31 M. 52. What will 19 M. 800 and 15 casts of white oak hhd. ftaves come to at dols. per M.? Ans, 614 dols. 96 cts. 2 ms. 53. What will 22 M. 900 caits of red oak hhd. staves come to at 13 dls. Ans. 298 dols. 90 cts. 2 ms. 54. What will 56 bundles of hoops come to at 25 dols. per of 30 bund. ? NOTE. Hoops are sometimes bound in bundles of 30 hoops each, and four such bundles are 1 hundred, and 10 hundred or 40 bundles, thousand, But they are generally bound in bundles of 40 each, 3 bundles making 1 hundred, and io hundred or zobundles, 1 thou. land. 3)56 hund. dols. Or bund. dols. bund. 30 : 25 : 56 25 If 10 36. Dls. cts. : 326 310)14016 110)4616 46,66} 46,6} An 46 dols. 63 dimes, or 66 cts. 55. How many bushels of salt, at 4 dolls. 75 cts. per hhd. can I have for 326 dollars ? bush. dls. If 4 75 8 Anf. 549 bushels, when measured on board the vessel. If 4 75 71 :: 77 :: 326 Anf. 514 bushels 3 pecks, nearly, when mealured ashore. 56. What is the tax on lands, &c. valued at 2957 dollars, in the direct tax, at 28.cents and 3 mills on the hundred dollars ? Int.' 8 dols. 36 cts. 8 m. 57. What is the tax on a house, valued at goo dollars, in the direct tax, at f'o per cent. ? dols. dols. dols, 23 If 100 : 100) 270,0 Ans. 2 dols. 70 cts. Or, As po per cent. is equal to 3 mills on the dolla, multiplying the sum in dollars by 3, gives the answer in mills. EXAMPLE 58. What is the tax on 753 dollars at jo per cent. ? 753 dollars 3 mills 2259 mills. 20 22 6 TO 10 Anf. 9 dols. 25 cts. 9 m. 39. Find the tax on the following sums, dols. dols, cts, Anr, 6 80 47 12680 88 76 16950 135 60 24620 221 58 35840 358 40 60. What will a piece of land, measuring 48 feet in length and 40 feet in width at each end, amount to at 20 dols, per square rod? feet. 15 48 40 Anf. 141 4 cts. feet. dols. dols. If 272,25:20 1920 61. A charter party for a vessel of 186 tons commenced on 28th of May, and ended on the roth of October following : What does the hire amount to for that time, at 2 dolsa per ton per month of 30 days. days. May 4 June 30 July 31 August 31 186 Septem. 30 2 dogs. per mo. Oétober 10 372 If 30 136 2232 1116 372 3,05059,2 Anf. 1686 dols. 40 cts. In calculating the time, the days of receiving and discharging the vessel are both included. INVERSE PROPORTION. Whereas in the Rule of Three Direct, more requires more, and less requires less, in this rule more requires less and less requires more. Rule. After stating the terms as in the Rule of Three Direct, multiply the first and second terms together, and divide the product by the third, and the quotient is the answer. 1. If ic workmen complete a piece of work in 12 days, how many are sufficient to do it in 3 days? d. d. 3 12 : : 2. If 8 boarders drink a barrel of cider in 12 days, how long would it last if 4 more came among them? Anl. 8 days. 3. A ship's company of 15 persons is supposed to have bread to last their voyage, allowing each 8 ounces per day-when they pick up a crew of 5 persons in distress, to whom they are willing to com. municate, what will the daily allowance of each person then be ? Anf. 6 ounces. 4. When wheat is sold at 93 cents per bushel, the penny loaf weighs 12 ounces--what must it weigh when the wheat is i dollar per Anf. 9 ounces, 5. How many yards of baize, 3 quarters wide, will line a cloak, which has in it 12 yards of camblet, half yard wide ? Anf. 8 yards. 6. Suppose 400 men in a garrison are provided with provisions for 30 days, how many men must be sent out, if they would have the provisions last 50 days. Anf. s60 men. 7. What sum should be put to interest to gain as much in 1 month 127 dollars would gain in 12 months ? Ans. 1524 dols. 24 cents as COMPOUND PROPORTION, COMPOUND PROPORTION teaches to resolve such questions, as require two or more statings by simple proportion. Rule. State the question, by placing the three conditional terms in this order : that which is the principal cause of gain, loss, or action, possesses the first place ; that which denotes space of time or distance of place, the second ; and that which is the gain, loss, or action, the third ; then place the other two terms, which move the question, under those of the same name, and if the blank place fall under the third, multiply the three last terms for a dividend, and the two first for a divisor : but if the blank fall under the first or second place, multiply the first, fecond, and last terms together for a dividend, and the other two for a divilor ; and the quotient will be the answer. EXAMPLES. mo. 1. If £.100 in 12 months gain £ 5, how much will £ 400 gain in 3 months ? £. £. 5 400 3 3 100 I 2 : 2. If 8 men make 24 rods of wall in 6 days, how many men will build 18 rods in 3 days ? d. 8 6 24 18 m. 3. If a family of 9 persons spend 450 dollars in 5 months, how minch would be sufficient to maintain them 8 months, if five more were added to the family, Anf. 1120 dollars. |