cy. 3. Reduce $289.48cts. to Delaware and Maryland currenAns 1081, 11s. 1d. + Case 4. To reduce Federal money to the currency of South Carolina, and Georgia, Rule. Multiply the given sum by 7 (tenths,) and divide the product by 3, and proceed as before. EXAMPLES. 1. Reduce $164.28cts. to South Carolina, and Georgia currency. Ans. 381. 6s. 7d. 2.72qrs. Mind and place the decimal point in its proper place. 2. Reduce $295.41cts. to Georgia currency. Ans 681, 18s. 6d. 3qrs. + Case 5. To reduce Federal money to the currency of Canada, and Nova Scotia. Rule. Divide the given sum by 4; the quotient will be the pounds, &c. EXAMPLES. 1. Change $195.46cts. 3m. to Nova Scotia currency. Ans. 481. 17s. 3d. 3.12qrs. Divide 195.643 by 4; place the point where it ought to be. 2. Change $160.49cts. to Canada currency. Ans. 401, 2s, 5d, 1qr. Case 6. To reduce Federal money into British, or Sterling money. Rule. Multiply the given sum by .225 (thousandths,) or multiply by 9, and divide by 40; the result will be the pounds, &c. EXAMPLES. 1. Change $150.40cts. to British, or Sterling money. Ans. 331. 163. 9d. 2.4qrs. Place the point correct, proceed with the decimals as before. 2, Change $293.49cts. to British or Sterling money, Ans. 661, Os. 8d. 1qr. + Case 7. To reduce Federal money to Irish money. Rule. Multiply the given sum by 39, and divide by 160; the quotient will be the pounds, &c. EXAMPLES. 1. Change $100,20cts. into Irish money. Ans. 241. 8s. 5d. 2.8qrs. Dividing by 160, will bring 24.4235, with which proceed as before. 2. Reduce $202.50cts. into Irish money. Ans. 491. 7s. 2d. 1qr. To find the rule by the foregoing table: First, find the given currency in the left hand column, then cast your eye towards the right hand, till you come under the currency required, and you will have the rule. APPLICATION OF THE PRECEDING RULES. 27 6 8 EXAMPLE FOR ILLUSTRATION. 1. To change 821. Connecticut currency, into New-York and North Carolina currency? Ans. 1091, 6s, 8d. 1. S. d. To find the rule, I found the given currency, 3)82 0 0 viz. New England in the left hand column; and then, cast my eye to the right till I came under New York, where the rule says, add one third of the sum to itself; accordingly, I divided by 3, and 1. S. d. added the quotient to the given sum, which brought the answer. Observe, To know which the New England states are, refer to the table, p. 103. 109 6 8 EXAMPLES. 2. Change 109l. 14s. 6d. New Jersey currency, into British or Sterling money. Ans. 651. 16s. 84d, and rem. By the table you will see that you must multiply by 3, and divide by 5, to bring New Jersey currency to British, or Sterling money. This may be done by compound multiplication and division. 3. Change 3451. 17s. 4d. New York and North Carolina currency, into New Jersey, &c. currency. Ans. 2301. 10s, The rule in the table says, deduct, &c. Divide by 16 and subtract the quotient from the given sum. 4. Change 2001, Delaware and Maryland currency into British or Sterling money, Ans. 1201. Examine the rule in the table; it says, multiply by 3 and divide by 5. 5. Change 30l. 17s. 6d, New England currency into Irish money. Ans. 251. 1s. 8d. 2qrs. and rem. The rule says, multiply by 13 and divide by 16. Note. When necessary, reduce the shillings, &c. to a decimal. 5. Change 481. 17s. 4d. Massachusetts currency into New Jersey currency. Ans. 611. 1s. 8d. Massachusetts is a New England state. Find the rule and proceed. 7. Change 1401. Canada currency, into New York and North Carolina currency. Ans. 2241. 8. Change 1951. 10s. 8d. South Carolina and Georgia currency, into New England currency. Ans. 2511, 8s. 9. Change 401. 8s. 6d. Canada, &c. currency into New England currency. Ans. 481. 10s. 2d. 1qr. and rem. 10. Reduce or change 281. 17s. 6d. New York currency, into Connecticut or N. England currency. Ans. 217. 