar at 5 a lb. How many pounds did she buy? What is the quantity here?

25. A man travels 12 hr. at the rate of 4 mi. an hr. and returns to the starting-point at the rate of 6 mi. an hr. How long does it take him to return?

Lesson 2

1. Make a mental picture of a line 18 in. long divided into 3 equal parts. How long is the unit of measure that divides it into 3 parts?

2. What unit would divide it into 6 parts? 2 parts? 9 parts?

3. Find the units that divide each of these quantities into 4 parts: 20 in.; 1 ft. 4 in.; $24; 1 bu.; 1 bu. 8 qt.; 2 doz. oranges.

4. In question 3 how did you find the value of the unit in each case?

5. How would you find the size of the unit dividing a quantity into 4 parts? 5 parts? 6 parts? Into any number of parts?

6. In questions 7-13 name the quantity and the number in each case. How will you find the value

of each unit?

7. If 3 lb. of coffee cost 96, what is the price of 1 lb.?

8. A freight train runs 72 mi. in 4 hr. is the average speed per hr. ?

What

9. If 2 gal. of milk is worth 48, what is 1 qt. worth?

10. If the cost of fencing one side of a field 8 rd. long is $44, what is the cost per rd.?

11. Nine yards of cloth cost $2.16; per yd.

Per yd.?

find the price

12. I sold 10 cd. of wood at $6 a cord, and with the proceeds bought 12 bbl. of flour.

cost per bbl.?

What was the

13. A rectangle 8 in.

long and 9 in. wide is cut

into 6 equal rectangles.

What is the area of each?

14. In the following examples find the units of

15. State what each number in example 14 is the ratio of. In example 14 what is 1, 2, etc., the ratio of ?

16. How long is the line that is measured 5 times by the unit 6 in.?

17. I fill a pail by emptying into it a 2-qt. measure full of water 6 times. How much water does the pail hold?

18. In examples 16 and 17 how did you find the whole quantity? When you are given the number and unit how do you find the quantity?

19. In examples 20-23 name the number and the unit in each case.

20. Find the cost of 7 lb. of oatmeal at 4¢ a lb.

21. A farmer sold 4 horses at $80 apiece. What did he receive for them?

22. Two men separate, one walking west at the rate of 3 mi. an hour, the other east at 5 mi. an hr. How far apart will they be in 9 hr. ?

23. Two boys ride along the same road in the same direction. The first rides 9 mi. an hr. and the second 7 mi. How far apart will they be in 3 hr. after the faster passes the slower?

24. In the following examples find the quantities measured by the numbers and the units:

ADDITION

Lesson 3

1. A line 8 in. long is divided into two parts. What can the lengths of these parts be?

2. A line is made up of parts 4 in., 5 in., and 6 in. long. What is the length of the line?.

3. Eight is how much less than 10? 5 is how much greater than 2? Why is 8+ 5 = 10 + 3? 4. 8610+??

7910+?=?

The STATEMENT OF BALANCE for example 7 is:

The sum spent

5+9%.

Give the statement of balance for each of the following examples of this lesson as you solve them.

7. Miriam paid 5 for street car fare and spent 9 for a yard of ribbon. What did she spend

altogether?

8. A man spent $8 for a coat and $4 for a vest. What did both cost him?

9. Ethel spent 6 for apples and 9¢ for oranges. How much did she spend in all ?

10. A lady paid $7 for a lounge and $5 for a chair. What did both cost?

11. A grocer buys pineapples at 94 apiece and sells them at a gain of 4¢ each Find the selling price.

12. Add 4 to 6, 9, 3, 7, 8, 5, 6, 4, 7, 6, 9. 13. Add 7 to 8, 6, 3, 5, 4, 8, 9, 7, 2, 5, 9.

14. Add 5 to 2, 8, 4, 9, 8, 7, 5, 9, 6, 8, 7. 15. Add 9 to 7, 4, 9, 6, 3, 9, 8, 5, 2, 4, 1. 16. Add 3 to 5, 7, 9, 6, 4, 5, 7, 3, 6, 9, 8. 17. Add 8 to 5, 9, 7, 5, 6, 2, 8, 6, 9, 7, 4. 18. Add 6 to 9, 5, 8, 7, 4, 8, 5, 7, 4, 9, 6.

STATEMENT OF BALANCE

The weight = 4 times 2 lb. + 3 lb.

19. What is the weight of 4 2-lb. cans of corn and 3 lb. of cheese?