Q. In what does the reduction of a currency to Federal Money consist? What is the value of the English pound as formerly estimated? How will you reduce pounds of this value to Federal Money? Give the General Rule for reducing any currency to Federal Money. What is the custom-house value of the pound established by act of Congress in 1832? How will you reduce pounds of this value to Federal Money? CANADA CURRENCY. 1. Change £25 10s 6d to Federal Money. $1=5s=60d; £1 $1 :: 240: 60 OPERATION. £25 10s 6d=£25,525 25,525 X4-102,10. Ans. $102,10. 2. Change £69 15s 5d to Federal Money. Ans. $279,08 3+. NEW ENGLAND CURRENCY. 1. Change £40 6s 6d to Federal Money. $1=6s=72d; £1 $1 : 240: 72 £1=$1x240=$1x. Hence, New England Currency is reduced to OPERATION. £40 6s 6d=£40,325 40,325x=134,416+. Ans. $134,41 6+. Federal Money by multiplying by 10 and dividing by 3. 2. Change £125 15s 8d to Federal Money. Ans. $419,27 7+. NEW YORK CURRENCY. 1. Change £365 10s 6d to Federal Money. $1 8s-96d. OPERATION. £365 10s 6d=£365,525 365,525×10913,812+ Ans. $913,812+. Money by multiplying by 10 and dividing the product by 4. 2. Change £20 18s 9d to Federal Money. Ans. $52,343+. PENNSYLVANIA CURRENCY. 1. Change £9 8s 3d to Federal Money. $1=7s 6d=90d. £1: $1 :: 240: 90. £1=$1×240=$3 90 Hence, to reduce Pennsylvania Currency to Federal Money, we multiply by 8 and divide by 3. OPERATION. £9 8s 3d £9,4125 9,412525,10. Ans. $25,10 2. Change £19 18s 2d to Federal Money. GEORGIA CURRENCY.. Ans. $53,088+. 1. Change £187 9s 10d to Federal Money.. $1-4s 8d=56d. £1: $1 :: 240: 56. = 56 £1=$1x240 $130. Hence, we reduce Georgia Currency to OPERATION. £187 9s 10d=£187,49166+ 187,49166 × 30=803,535. Ans. $803,535+. Federal Money by multiplying by 30 and dividing by 7. 2. Change £26 14s 6d to Federal Money. Ans. $114,535+. 1. Reduce £112 18s 9d in each of the currencies named, to Federal Money. Ans. £112 18s 9d=£112,9375. £112,9375 Sterling Money £112,9375 New England £112,9375 Georgia CASE II. =$301,166+. =$484,017+. $148. To change a sum expressed in Federal Money to any one of the above currencies. In changing pounds to Federal Money, we found the value of a pound in the fraction of a dollar and multiplied the pounds by this fraction. Now, to change dollars to pounds, we must find the value of a dollar in the fraction of a pound and multiply the dollars by this fraction. For example, in English Money, £1 $1 : 240 : 54, and $1=£1×4=£1×= 54 of £1. Ex. 1. Reduce $32,789 to English or Sterling Money. § 149. Hence, to pass from Federal Money to pounds shillings and pence, we have the following RULE. I. Find the value of a dollar in the fraction of a pound. II. Multiply the given sum by this fraction. III. Reduce the product to pounds shillings and penee. NOTE. The multiplier in each case, in passing from Federal Money to pounds shillings and pence, will be the fraction used in the corresponding case in passing to Federal money, with its terms inverted. Q. How do you pass from Federal Money to either of the currencies? How does this multiplier compare with the multiplier used in passing from pounds to Federal money? 2. Reduce $250 to the several currencies. $250 £56 5s £62 10s $250 £75 $250 Ans. $250 £100 $250 £93 15s Sterling Money. Canada Currency. Pennsylvania Currency. $250 £58 6s 73d.+ Georgia Currency. The following are the rates at which foreign coins are estimated at the custom-houses of the United States. English by act of Congress of 1832 Silver Rouble of Russia Florin or Guilder of the United Netherlands Mark Banco of Hamburg Real of Plate of Spain $4,80 $,18 $,183 ,75 $,40 $,331 $,10 $,05 $1,24 $1,48 $1,84 $,50 150. Practice is a short method of finding the answers to questions in the Rule of Three, when the first term is unity. For example, if one yard of cloth cost half a dollar, what will 60 yards cost. This is a question which may be answered by the rule called Practice. If the cloth had been $1 per yard, the cost of 60 yards would have been $60; but since it is only a part of a dollar per yard, the whole cost will be the same part of $60, that the cost of one yard is of $1; that is, of 60. Hence the cost is of $60 or $30. Ans. $30. § 151. One number is said to be an aliquot part of another, when it forms an exact part of it: that is, when it is contained in that other an exact number of times. Hence, an aliquot part is an exact or even part. For example, 25 cents is an. aliquot part of a dollar. It is an exact fourth part, and is contained in the dollar four times. So also, 2 months, 3 months, 4 months, and 6 months, are all aliquot parts of a year. TABLE OF ALIQUOT PARTS. Q. What is practice? If one yard of cloth cost $8, what will half a yard cost? What will one quarter of a yard cost? When is one number said to be an aliquot part of another? What is an aliquot part? What are the aliquot parts of a dollar expressed in the table? What the aliquot parts of a year? What the aliquot parts of a month? What the aliquot parts of a pound? What the aliquot parts of a shilling? EXAMPLES. 1. What is the cost of 376 yards of cloth at $0,75, or 3 of a dollar, per yard? Had the cloth cost $1 per yard, the cost of the 376 yards would have been $376. Had it cost 50cts. per yard, the cost would have been of $376, or $188: had it been 25cts. per yard, the cost would have been of $376 or $94; but the price being 75cts. per yard, the cost is 188+94-$282. 2. What is the cost of 196 yards of cotton, at 9d per yard? 196yd. at 6d or s=98s 196yd. at 3d or s=49s Therefore, 196yd. at 9d or 3s=147s=£7 7s. Ans. |