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17. A quart of oysters contains but 0.106 lb. of protein. If a man gets the protein needed entirely from oysters, how many quarts will he need daily?

18. Find how many times as expensive as beef at 20 per pound are oysters at 50% per quart. Carry the result to the third decimal place.

NUTRIENTS IN 1 POUND OF SOME COMMON FOODS

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19. If a man needs 1.12 lb. of carbohydrates daily, how many pounds of wheat bread would he need if he gets it wholly from bread? If he gets it wholly from beans?

20. Find how much of each of the articles in the table is required to yield as much protein as a quart (2 lb.) of milk.

21. When beef is selling at 22¢ per pound, find the cost of a pound of nutrients furnished by beef.

22. When beans are 51 per pound, find the cost of a pound of nutrients furnished by beans.

23. A ton of field-cured corn fodder contains 127.6 lb. of nutrient, while a ton of clover hay contains 886.2 lb. When clover hay is worth $18 per ton, how much is corn fodder worth?

II. DENOMINATE NUMBERS

2. DENOMINATE NUMBERS

Any number of the standard units of measure, such as 4 feet, 20 pounds, 8 gallons, is called a denominate number. A denominate number expressed in terms of two or more units of measure is called a compound denominate number.

3. LINEAR MEASURE

The measures used in measuring length or distance are called linear measures.

1. For convenience, in measuring short and long distances, small and large units of length measure are employed. Name all of the units of length in common use.

2. These units bear definite relations to each other, expressed by the table of linear measure. If you do not know it already, learn thoroughly the following:

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6. Find, by measuring, the length and the width of the

schoolroom, in feet. In yards.

7. Is the room more or less than 3 rd. long?

8. Estimate the length of some object. Then measure it and see how nearly accurate your judgment is.

9. Estimate the length of a rod on the floor, and then measure the distance marked.

10. Estimate the distance of 10 rods out of doors, and then measure it.

11. What building is about a mile from your school?

12. How far do you live from school?

NOTE. By measuring off a stout cord a rod long, or 50 ft. long, or any other desired length, a convenient means is secured for making long measurements out of doors. An expensive tape line is not necessary.

Pupils should make many estimates and measurements of short and long distances, as suggested in the preceding problems, to develop accuracy in judgment of distances.

Reduction in Linear Measure

Changing any number of units of one denomination to units of another denomination is called reduction. Changing a given unit to a smaller unit is called reduction to a lower denomination, as changing from feet to inches. Changing a given unit to a larger unit is called reduction to a higher denomination, as from feet to yards.

Exercises in Reduction to Lower Denominations

Reduce:

1. 6 ft. to inches; 8 ft. to inches; 10 ft. to inches. 2. 3 yd. to inches; 4 yd. to inches; 51 yd. to inches. 3. 2 rd. to yards; to feet.

4. 10 mi. to rods; to yards.

5. 8 mi. to feet.

6. State the method of reducing any number of units of one denomination to units of a smaller denomination.

7. Sweet peas are planted in a row 4 in. apart. How

many seeds can be planted in a row 5 yd. 2 ft. 8 in. long?

SOLUTION:

Reduce:

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Hence, 54 seeds, for two seeds mark the first

space, and there is one seed for each new space.

8. 2 ft. 5. in. to inches.

9. 2 yd. 2 ft. to feet.

10. 1 mi. 248 ft. to feet.

11. 2 mi. 18 rd. to rods.

Exercises in Reduction to Higher Denominations

Reduce:

1. 48 in. to feet; 6 in. to feet.

2. 27 ft. to yards; 45 ft. to yards.

3. 144 in. to yards; 288 in. to yards.

4. 33 ft. to rods; 132 ft. to rods.

3. 10,560 ft. to miles; 23,760 ft. to miles.

6. State the method of reducing a number of any denomination to a number of a higher denomination.

7. A flower bed is 195 in. long. How many yards, feet, and inches is this?

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10. 1000 rd. to miles and rods.

11. Express 21 in. as feet, decimally to hundredths.

12. Express 20 ft. as yards, decimally to hundredths. 13. Express 12,000 ft. as miles, decimally to hundredths.

Applications of Linear Measure

1. A class of pupils wished to divide 20 yd. of ribbon into 48 equal parts for class colors. How many inches long must each piece be cut?

SOLUTION:

20 yd. 20 × 36 in. = 720 in.

=

of 720 in. = 15 in.

Hence, each piece was 15 in. long.

2. How many badges, each containing 10 in., can be made from 15 yd. of ribbon?

3. How many books can be bound with 45 yd. of tape, if each book requires 9 in. of tape?

4. How many bolts, each 5 in. long, can be cut from a bar of iron 10 ft. long?

5. 60 ft. of a certain kind of wire weighs 1 lb. What is the weight of a mile of it?

6. Find the cost of constructing a ditch a half mile long at $2.50 a rod.

7. How many feet of wire does a man need to build a fence 6 wires high around a lot 20 yd. wide and 28 yd. long?

8. A piece of land has a frontage of 80 rd. on a street. Into how many city lots with a frontage of 60 ft. each can it be divided?

9. A tight board fence 120 ft. long is to be made of 9-inch boards, nailed upright. How many boards will it require?

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