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86. What is the value of 416 gal. 3qt 1pt. of wine, at $1.359 per gallon?

In this example, first reduce the quantity of wme to a decimal expression,- the gallon being the unit and then multiply this quantity into the price of 1 gallon: the answer will be $566.533+. The following examples in this case are to be performed in like manner.

87. What is the value of 57 yd. 2qr. 3 na. of cloth, at $6.78 per yard?

88. What is the value of 748 yards of ribbon, at 9 cents 8 mills [.098] per yard?

89. What is the value of 5741 yd. 3 qr. of tape, at 7 mills [.007] per yard?

90. What is the value of 4 cwt. 1qr. 19 lb. of raisins, at $12 per hundred-weight?

91. What is the value of 32 hhd. 22 gal. of molasses, at $19.22 per hogshead?

92. What is the value of 3 pk. 7 qt. of corn, at 75 cents per bushel?

93. What is the cost of 15 E.e. 4 qr. 3 na. of linen, at $1.15 per ell?

94. What is the cost of 7 A. 2R. 38r. of land, at $64.50 per acre?

95. What is the cost of 28 square rods and 260 square feet of land, at $84.25 per rod?

96. What is the cost of 29 lb. 6 oz. 8 dr. of indigo, at $3.75 per pound?

97. What is the cost of 4qr. 3na. of thread lace, at $4.50 per French ell.?

98. What is the value of 7 lb. 10 oz. 18 dwt. of copper, at 27 cents per pound?

99. What is the value of 11 oz. 19 dwt 23 gr. of silver at $15.25 per pound?

CASE IV. To reduce the decimal of a higher denomi nation to its value in whole numbers of lower denomination.

RULE. Multiply the decimal by that number of the next lower denomination which makes a unit of the higher, and the product will be of the lower denomination

Proceed in like manner with the decimal in each suc

ceeding product.

100. Reduce .769 r. to its value in yards, feet, and inches; that is, change .769 of a rod to yards, &c.

.769

5.5

3845

3845

4.2295

3

.6885

12 8.2620

There are 5 times, or 5.5 times as many yards as rods in any quantity, whether that quantity be a whole number or a decimal: therefore, we mul. tiply the decimal of a rod by 5.5, and the product is 4.2295 yards. We then multiply .2295 of a yard by 3, to find the feet; but there is not a whole foot in this decimal, and we proceed to find the inches. The whole result is, 4yd. Oft. 8.262 in.

101. Reduce .775 £ to its value in shillings, &c. 102. Reduce .625 s. to its value in pence and farthings. 103. Reduce .4694 lb. Troy, to oz., dwt., &c. 104. Reduce .624 cwt. to its value in qr., lb., &c. 105. Reduce .0653 mile to its value in yd., &c. 106. Reduce .3875 A. to its value in R. and rods. 107. Reduce .0098 ton to its value in lb., oz., and di 108. Reduce .2083 hhd. to its value in gallons. 109. Reduce .467 cwt. to its value in qr. lb. &c. 110. Reduce £741.687 to its proper expression, in pounds, shillings, pence, and farthings.

111. Reduce 84.704 miles to its proper expression, in miles, furlongs, rods, yards, &c.

112. Reduce 50.742 A. to its proper expression, in the several denominations of square measure.

EXCHANGE OF CURRENCIES.

Before the adoption of the Federal currency, merchants in this country, kept their accounts in the denominations of English money. The value of the Pound, however, and consequently the value of its subdivisions, was various: that is, a pound, and consequently a shilling, signified a greater value of money in some of the states, than in others. Accounts are now kept, in Federal money, and

its denominations are generally used in stat mg prices. In some sections of the country, however, prices are fre quently mentioned in shillings and pence-a custom which is inconvenient, and which ought to be discontinued.

In New England, Virginia, Kentucky, and Tennes see, of a dollar is called a shilling.

In New York and North Carolina, of a dollar is called a shiling.

In Pennsylvania, New Jersey, Delaware, and Maryland, of a dollar is called a shilling.

In South Carolina and Georgia,

ed a shilling.

of a dollar is call.

In Canada, of a dollar is called a shilling.

113. How many cents and mills, that is, what decimal of a dollar, in a New-England shilling? in 2 shillings? in 3 shillings? in 4 shillings? in 5 shillings?

