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25. Sold 20900 feet of timber for $339.621, and gained thereby $78.374. What did it cost per C.?

26. Reduce

12 2Y 4/

× of to a decimal.

27. A farmer exchanged 284 bushels of oats worth $.75 per bushel, and 453 pounds of middlings worth $11 per hundred, for 12520 pounds of plaster. What was the plaster worth per ton?

28. A merchant tailor bought 27 pieces of broadcloth, each piece containing 19 yards, at $4.314 a yard; and sold it so as to gain $381.874, after deducting $9.621 for freight. For what was the cloth sold per yard?

29. If 10 cords of wood cost $34.124, what cost 60% cords? 30. If 1 hundred pounds of sugar cost $124, how many pounds can be bought for $934, at the same rate? 31. Paid $108 for grain, of it being barley at $.621 per bushel, and of it wheat at $1.87 per bushel; the rest of the money was paid for oats at $.37 per bushel. How many bushels of grain were bought?

32. What is the value of (313 +

8

6324

+

÷ 4.23 ?

33. A farmer sold to a merchant 3 loads of hay weighing respectively 1826, 1478, and 1921 pounds, at $17.60 per ton, and 281 pounds of pork at $5.25 per C. He received in exchange 31 yards of sheeting @ $.18, 11 yards of cloth @ $4.50, and the balance in money. How much money did he receive?

34. A man expended $140.30 in the purchase of rye at $.95 a bushel, wheat at $1.37 a bushel, and corn at $.73 a bushel, buying the same quantity of each kind; how many bushels in all did he purchase?

DECIMALS.

35. A farmer had 150 acres of land, which he could have sold at one time for $100 an acre, and thereby have gained $3900; but after keeping it obliged to sell it at a loss of $2250. cost him an acre, and for how much an acre did he sell it?

for a time he was

What did the land

36. Bought 2500 bushels of wheat @ $1.40, and 735 bushels of oats @ $.54; I had 1470 bushels of the wheat floured, and sold it at a profit of $435.87, and I sold 528 bushels of the oats at a loss of $30. Afterward I sold the remainder of the wheat at $1.25 per bushel, and of the oats at $.45 per bushel. Did I gain or lose, and how much?

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DENOMINATE NUMBERS

DEFINITIONS.

330. A Denominate Number is a concrete number, and may be either simple or compound; as, 8 quarts, 5 feet 10 inches, etc.

331. A Simple Denominate Number consists of a unit or units of but one denomination; as, 16 cents, 24 hours, 30 barrels, etc.

332. A Compound Denominate Number consists of units of two or more denominations of the same nature; as, 10 pounds 6 ounces, 5 yards 2 feet 8 inches, etc.

333. In integral numbers, and in decimals, the law of increase and decrease is by the uniform scale of 10; but in Compound Numbers, the scale varies.

MEASURES.

334. A Measure is a standard unit established by law or custom, by which quantity, such as extent, dimension, capacity, amount, or value, is measured or estimated.

Thus, the standard unit of Measures of Extension is the yard; of Liquid Measure, the wine gallon; of Dry Measure, the Winchester bushel; of Weight, the Troy pound, etc. Hence the length

of a piece of cloth is ascertained by applying the yard measure ; the capacity of a cask, by the use of the gallon measure; of a bin, by the use of the bushel measure; the weight of a body, by the pound weight, etc.

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MEASURES OF EXTENSION.

336. Extension is that which has one or more of the dimensions length, breadth, and thickness. It may be a line, a surface, or a solid.

337. The Standard Unit of measures of extension, whether linear, surface, or solid, is the yard.

LINEAR MEASURE.

338. Linear or Long Measure is used in measuring lines and distances.

339. A Line has only one dimension-length.

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1. The Inch is generally divided into halves, quarters, eighths, sixteenths, and sometimes into tenths or twelfths.

2. Civil and mechanical engineers, and others, use decimal divisions of the foot and inch.

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