5. A grocer sells a barrel of vinegar at 45 cents per gallon. How much does he receive for the vinegar?

6. If you need 6 yards of trimming for a dress and have bought 54 inches, how much more will you need to purchase?

7. Gerald picked a 21-gallon bucket full of wild blackberries and sold them at 15 cents per quart. How much did he receive for them?

8. If I drink a pint of milk every day, how many gallons shall I drink in a year?

9. Last spring a grocer sold 128 quarts of onion sets. How many bushels did he sell?

10. A farmer measured a field and found that it contained 6400 square rods. How many acres were there in the field?

11. How many crates of berries, 16 quarts to a crate, are used by a bakery in making 64 pies, allowing 1 pint of berries for each pie?

12. A farmer needs 6 bushels of seed corn to plant 40 acres of corn. How many quarts of seed corn are needed per acre?

13. A truck gardener plants 5 pounds of onion seed per How many ounces of onion seed shall I need to plant a plot 4 rods long and 2 rods wide?

acre.

14. How much profit does a grocer make on a quart of onion sets if he buys them at $2.40 a bushel and sells them at 12 cents a quart?

In working with denominate numbers, we find a change from abstract numbers which do not represent measures. Instead of

there being 10 inches in a foot, there are 12. Instead of 10 feet making a yard, 3 feet make a yard. That is, the number of units of a lower denomination that is required to make a unit of a higher denomination changes with the denomination that we are using.

Exercise 11. Addition of Denominate Numbers

1. A rectangular room is 13 feet 6 inches long and 10 feet 8 inches wide. Find the distance around the room.

There are two sides, each 13 feet 6 inches, and two ends, each 10 feet 8 inches. Adding the number of inches 28. 28 inches 2 feet 4 inches. Place the 4 under the inches column and add the 2 feet to the numbers in the feet column, making 48 feet. The distance around the room is 48 feet 4 inches.

Add the following:

2. 4 feet 3 inches; 5 feet 2 inches; 3 feet 9 inches and 7 feet 8 inches.

8. 2 pounds 5 ounces; 3 pounds 3 ounces; 2 pounds 11 ounces and 4 pounds 1 ounce.

4. 3 bushels 2 pecks; 2 bushels 3 pecks; 3 bushels 1 peck and 5 bushels 1 peck.

5. 1 square foot 42 square inches; 2 square feet 88 square inches and 4 square feet 112 square inches.

6. 3 quarts 1 pint; 2 quarts 1 pint; 6 quarts 1 pint and 5 quarts 1 pint.

7. 3 rods 3 yards; 4 rods 3 yards, 3 rods 2 yards and 5 rods 14 yards.

8. A rectangular picture frame is 1 foot 10 inches long and 1 foot 3 inches wide. How much picture molding did it take to make this frame, the corners being lapped?

9. A grocer sold one customer 2 bushels 3 pecks of seed potatoes; to another 1 bushel 2 pecks and to a third 3 pecks. How many seed potatoes did he sell to the three cutomers?

10. The three sides of a triangular flower bed measure 7 feet 8 inches; 6 feet 9 inches and 5 feet 11 inches. What is the distance around the flower bed?

Exercise 12.

Subtraction of Denominate Numbers

1. From a bolt of cloth containing 18 yards 8 inches a clerk cut a piece 7 yards 18 inches. How much was left?

We can not subtract 18 inches from 8 inches, so we must change one of the 18 yards to inches, making 36 inches. 36 inches +8 inches=44 inches. 44 inches18 inches 26 inches. 17 yards-7 yards=10 yards. 10 yards 26 inches may be expressed as 10 yards 2 feet 2 inches.

Subtract the following:

2. 10 bushels 3 pecks-8 bushels 2 pecks.

3. 5 gallons 2 quarts-4 gallons 3 quarts.

4. 11 feet 6 inches-5 feet 4 inches.

5. 39 tons 500 pounds-15 tons 1750 pounds.

6. 4 rods 12 feet-2 rods 15 feet.

7. 8 pounds 8 ounces-6 pounds 4 ounces.

8. 10 square feet 124 square inches-2 square feet 24 square inches.

9. 16 acres 80 square rods-10 acres 120 square rods. 10. 15 bushels 5 quarts-10 bushels 17 quarts.

11. A room is 15 feet 8 inches long and 11 feet 10 inches wide. How much does its length exceed its width?

12. The world's record for the running broad jump is 24 feet 112 inches and for the standing broad jump 11 feet 6 inches. How much greater was the leap in the running broad jump than in the standing broad jump?

13. A grocer bought a load of potatoes which measured 32 bushels 2 pecks. He sold 42 pecks to customers during the first day. How many potatoes did he have left out of the load?

Exercise 13. Multiplication of Denominate Numbers

1. A gardener wishes to put a board border around a triangular flower plot, each side being 4 feet 7 inches in length. How many feet long must he buy a board to go around the plot, not allowing for waste in sawing?

4 feet 7 inches

3

13 feet 9 inches

3X7 inches-21 inches.

21 inches-1 foot 9 inches. 3X4 feet 12 feet. 12 feet +1 foot=13 feet. He would need a board 13 feet 9 inches long

11. A square room measures 11 feet 6 inches on each side. How much picture molding would it take to go around the room, counting out space for two windows each 4 ft. wide?

12. A cubic foot of water weighs 62 pounds 8 ounces. What is the weight of the water in a tank 4 feet X3 feet X2 feet?

13. The length of each side of a rug in the shape of a hexagon (6-sided figure) is 1 foot 7 inches. How much binding tape would it take to go around the edge of this rug?

14. In running a touring car a man used on an average of 8 gallons 3 quarts of gasoline per day. How much did he use in a week?

15. A wholesale firm packs 24 boxes of a certain brand of rolled oats into a shipping crate. If each box contains 1 pound 12 ounces of rolled oats, how many pounds of oats are used for one crate?

Exercise 14. Division of Denominate Numbers

1. Two girls bought a remnant of gingham 3 yards 8 inches long. How long was each piece if they divided it equally?

1 yard 22 inches 2)3 yards 8 inches

3 yards÷2=1 yard with a remainder of 1 yard. 1 yard 36 inches. 36 inches +8 inches=44 inches. 44 inches÷2-22 inches. Each piece was 1 yard 22 inches or 1 yard 1 foot 10 inches long.

Divide:

2. 17 yards 2 feet by 2.

3. 4 pounds 8 ounces by 3.

4. 25 yards 2 feet 9 inches by 3.

5. 5 hours 30 minutes by 2.

6. 1 pound 8 ounces by 4.

7. 12 rods 4 yards by 5.

8. 20 pounds 6 ounces by 6.

9. 2 yards 2 feet by 4.

10. 5 cubic feet 172 cubic inches by 4.

11. 4 yards 2 feet 8 inches by 2.

12. 5 hours 20 minutes by 8.

13. 10 feet 3 inches by 3.