114. How many cents and mills in a New-York shilling? in 2s.? in 3s.? in 4s.? in 5s.? in 6s.? in 7 s.? 115. How many cents and mills in a Pennsylvania shilling? in 2s.? in 3s.? in 4s.? in 5s.? in 6 s.?

116. How many cents and mills in a Georgia shilling? in 2s.! in 3s.? in 4 s.?

117. How many cents are there in a Canada shilling? in 2s.? in 3s. in 4 s.? in 5 s.?

To change the old currencies to Federal money.

RULE. Reduce the pounds, if there be any, to shillings. Denote the shillings as units, reduce the pence and farthings to the decimal of a shilling, and multiply the whole sum by that fraction of a dollar which is equal to one shilling.

118. Change 13s. 6 d., of the old currency of New England, to Federal money.

119. Change £42 19 s. 4 d. of the old currency of New England, to Federal money.

120. Change 13s. 6d., of the old currency of New. York, to Federal money.

121. Change £25 17 s. 8 d., of the old currency í New York, to Federal money.

122. Change 18s 11 d., of the old currency of Pennsylvania, to Federal money.

123. Change £14 7s. 6d. of the old currency of Pennsylvania, to Federal money.

124. Change 16s. 10 d., of the old currency of Georgia, to Federal money.

125. Change £54 12s. 11 d., of the old currency of Georgia, to Federal money.

126. Change 17 s. 5 d., of the currency of Canada, to Federal money.

127. Change £21 9s. 3 d., of the currency of Canada, to Federal money.

128. What is the value, in Federal money, of 9 New England shillings? 9 New York shillings? 9 Pennsylvania shillings? 9 Georgia shillings? 9 Canada shillings?

MISCELLANEOUS EXAMPLES.

Any vulgar fraction, which shall appear in the following examples, must be reduced to a decimal; and the lower denominations of compound numbers must also be reduced to decimals, before they are brought into operation. No decimal need be continued lower than six places. An swers to be given in decimals.

129. What is the sum of 6 tons 18 cwt. 1 qr., 5 cwt 3qr. 2lb., 4.093825 tons, 2qr. 27 lb., 8 cwt. 2qr. 4lb., and 17 tons 5 cwt. Oqr. 19lb.?

130. What is the difference between 2.90843 hhd.. and 4 hhd. 47 gal. 3qt. 1 pt. of wine?

131. What is the cost of 15.179 yards of broadcloth, at $6 per yard?

132. If 57 yards of cloth cost $197, what costs lyd.? 133. What is the cost of 28 yd. 3 qr. of cloth, at $7.55 per yard?

134. If 18 yd. 1qr. of cloth cost $91.16, what is the cost of 1 yard?

135. What is the cost of 25 cwt. 2qr. 20lb. of hops, at $4.96 per hundred weight?

136. What is the cost of 24 hhd. 15 gal. of molasses, at $25.36 per hogshead?

137. What is the cost of 256 yd. 3.qr. of ribbon, at 8 cents 5 mills [ 085] per yard?

138. What is the cost of 24 yards of ribbon, at 7 cents per yard?

139. What is the cost of 3qr. 2na. of broadcloth, at $10.35 per yard?

140. What is the cost of 1 fir. 7 gal. 3qt. of beer, at $3.50 per firkin?

141. What is the value of 23 grains of silver, at $14 per pound, Troy?

142. What is the value of 25 square rods of land, at $75 per acre?

143. If $238.86 be divided equally among 18 men, what will each man receive?

144. If $775 be divided equally among 8 men, what will each man receive?

145. If a man travel 73.487 miles in 15 hours, what distance does he travel in 1 hour?

146. What is of 1142.26?

The result will be the same, whether we divide 1142. 26 by the denominator 8, (which is multiplying by ), or, reduce to a decimal and multiply this decimal into 1142.26. The former method is to be preferred; and the learner is here reminded, that the product of any decimal will be such a fractional part of the multiplicand as the decimal indicates.

147. What is .125 of 1142.26? 148. What is

149. What is

of 2.565? (Divide by 6). 6 of 2.565?

150. What is of 1999.2? 151. What is .56 of 1999.2?

(Multiply by .6).

152. What is 135 of 387.65? 153. What is .135 of 387.65 ?

154. What is 160 of 37241 dollars? 155. What is .06 of 37241 dollars?

156. Suppose I have $5872, and pay away .06 of it; how much shall I have left?

157. A owes B $430.40 to be paid in 10 months; but B relinquishes .05 of the debt for having it paid immediately. How much does B relinquish ?

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