13s. 1d. 2qrs. 11, Reduce or change 901. New-York, &c. currency, into Irish money. Ans. 54l. 16s. 10d. 2qrs. 12. Change 100l. sterling money, into New-York, &c. currency. Ans. 1771. 15s. 6d. 2qrs. and rem. 13. Change 491. 10s. New Jersey, &c. currency, into NewYork and North Carolina currency. Ans, 521. 16s. 14. Change 401. Irish, into New England currency. Ans. 491. 4s. 7d. 1qr. and rem. 15. Change 911. 17s. 4d. New-York, &c. currency into Vir ginia currency. Ans. 681. 18, 16. Reduce 100£, New Jersey currency, into South Caroli na and Georgia currency. Ans. 62£ 4s. 5d. 1qr. and rem. 17. Reduce 40£ New Jersey, &c. currency, into Irish mo ney. Ans. 261. 18. Change 1301. South Carolina and Georgia currency, into British or Sterling money. Ans. 125l. 7s. 1d. 2qrs. and r. 19. Change 99l. 14s. 11d. Virginia currency, into Sterling money. Ans. 771, 16s. 2d. 1qr. 20. Reduce or change 481. Canada, &c. currency, into Ster ling money. Ans. 461. 16s. DUODECIMALS. Duodecimals are fractions of a foot, or an inch, or parts of an inch, having 12 for the denominator. This rule is useful in casting up the content of any thing, where the dimensions, in length and width, or length, breadth, and width are given in feet, inches, &c. The denominations of this rule, are foot, inch, second, third and fourth-12 fourths make 1 third; 12 thirds, 1 second; 12 seconds, 1 inch; 12 inches, 1 foot; the denominations are denoted thus: ft. for feet; in. for inches; seconds; "thirds; and '''' for fourths. " MULTIPLICATION OF DUODECIMALS.* Set the feet in the multiplier under the least denomination in the multiplicand, and the rest in order, as in the example for lustration; then, begin with the lowest denomination, and mul lv as in compound multiplication; dividing each product by 1 Subtraction of Duodecimals, are performed in the same pound addition and subtraction. 12, placing the first remainder under the figure you are multiplying by, and the rest in order, as you proceed. As you multiply, mind and place each product under the denomination by which it was produced; the sum of all the products will be the answer required. NOTE. - Feet multiplied by feet produce feet. Feet multiplied by inches produce inches. EXAMPLE FOR ILLUSTRATION. 1. What is the content of a mahogany board, that measures 12 feet, 8 inches, 3 seconds in length, and 1 foot, 9 inches, 4 seconds in width? Ans. 22 feet, 6 inches, 8 seconds. ft. in. " 12 8 3 2 12 8 3 3 According to rule, I placed the feet of the multiplier under the least denomination of 19 4 the multiplicand, and the rest in order; then I began with the lowest denomination, and, 2 9 O multiplied as in compound multiplication, placing each product as directed in the rule, which you will see by examining the question. When I multiplied by 4, the first fig22 6 8 0 0 ure, I said, 4 times 3 are 12; then 12 into ft. in. 12, once and 0 over; set down 0 and carry 1; again, 4 times 8 are 32, and 1 that I carry makes 33; 12 into 33, twice and 9 over; set down 9 and carry 2; four times 12 are 48, and 2 are 50; twelve into 50, four times and 2 over; this I set down as you see in the margin, and proceeded in the same manner with the rest. NOTE.-When there are no feet in the multiplier, supply their place with a cipher, and do the same with any other denomination between the highest and lowest. EXAMPLES. 2. How many feet are there in a board, that measures 12 feet, 3 inches long, and 2 feet, 9 inches wide? Ans. 33 feet, 8 inches, 3 sec. Multiply as directed in the rule, saying, 9 times 3 are 27; twelve into 27, twice and 3, &c. This question can be done by decimals, by reducing the 9 in. and 3 in. to a decimal, and annexing them to the feet; as in the margin. Multiply this last, and point off the decimals. then, find the proper quantity of the fract as before taught. 21 |