2. Find the value of ,976£ by inspection. Ans. 19s. 64d. 3. Find the value of ,542.£ by inspection. Ans. 10s. 10d. 4. Find by inspection and add together the values of ,252£, ,875£, ,096£, ,763£, and ,008£. Ans. £1 19s. 104d. REDUCTION OF CURRENCIES. CASE I. To reduce the currencies of the several United States, where a dollar is an even number of shillings, to Federal Money. Rule 1.---When the sum consists of pounds only, annex a cipher to it, and divide by half the number of shillings in a dollar; and the quotient will be dollars; if there be a remainder, annex ciphers to it, and divide again, by which you will get the cents, &c. 2. But if the sum consists of pounds, shillings, pence, &c. bring it into shillings, and reduce the pence and farthings to a decimal of a shilling; annex said decimal to the shillings, with a decimal point between ; then divide the whole by the number of shillings contained in a dollar, and the quotient will be dollars, cents, mills, &c. EXAMPLES. 1. Reduce £73 New England, Virginia, &c. currency, to Federal Money. 3)730 $243,331cts. Ans. 2. Reduce £45 15s. 74d. New-England currency to Federal Money. 20 d. d.=,5 A dollar=6)915, 625 12)7,500 d. $152, 604+ Ans. ,625 decimal=74 C. m. 3. Reduce £105 14s. 3 d. New-York and North-Carolina currency to Federal Money. £. d. d. 12)3, 7500 A dollar=8)2114, 3125 ,3125 decimal= $264, 28906 + Ans. 10 C. m. 4. Reduce £431 New-York currency to Federal Money. 4)4310 $1077, 50cts. Ans. RULE 2.--Bring the given sum into a decimal expression by inspection, as in case 3 of decimal fractions ; then divide the whole by ,3 in New-England, &c. currency, and by ,4 in New-York, &c. currency; and the quotient will be dollars, cents, &c. EXAMPLES. 1. Reduce £54 8s. 3 d. New-England currency to Federal Money. ,3)54,415 decimally expressed. £. $181,38c. + Ans. 2. Reduce 7s. 113d. New-England currency to Federal Money. 7s. 114d.=£0,399 decimally expressed. Then ,3),399 $1,33c. Ans. 3. Reduce £513 16s. 10d. New-York, &c. currency to Federal Money. £. $1284,60_c. Ans. 4. Reduce 19s. 52d. New-York, &c. currency to Federal Money. £. $2, 434c. Ans. Note.-By the preceding rule, you may carry on the decimal to any degree of exactness; but in ordinary practice, the following Contraction may perhaps be useful. RULE 3.-To the shillings contained in the given sum, annex 8 times the given pence, increasing the product by 2; then divide the whole by the number of shillings contained in a dollar, and the quotient will be cents. EXAMPLES. 1. Reduce 45s. 6d. New-England, &c. currency, to Federal Money, 6x8+2=50 to be annexed. 6)45,50 $7,582c. Ans. or 6)4550 $ c. 758+cents=7,58 2. Reduce £2 10s. 9d. New-York, &c. currency, to Federal Money. £2 10s. 50s. 9x8+2=74 to be annexed. Then 8)5074 Or thus 8)50,74 634+cents=6,34 $6,34fc. Ans. Note.—When there are no pence given in the sum, you must annex two ciphers to the shillings; then divide as before, &c. 3. Reduce £3 5s. New-England currency, to Federal Money. £3 58.=65s. Then 6)6500 $ c. 1083fcts. =10,83] Ans. CASE II. To reduce the currency of New Jersey, Pennsylvania, Delaware, and Maryland, to Federal Money. Rule.-Multiply the given sum by 8, and divide the product by 3, and the quotient will be dollars, &c. . EXAMPLES. 1. Reduce £245 New-Jersey, &c. currency, to Federal Money. £245x8=1960, & 1960+3=$653}=$653,33_c. Ans. Note. When there are shillings, pence, &c. in the given sum, reduce them to the decimal of a pound, then multiply and divide as in the preceding question. 2. Reduce £36 11s. 8 d. New-Jersey, &c. currency, to Federal Money. £36,5854 decimal value. 8 3. Reduce 17s. 9d. New-Jersey, &c. to Federal Mon Ans. $2,36c. 64m. ey: CASE III. To reduce the currency of South-Carolina, and Georgia, to Federal Money. Rule.—Multiply the given sum by 30, and divide the product by 7; the quotient will be dollars, cents, &o. Or, multiply by 3 and divide by ,7. EXAMPLES. 1. Reduce £100 South-Carolina and Georgia, currency, to Federal Money. £100x30=3000; 3000;75$428,5714+ Ans. 2. Reduce £54 16s. 92đ. Georgia currency to Federal Money. 54,8406 decimal expression, 30 7)1645,2180 $235,0311+ Ans. 3. Reduce 11s. 6d. South-Carolina, &c. to Federal Money. Ans. $2 46c. 4m. + CASE IV. To reduce the currency of Canada and Nova-Scotia, to Federal Money. Rule.--Multiply the given sum by 4, if it contain pounds only, and the product will be dollars. If it contain shillings, reduce the whole to shillings, and divide by 5; if it contain pence, reduce the whole to pence, and divide by 60; and the quotient, in either case, will be dollars; to the remainders, if there be any, annex ciphers, and continue the division, by which you will obtain the cents and mills. Or, when the given sum contains shillings, pence, &c. reduce them to the decimal of a pound, annex the decimal to the pounds, and multiply the whole by 4; the product will be dollars, cents, &c. EXAMPLES. 1. Reduce £125 Canada and Nova-Scotia currency, to Federal Money. 125 4 $500 Ans. 2. Reduce £68 148. Nova-Scotia currency, to Federal Money. £. 68 14 Or 68, 7 decimal expression, 20 4 £. s. |