59. In 86400 grains, how many scruples, drams, and ounces ? 4. 4320 scruples, 1440 drams, 180 ounces.

90. In 256 miles, 30 rods, how many rods? A. 81950.

91. In 81950 rods, how many miles? A. 256 m. 30 rods. 92. In 15 lea. 1 m. 6 fur. 28 rods, 4 yds. how many barley corns? A. 8903304.

93. In 8903304 barley corns, how many leagues? A. 15 lea 1 m. 6 fur. 28 rods, 4 yds.

94. In 360 ells English, 4 qrs. 2 n. how many nails? A. 1804 qrs. 7218 na.

95. In 7218 na. how many ells English? A. 360 E. E. 4 qrø.

na.

1

96. In 3000 E. Flemish, how many nails? A. 36000.

97. In 36000 nails, how many E. Flemish? A. 3000. 98. In 500 acres, how many roods? A. 2000.

99. In 2000 roods, how many acres? A. 500.

100. In 15 tons of hewn timber, how many solid inches? 4. 1296000.

101. In 1296000 solid inches of hewn timber, how many tons ? A 15.

102. In 20 cords of wood, how many solid inches? A 4423680.

103. In 4423680 solid inches, how many cords of wood? 4. 20.

104. In 500 bushels, 3 pecks, 7 qts. 1 pt. how many pints? A. 32063.

105. In 32063 pints, how many bushels? A. 500 bu. 3 pks. 7 qts. 1 pt.

106. In 20 tuns of wine, how many gills? A. 161280

107. In 161280 gills of wine, how many tuns? A. 20.

108. In 360 years, 300 days, 20 hours, 50 minutes, and 37 seconds, how many seconds? A. 11386731037.

109. In 11386731037 seconds, how many years? A. 360 yrs. 300 days, 20 hours, 50 minutes, and 37 seconds.

110. In 8 signs of the Zodiac, how many seconds › 864000.

A.

111. In 20 purses, each containing 21 guineas, how many shillings, pence, and farthings? A. 11760 s. 141120 d. 564480 far.

112. In 5 ingots of silver, each 5 lbs. 6 oz. 20 grs., grains? A. 158500.

how many

113. In 239130 grains, how many ingots, each 6 lbs. 11 oz. 15 grs.? A. 6.

114. A lady sent a tankard to a silversmith, that weighed 5 lbs. 3 oz. and ordered it to be made into spoons, each to weigh 2 oz. 2 pwts; how many spoons did it make? A. 30.

115. A goldsmith, having 15 ingots of silver, each weighing 2 lbs. 7 oz. 3 pwts., which he wishes to make into bowls of 2 lbs

ox., tankards of 1 lb. 10 oz., salts of 11 oz., and spoons of Los 15 pwts., and of each an equal number, how many will there be of each sort?

Bring 2 lbs. 8 oz., 1 lb. 10 oz., 11 oz., and 1 oz. 15 pwts., inte pennyweights; add them up for a divisor; then bring 2 lbs. oz. 3 pwts. into pennyweights, multiply by 15 for a dividend, divide, and the quotient will be the answer. A. 7.

116. In 26880 lbs. of, sugar, how many hhds., each 12 cwt. 4. 20.

117. How many barley corns will reach round the globe, being 360 degrees? A. 4755801600.

118. In running 300 miles, how many times will a wheel feet 2 inches in circumference, turn round? A. 172800.

119. In 172800 turns of a wheel measuring 9 feet 2 inches, how many miles? A. 300.

120. How many times will a wheel, which is 15 feet 9 inches In circumference, turn round in going from Providence to Norwich, it being 45 miles? A. 15085+

121. A farmer rents a plantation of 400 acres, of which no more than 200 are to be tilled; how many poles are there in the remainder? A. 32000.

122. In a lunar month, of 27 days, 7 hours, 43 minutes, 5 seconds, how many seconds? A. 2360585.

123. How many seconds is it from the birth of our Saviour to Christmas, 1828, allowing the year to contain 365 days, or 365 days 6 hours? A. 57687292800.

124. When a person is 21 years old, how many seconds old is he? 4. 662709600.

125. It is supposed the wars of Bonaparte, in 20 years, caused the death of 2000000 of persons; how many was this per hour, allowing the year to contain 365 days 6 hours? A. 1172

COMPOUND ADDITION.

XXX. 1. William, bought an arithmetic for 2s. 6d, and an inkstand for 6 d.; how many shillings did both cost! 2. Harry purchased a vest; the cloth and making cost 58., the buttons 9 d., and the thread 3 d.; how much did the vest cost?

3. William, Harry, and Thomas gathered some nuts; and when they measured them, it was found that William had 2

one.

Q. What do you mean by more denominations than one?

A. Shillings, pence, &c. in one sum; pecks, quarts, pints, &c. in another sum.

Q. What, then, is the collecting numbers of different denominations into one sum called?

A. Compound Addition.

Operation by Slate illustrated.

A man bought a cart for 6 £ 12 s. 3 d., a load of hay for 3 9. 7 d., and a cow for 4 £ 4 s. 1 d.; what did he pay for the whole

A. Adding up the column of shillings, I find it makes 25.8. 1 £5 s. (for 20 s. in 25, 1 time, and 5 over), writing the 5 s. under the column of shillings.

What is to be done with the 1 £?

A. I must, of course, add pounds to pounds, and, to do this, I join, or carry, it to the next column, which is pounds. Q. How do you get the 14 £?

A. Adding up the column of pounds makes 13 pounds, and.... 1 (to carry) makes 14 £.

From these illustrations we derive the following

RULE.

Q. How do you place the numbers to be added?

A. Pounds under pounds, shillings under shik lings, drams under drams, &c.

Q. At which hand do you begin to add?
A. At the right.

Q. How do you add up the first column?
A. As in Simple Addition.

Q. What do you divide the amount by?

A. By as many of this denomination as make one of the next higher, as in Reduction.

Q. What do you do with the remainder?

A. Write it underneath.

Q. What do you carry to the next column?

A. The quotient.

Q. How long do you proceed in this way?

A. Till I come to the last column.

Q. How do you proceed with this?

A. Add it up, and set the whole amount down,

as in Simple Addition.

PROOF. Q. What is the proof?

A. The same as in Simple Addition.

More Exercises for the Slate.

2. Bought a cart for 2£ 15 s., a plough for 188.; how much did both cost? A. 3£ 13 s.

3. Bought a coat for 5 £6 s., a watch for 1 £ 19 s.; how much did they come to? A. 7£5 s.

4. A man bought one load of hay for 6£38. and another for 7 £ 15 s. 6 d.; how much did he give for both? A. 13 £ 18s. 6 d.

5. Sold an ox for 10£ 15 6d, a cow for 6 £ 19 ■. 11 d., §