A TABLE OF COINS Which pass current in the United States of North America, with their Sterling and Federal Value. All other Gold Coins of equal fineness, at 89 cents per dwt., and Silver at 111 cents per oz. COMPOUND REDUCTION. Compound Reduction teaches to change any sum or quantity which consists of several denominations, to a given denomination; and to change a sum of one kind of money to a given denomination of another kind. When a sum or quantity, consisting of several denominations, is to be changed to a given denomination, work by the following RULE. Reduce the highest denomination to the next lower one, and this again to the next lower, and so on; observing to add to the amount of each denomination the number there is of that denomination in the given sum or quantity. *The frimer of these two operations is given merely to render the application of the rule more intelligible: the method of adding in the denominations of the sum, as in the latter operation, should be explained to the scholar. 2. Reduce 36 L. 3. Reduce 32 L. 15 s. to shillings. 4. Bring 102 L. 19 s. 74 d. to farthings. Facit 735 s. Result 7828 d. Result 98861 qrs. 5. Bring 21 L. 10 s. 6 d. to farthings. Result 20666 qrs. 6. Reduce 137 L. 15 s. 64 d. to farthings. Result 132267 qrs. 14 d. to halfpence. 7. Bring 45 L. 3 s. 8. Bring 10 L. 10s to halfpence. 9. Bring 5 L. 6 s. to farthings. 10. Bring 2 L. 0 s. 64 d. to farthings. 11. Bring 6 s. 64 d. to farthings. Result 21675 halfpence. Note 1-A sum of Federal Money, Facit 2550 cts. of dollars and cents, is reduced to cents, by simply removing the separating point. 12. Reduce $25.50 to cents. 13. Bring $456.05 to cents. 14. Bring $967.10 to cents. Result 45605 cts. Result 96710 cts. Note 2.-To reduce a sum which consists of dollars and cents, to fourths, thirds, or halves of a cent, &c., reduce it first to cents as in the foregoing examples, then reduce those cents to fourths, thirds, or halves, &c., as under rule 1, note 2, Simple Reduction. 15. Reduce $5.25 to fourths or quarters of a cent. Facit 2100 fourths. 16. Bring $10.18% to fourths of a cent Result 4075 fourths. 17. Bring $95.12 to fourths of a cent. Result 38050 fourths. 18. Reduce $17.33 to thirds of a cent. Result 5200 thirds. 19 Reduce $56.66% to thirds of a cent. Result 17000 thirds. * 20. Bring $420.10 to half cents. 21. Bring $375.12 to half cents. Result 75025 halves. Note 3.-To reduce pence, Pennsylvania currency, to cents, annex a cypher to their number, and divide by 9. To reduce pence to mills, annex two cyphers, and divide by 9. * The same rule that applies to Pennsylvania currency applies also to the currencies of New Jersey, Delaware, and Maryland G 22. Reduce 1575 pence to cents. Facit 1750 cts. 9)15750 1750 cents Result 5250 cts. 23. Bring 4725 pence to cents. 24. Bring 3150 pence to cents. 25. Reduce 1575 pence to mills. Result 3500 cts. Facit 17500 mills. Note 4.-To change pounds, Pennsylvania currency, to Federal Money, annex two cyphers to their number, then multiply by 8, and divide the product by 3; the quotient will be cents, which reduce to dollars. 26. Reduce 25 pounds to dollars. 2500 Facit $66.66 8 3)20000 $66.663 27. Bring 150 pounds to dollars. 28. Bring 756 pounds to dollars. 29. Bring 17 pounds to dollars. Result $400.00 Result $2016.00. Result $45.33. If there are shillings, or shillings and pence, with the pounds, reduce the whole to pence; then reduce those pence to cents, and the cents to dollars. 30. Reduce 156 pounds, 6 shillings, to dollars. Facit $416.80. 31. Bring 29 pounds, 12 shillings, to dollars. Result $78.93. 32. Bring 100 pounds, 12 shillings, and 6 pence, to dollars. Result $268.33. Note 5.-To reduce cents to pence, Pennsylvania currency, multiply by 9, and separate one figure from the right of the product. 33. Reduce 359 cents to pence. 359 Result 323 pence. 9 323 1 Facit 80 pence. Facit 315 pence. 34. Bring 89 cents to pence. 35. Bring 350 cents to pence. Note 6.-To reduce dollars, or dollars and cents, to pounds, Pennsylvania currency, reduce them first to cents, then reduce those cents to pence, and then reduce those pence to pounds. 36. Reduce $68.30 to pounds. 37. Bring $450 to pounds. Note 7.-To reduce pounds sterling to Federal Money, bring them to sixpences, or to pence, and to these annex two cyphers; then, if sixpences, divide by 9, but if pence, divide by 54, and the quotient will be cents, which reduce to dollars. 42. Reduce 230 L. 15s. 6d. sterling to Federal Money. 230 L. 15 s. 6 d. 20 4615 2 9)923100 Result $1025.66+ 43. Reduce 218 L. 19 s. 6 d. sterling to Federal Mo ney. Facit $973.22+ 44. Bring 25 L. sterling to Federal Money. Result $111.11 + Facit 1946 dols. 22 cts. 45. Bring 437 L. 18 s. sterling to Federal Money. |