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63. Required the measurement of a board 18 feet in length, and 16 inches in width.

Ans. 24 feet. 64. Peter drinks a barrel of beer containing 32 gallons, in 24 days, and Charles, when he goes about it, does it in 16 days_now if they should drink together, in what time will they make an end of it? Ans. 9 days 143 hours.

65. Suppose I lend (at interest) a certain sum of money, at the rate of 8 per cent. per annum, simple interest, and at the end of 10 years I receive for principal and interest $1539—I demand the principal sum lent. Ans. $855. 66. Reduce £225 10s. 6d. sterling, to federal money.

Ans. $1002.334. 67. Suppose A, in new-York, owes B, in London, £2000 sterling-required the amount in federal money, and how much can A save, if he buys a bill at 4 per cent. below

par. Ans. $8888.888+ and he can save $355.555. 68. Required the interest on $175.25, for 120 days, at 6

Ans. $3.45,4+ 69. How much is the present worth and discount of $125,

payable in 4 months, at 6 per cent. discount? 30

Ans. $122.549+ present worth ; $2.451 discount. 70. Suppose a cask to measure diagonally from the centre

of the bung-hole 32 inches-required the contents in gallons. Golf

Ans. 89gal. 1pt. + 71. A, B, and C form a joint stock of $4392, by which they gain $234; A's money is in trade 4 months, B's 5 months, and C's 13 months; their shares of the gain are as the numbers 2, 3, and 4, respectively-required the gain and stock of each.

A's gain $52; stock $1560. 4 Ans. B's do.

1872. C's do. 104;

960. 72. Suppose a person to purchase a tier of wood 64 feet 34

long, 4 feet high, and 3 feet 9 inches wide; that is to say, 31498 cords that were cut 3 inches too short-required the loss Los of admeasurement, and the quantity received.

Ans. } cord loss ; 7} cords received. 18888

73. Suppose a cellar dug 20 feet in length and width, and walled with stone 1.5 feet in thickness, and 8 feet in height -required the cubic feet of stone, and the number of perches of 24.75 and 16.5 feet per perch, each.

Ans. 888 cubic feet=35.87+perches, and 53.812+

perches of 16 feet per perch.

88

78;

730

480.0

PROMISCUOUS EXAMPLES.

178

74. It is said that New.England rum in Philadelphia has risen within a few months, from 32 to 38 cents per gallonrequired the gain per cent.

Ans. $18.75. 75. Required the value of a bill of exchange, for $1000, at 6 per cent. above par.

Ans. $1060. 76. What will the annual rent of $100 amount to, at 6 per cent. compound interest, if forborne 4 years?

Ans. $437.4616. 77. What is a perpetual annuity of $240 per annum, worth in ready money, allowing 6 per cent to the purchaser ?

Ans. $4000. 78. Required the number of bricks that are 8 inches in length, and 4 inches in width, to pave a yard #bat is 20 feet long, and 10 feet wide.

Ans. 900. 79. Reduce $756 to sterling or English money.

Ans. £170 25. 80. Required the value of a bill of exchange of $1060, at 6 per cent. below par.

Ans. $996.40. 81. A mule and an ass were carrying burthens in company, amounting to some hundred weight: the ass complained of his, and said to the mule, I need only one hundred weight of your load, to make mine twice as heavy as yours. The mule answered, Yes, but if you gave me a hundred weight of yours, I should be loaded three times as much as you would be-how many hundred weigħt did each

2.6cwt, the mule's load,

2.2cwt. the ass's load. 82. A boy skated against the wind 8 miles in an hour and 20 minutes; returning with an uniform stroke, having the advantage of an equal wind, he skated back the same distance in 32 minutes-required the force of the wind.

Ans. 792 feet per minute. 83. How many trees may be planted on an acre, at 6 feet distance.

Ans. 1210. 84. Jacob, by contract, was to serve Laban for his two daughters 14 years; and when he had accomplished 11 years, 11 months, 11 weeks, 11 days, 11 hours, and 11 minutes ; required how long he had to serve.

Ans. ly. 11m. 3w. 2d. 12h. 49min. 85. If I give 63 gallons of brandy at 7s. 4d., in barter for 56 gallons of ruń, what will the rum cost me per gallon ?

Ans. 8s. 3d.

carry ?

