76. Having bought 46 acres of land for $1610, I sold a part for $973, by which I gained $28: how many acres did I sell?

27 acres.

77. The quotient in a certain example is 291, the divisor is 12967, and the remainder 113: what must the dividend be? 3773510.

78. A man sold two houses, one for $7798, the other for $8975. With the proceeds of the sale, he bought two farms, one for $3798, the other $6970: how much money had he left? $6005.

79. A man earns $136 a month, and spends $87 during the same time: how many months will it take him to save $2352? 48 months. 80. What number is that which, if taken from 1306, I will leave 109?

1197.

81. How many barrels of 36 gallons each will contain as much as 81 casks of 96 gallons each? 216 barrels.

82. What number is that from which if 1608 be taken, 3106 will remain?

4714. 83. How many suits of clothing, each containing 6 yards, can be made from 27 pieces of cloth, each 26 yards in length? 117 suits.

84. A man spent $3675 for horses, at $75 each; 5 were stolen, and he sold the rest for $80 each: how much did he receive?

$3520.

85. In a certain example the quotient is 3056, the divisor is 405, and the remainder is 200: what is the dividend? 1237880.

86. The difference of two numbers is 13070, the greater is 15988: what is the less?

2918.

87. The minuend of an example is 9000, the subtrahend 3008: what is the remainder?

5992.

88. The product of an example is 1000000, the multiplicand 15625: what is the multiplier?

64.

89. A farmer raises 69 bushels of wheat worth 132 cents a bushel, 118 bushels of corn worth 67 cents a bushel, 176 bushels of oats worth 43 cents a bushel: what is the value of his crops? 24582 cents.

90. A man starting upon a journey took $500. He traveled 869 miles by stage at 6 cents a mile, 928 by railroad at 4 cents a mile, 1050 by steamboat at 3 cents a mile. He was absent 73 days at an additional expense of $4 a day: how much money had he left? 8724 cents.

91. A collector received $109 from A, 3 times as much from B as from A, from C twice as much as from A and B together: how much did he receive from all. $1308.

92. A trader bought 13 tons of iron at $39 a ton, 23 tons at $37 a ton, and 112 tons at $44 a ton: would he gain or lose, and how much, by selling the whole amount at $41 a ton? Lost $218.

93. A farmer sold his wheat for $890, corn for $325, and other produce for $324. Out of the proceeds he bought 3 yoke of oxen at $105 a yoke, and paid the remainder for 72 acres of land: what did the land cost an acre?

$17.

94. Which is of greater value, 456 barrels of apples selling at $4 a barrel, or 260 yards of velvet selling at $7 a yard? Apples, $4.

95. A man bought 2 farms, one containing 117 acres at $34 an acre, the other 207 acres at $17 an acre. He gave in payment 5 horses worth $216 each, and 17 cattle worth $32 each, and the rest in money: how much money did he pay? $5873.

96. A farmer bought a lot of cows and hogs for $1260the cows at $50 apiece, and the hogs at $17 apiece; there were twice as many hogs as cows: how many were there of each? 15 cows, 30 hogs.

QUESTIONS FOR REVIEW.

What is Division? What is the Dividend? The Divisor? The Quotient? The Remainder? Of what denomination is the Remainder? What is the sign of Division? In what other way is Division expressed?

What two methods of Division? What is Short Division? Long Division? When is Short Division employed? Give the Rule for Short Division. The proof. Give the Rule for Long Division. The proof. How do you divide by 10, 100, 1000, etc.? How, when there are ciphers at the right of the divisor?

50. With reference to their unit values, numbers are divided into two classes, Simple and Compound.

51. A Simple Number is one that denotes things of the same unit value. It may be abstract or concrete.

52. A Compound Number is a concrete number made up of different denominations.

NOTES.-1. All exercises thus far have been in simple numbers. 2. The simplest of Compound Numbers are United States Money and the Metric System, because in them we pass from one denomination to another, according to the uniform scale of ten.

53. United States Money is the legal money of our country.

The Denominations are mills, cents, dimes, and dollars. Ten units of each denomination make one of the next higher; hence, the

TABLE.

54. A Coin is a piece of metal, stamped by authority

of government, to be used as money.

The coins of the United States are made of gold, silver, nickel, and bronze; and are as follows:

Gold. The double-eagle, eagle, half-eagle, three-dollar piece, quarter-eagle, and dollar.

Silver. The dollar, half-dollar, quarter-dollar, twentycent piece, and dime.

Nickel. The three-cent, and five-cent pieces.
Bronze.-The cent.

NOTE.-1. The trade-dollar (420 grains silver) was minted for trade with China and Japan. Old coins are still in circulation, such as the silver half-dime, and the copper coins.

2. Paper money issued by the Government is legal tender instead of coin. National banks also issue notes which are much used.

NOTATION AND NUMERATION.

55. Since ten units of one denomination make one unit of the next higher, United States Money is written like simple numbers.

Mills occupy the first place on the right; cents, the second place; dimes, or tens of cents, the third place; dollars, the fourth; eagles, or tens of dollars, the fifth, etc.; illustrated in the margin, and read thus: 12 dollars, 36 cents, and 7 mills.

OPERATION.

Eagles.

Dollars.

Dimes.

Cents.

Mills.

12.367

Dollars are separated from cents by a period. The cents and dimes are read together as cents and tens of cents, and occupy two places at the right of the period. Mills occupy one place at the right of cents. Hence, the

Rule for Numeration of U. S. Money. -Read the number at the left of the period as dollars; the first two figures at the right, as cents; and the third, if any, as mills.

NOTE.-In business calculations, the mills are sometimes used; but the result is always given to the nearest cent, because the cent is the smallest coin.