68. A speculator bought a tract of land containing a square mile at $24 an acre. He sold it to Mr. Davis at a profit of 162 %. Mr. Davis divided it into farms of 160 acres each and sold each farm for $5,000. How much did Mr. Davis make? How much did the speculator make?

69. A wholesale dealer in jewelry sold a watch that cost him $80 to a retail dealer at a profit of 40%. The retail dealer sold it to a customer for 30 % more than it had cost him. Which man made the more. How much more?

70. Mr. Andrews bought 4,500 lb. of Timothy hay at $.03 per pound, and sold it for $20 per ton. gain per cent?

What was his

71. Helen's age is 6 yr. 4 mo. 20 da. which is 12% of her How old is her father?

father's age. 72. Mr. Durand and Mr. Lawson each bought a tract of land, paying the same price. Mr. Durand sold his tract for $7,200 and made 25 %. Mr. Lawson sold his tract for $6,336. How much did he make! What per cent did he make?

73. Find the difference between 121% of 4,864 feet and % of 48,640 feet.

74. Find the difference between 371% of 9,728 minutes and % of 97,280 minutes.

75. Mr. Sartolia sold 25 bu. 3 pk. 6 qt. of peanuts. This was 61% of all that he had. How many bushels did he have

at first?

76. If John had 25% more money than he has, he would have $400. How much has he?

77. Jan. 1, 1908, Mr. Riley borrowed $360 of Mr. Hawkins, agreeing to pay him 5% for the use of the money. How much did Mr. Riley owe Mr. Hawkins Aug. 16, 1909?

78. What is the interest on $480 at 6% from February 12, 1907, to April 18, 1908?

SUPPLEMENT

INTERNATIONAL METRIC SYSTEM

SYNOPSIS OF THE SYSTEM

1. The fundamental unit of the Metric System is the meter the unit of length. From this the units of capacity (liter) and of weight (gram) were derived. All other units are the decimal subdivisions or multiples of these.

These three units are simply related; e.g. for all practical purposes one cubic decimeter equals one liter and one liter of water weighs one kilogram.

66

The metric tables are formed by combining the words "" 66 meter, "gram" and "liter" with the six numerical prefixes, as in the following tables.

The tables and descriptions in the following are taken from the pamphlet on the Metric System issued by the Department of Commerce and Labor of the United States government.

Where miles are used in England and the United States for measuring distances, the kilometer (1,000 meters) is used in metric countries. The kilometer is about 200 rods.

There are about 1,600 meters in a statute mile, 20 meters in a chain, and 5 meters in a rod. One meter = 39.37 inches exactly.

3. The meter is used for dry goods, merchandise, engineering construction, building, and other purposes where the yard and foot are used. The meter is about a tenth. longer than the yard.

The centimeter and millimeter are used instead of the inch and its fractions in machine construction and similar work. The centimeter, as its name shows, is the hundredth part of a meter. It is used in cabinet work, in expressing sizes of paper and books, and in many cases where the inch is used. The centimeter is about two-fifths of an inch and the millimeter about one twenty-fifth of an inch. The millimeter is divided for finer work into tenths, hundredths, and thousandths.

4. If a number of distances in millimeters, meters, and kilometers are to be added, reduction is unnecessary. They are added as dollars, dimes, and cents are now added. For example, "1,050.25 meters" is not read "1 kilometer, 5 dekameters, 2 decimeters, and 5 centimeters," but "one thousand and fifty meters, twenty-five centimeters," just as "$1,050.25" is read "one thousand and fifty dollars, twentyfive cents."

1. What is the ratio of 1 Km. to 1 Hm.? To 1 Dm.? To 1 M.? How many Dm. in 6 Km.? In 8 Km.? In 4.5 Km.? In 9.25 Km.? In 12.75 Km.?

2. How many M. in 1

In 71 Km.? In 44 Km.?

Km.? In 5 Km.? In 7 Km.?
In 7 Km.?

3. How many M. in 2 Dm. 5 M.?

In 9 Dm. 6 M.?

In 8 Dm. 4 M. ? In 1 Hm. 1 Dm. 2 M.? 3 Dm. 6 M.? In 6 Km. 5 Hm. 4 Dm. 3 Km. 8 Hm. 5 M.?

In 1 Km.?

In 1 mm.?

4. How many inches in 1 Dm.? In 1 Hm. ? 5. How many inches in 1 dm.? In 1 cm.? 6. Change 3,645 M. to Dm.; to dm.; to Hm.; to cm.; to Km.; to mm.

7. Change 8,716 dm. to m.; to Dm.; to cm.; to Hm.; to Km.

WRITTEN EXERCISES

6. Solve:

1. Express in one number:

(1) 15 Km. 9 Hm. 8 Dm. 5 m.

(2) 4 dm. 3 cm. 2 mm.

(3) 84 Km. 5 Hm. 6 Dm.

2. Express in units of each of the other denominations: 46,875.435 m.; 125,248.06 m.; 33,205.504 m.

3. Express the answers to the following in denominations of the Metric System:

(1) 486.5 m. × 25; (2) 745.6 m. x 81;

by 2.5; by .25.

by 83; by 65.

(3) 375.5 m.÷25; by 2.5; by .25.

4. A kilometer is about of a mile.

Find the approxi

mate number of miles in 15.5 Km.; in 36.05 Km.; in 88.75

Km.

5. Find the approximate number of kilometers in 15.9375 miles; in 31.875 miles; in 26.5625 miles.

6. Change the following to its approximate equal in our common system:

(1) 12 Km. 8 Hm. 6 Dm. 4 m.

SOLUTION: 12 Km. 8 Hm. 6 Dm. 4 m. = 12.864 Km.

12.864 × .625 = 7.7184 miles.

.7184 × 320 246.9888 rods.

=

.3142 x 12 = 3.7704 inches.

8 miles, 246 rods, 14 feet, 3.7704 inches.

(2) 23 Km. 4 Hm. 3 Dm. 5 m.

(3) 34 Km. 7 Hm. 3 Dm.

7. The length of a cable is 2 Km. 5 Hm. What is its approximate length in miles and rods?