Ans. {

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86. What number added to the 43d part of 4429,

will make the sum 240 ?

Ans. 137. 87. Divide 1500 acres of land, giving B 72 more than A, and C 112 more than B.

4143 acres A's share, Ans. { 4863 B's 5983

C's 88. Three towns, A, B, and C, are so situated that B lies 80 miles south of A, and C 60 miles west of A-what is the distance between B and C?

Ans. 100 miles. 89. Bought 120 apples at 2 for a cent, and 120 more at 3 for a cent; and sold them altogether at for two centswhat did I gain or lose by the bargain? Ans. lost 4 cents.

90. Sixteen gallons of rum at $1 per gallon, are mixed with 4 gallons of water-what is the value of the mixture per gallon?

Ans. $.80. 91. The remainder of a division ‘sum is 649, the quotient 113, the divisor is the sum of both and 24 more-required the dividend.

Ans. 89467. 92. What number is that of which 9 is of it?

Ans. 13.5. 93. A person left 40s. to four poor widows, A, B, C, and D; to A he left }, to B \, to C }, and to D }, desiring the whole might be distributed accordingly-what is the proper share of each?

Ans. A's share 14s. 4 d., B's 10s. 6,8 d., C's 8s. 51d.,

and D's 75. d. 94. What difference is there between the interest of $350 for 8 years at 4 per cent. per annum, and the discount of the same sum at the same rate and for the same time?

Ans. $27.155 95. A market-woman having bought a quantity of apples, at the rate of 250 for a dollar, and sold one half of them at 2 for a cent, and the remaining half at 3 for a cent, finds she has gained 10 cents by the transaction-how many did she buy?

Ans. 600. 96. If 3 men can dig a ditch in 16 days, how long will it take 6 men ?

Ans. 8. 97. If a load of wood is 8 feet long, and 3 feet wide, how high must it be to contain 1 cord ?

Ans. 5} feet, or 5ft. 4in. 98. How many bricks, 8 inches long, 4 inches wide, and

180

PROMISCUOUS EXAMPLES.

24 thick, will build a wall in front of a garden, which is to be 240 feet long, 6 feet high, and 1 foot 6 inches wide ?

Ans. 51840 bricks. 99. How many tons of timber in two sticks, each 30 feet long, 20 inches wide, and 12 inches thick ? Ans. 2 tons.

100. How much will a marble slab cost that is 7 feet 4 inches long, and 1 foot 3 inches wide, at $1 per foot ?

Ans. $9.163 101. What is the difference between 100 square feet, and 100 feet square ?

Ans. 9900 feet. 102. "What number is that, which, being divided by 65, the quotient will be 42?

Ans. 2730. 103. What number is that from which, if you take of itself, the remainder will be 12 ?

Ans. 48. 104. Ilow many words of 5 letters each, may be made from an alphabet of 26 letters, supposing that a number of consonants may make a word ?

Ans. 7,893,600. 105. What is the number of cubic miles in the earth, supposing its diameter 7911 miles, and its circumference 24853?

Ans. 259,233,031,435 miles. 106. What is the length of an inclosure, whose area is 40 acres, and whose breadth is 50 rods? Ans. 128 rods.

107. If the floor of a square room contain 36 square yards, how many seet does it measure on each side?

Ans. 18 feet. 108. What is the true interest of $100 for 175 days, at 6 per cent.

Ans. $2.87337. 109. A farmer took a load of produce to market; he sold 780 lbs. of pork, at 6 cents per lb. ; 250 lbs. of cheese, at 8 cents per lb.; 154 lbs of butter, at 15 cents

per
lb. In

pay he received 60 lbs of sugar, at 10 cents per lb.; 15 gallons of molasses, at 42 cents per gallon ; a half barrel of mackerel, at $3.75; 4 bushels of salt, at $1.25 per bushel; and the balance in money : how much did he receive ? Ans. $68.85.

110. How many cubic feet in a box 4 feet long, 3.5 feet wide, and 2 feet 9 inches deep?

Ans. 38.5 feet. 111 Required the time of day at New Orleans, when it is 12 o'clock at Philadelphia ; the difference of longitude of the two places is 15 degrees.

Ans. 11 o'clock. 112. What is the divisor, when the dividend is 34320, reminder 66, and the quotient 346 ?

Ans. 99.

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