feed his horses. (a) What per cent of the mixture was bran? (b) What per cent was corn meal?

16. The population of a city to-day is 130,000, which is 125% of what it was 10 years ago. What can you find? Find it.

17. Divide: (a) 8.8 by .0008; (b) 20.005 by .005.

18. Divide the sum of two thousand and two thousandths by two hundredths.

19. How many times will a bicycle wheel rotate in going a mile if the wheel is 7.2 ft. in circumference?

20. The product of two numbers is 12.46, and one of the numbers is 24.92. Find the other number.

Reduce to common fractions in lowest terms:

PROBLEMS IN PERCENTAGE

1. A hardware merchant bought a bill of goods for $560 and marked them to be sold at a price which was 140% of the cost. (a) At what price did he mark the goods? (b) He sold the goods for 90% of the marked price. What did he receive for them?

2. A jobber bought 2000 wheelbarrows at $2.25 apiece, marked them at 115% of their cost, and sold them for 95% of the marked price. What did he receive for them?

3. During a storm 1000 bbl. of sugar, or 81% of the cargo of a ship, were thrown overboard. How many barrels formed the cargo?

4. Make and solve a problem about $420 and 35%. 5. Mr. Fish paid city taxes to the amount of $280, which was 15% of the value of his property. How much was his property worth?

6. A load of boards weighing 3500 lb. was put into a kiln and dried. When taken out, the boards weighed 11⁄2 tons. What per cent of the weight of the boards at first was water?

7. (a) Write a problem in percentage in which factors are given to find a product. (b) Write another in which one of the factors is to be found.

8. If a pint of cream is used in making two gallons of ice cream, what per cent of the ice cream consists of other things than cream?

9. (a) If a pine plank weighs 45 lb. and an oak plank of the same size weighs 72 lb., the weight of the pine is what per cent of the weight of the oak? (b) The weight of the oak is what per cent of the weight of the pine?

10. A grocer bought 100 lb. of soda for $3.50 and sold it for 1429% of its cost. What did he receive a pound for it?

ARTICLES SOLD BY THE THOUSAND, HUNDRED, OR HUNDRED WEIGHT

Written

1. What is the cost of 8975 bricks at $7 per M? (M stands for 1000.)

Since 1 M costs $7, 8.975 M cost 8.975 X $7, or $

Ans.

2. What must be paid for 980 pencils at $2.30 per C? (C stands for 100.)

Since 1 C costs $2.30, 9.80 C will cost 9.80 × $2.30, or $

Ans.

3. Find the cost of 1550 lb. of new buckwheat flour at

Since 1 cwt. costs $3.50, 15.50 cwt. cost 15.50 × $3.50, or $Ans.

NOTE. In final results, a fraction of a cent, equal to or greater than cent, is counted a whole cent. A fraction which is less than cent is dropped.

Find the cost of each of the following items and the total cost of all of them:

4. 27,325 bricks at $8.15 per M.

5. 4900 cu. ft. of gas at $1.20 per M.

6. 583 lb. sugar at $6.75 per C.

7. 4900 tomato plants at $4.50 per M.

8. 1000 laths at 40¢ per C.

9. 3125 cu. ft. of city water at $.14 per C.

10. T. fiber paper at $4.50 per cwt.

11. 5600 paper bags at $4.90 per M.

12. 16 boxes of envelopes, 250 in a box, at $1.50 per M.

13. 850 Japanese napkins at $.28 per C.

LUMBER MEASURE

A piece of wood 1 ft. long, 1 ft. wide, and 1 in. thick is a board foot (bd. ft.).

TO THE TEACHER. As material for this lesson, a real board foot- a piece of board exactly 1 ft. long, 1 ft. wide, and 1 in. thick should be provided. Refer to it in obtaining answers to the oral questions below and whenever pupils seem to answer wide of the mark in this subject. This is very important.

Oral

1. How many inches long is a board foot? How many inches wide? How many cubic inches does a board foot contain?

2. How many board feet piled one upon another would make a cubic foot? Show with your hands how wide, long, and high this pile would be.

3. A board 1 in. thick, 1 ft. wide, and 6 ft. long contains how many board feet? Draw it full size on the blackboard, and mark off the board feet.

4. If the board in question 3 were twice as thick, how many board feet would it contain? How many inches thick would it be?

5. If it were five times as thick, how many board feet would it contain?

6. How many board feet are there in a piece of board 1 ft. wide, 16 ft. long, and 1 in. thick?

7. If this piece of lumber were 2 in. thick, how many board feet would it contain? 3 in.? 4 in.? 5 in.? 6 in.?

8. A piece of inch board 3 ft. long must be how wide to contain 1 bd. ft.?

9. A piece of board 1 in. thick, 2 in. wide, and 12 ft. long contains how many board feet?

To find the number of board feet in any piece of lumber, multiply together its three dimensions, two of them expressed in feet and the other in inches.

Lumber less than 1" thick is counted as 1" thick in measuring. Oral

1. How much lumber is used

in making this box with cover? (Take outside measurements.)

2. About how many feet of lumber (board feet) are there in the top of your desk? One end of the bookcase? The cupboard door? All the shelves in the bookcase? 3. Estimate the amount of lumber in a cubical box, including the cover, made of 1-inch lumber, the length of the box being three feet.

Written

4. The door in this hayloft is 4 X 4'. Two battens across the inside are 4' x 6". How many feet of lumber are used in the door, the lumber being 1" thick?

1. What is the cost of 20 pieces of lumber 2" X 4" x 14'

2. 18 pieces 1" x 6" x 16' at $45 per M. 3. 48 pieces 2" × 4′′ × 18′ at $36 per M. 4. 88 pieces 3" x 4" × 14′ at $40 per M.