52. What will 19 M. 800 and 15 cafts of white oak hhd. ftaves come to at 31 dols. per M. ? Anf. 614 dols. 96 cts. 2 ms. 53. What will 22 M. 900 and 37 cafts of red oak hhd. staves come to at 13 dls. per M.? Anf. 298 dols. 90 cts. 2 ms. of 54. What will 56 bundles of hoops come to at 25 dols. per M. 30 bund. ? NOTE. Hoops are fometimes bound in bundles of 30 hoops each, and four fuch bundles are 1 hundred, and 10 hundred or 40 bundles, 1 thoufand. But they are generally bound in bundles of 40 each, 3 bundles making 1 hundred, and 10 hundred or go bundles, 1 thoutand. 46,63/ 310)14010 46,663 Anf 46 dols. 6 dimes, or 663 cts. 55. How bushels of falt, at 4 dolls. 75 cts. per hhd. can I many have for 326 dollars ? Dls. cts. bush. dls. If 4 75 : 8 :: 326 on board the vessel. 514 bufhels 3 pecks, nearly, when measured afhore. 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 ? 8 dols. 36 cts. 8 m. 57. What is the tax on a house, valued at goo dollars, in the direct tax, at per cent.? dols. dols. dols. Or, As per cent. is equal to 3 mills on the dolla multiplying the fum in dollars by 3, gives the answer in mills. EXAMPLE. 58. What is the tax on 753 dollars at per cent. ? 753 dollars 3 mills 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. dols. feet. 40 If 272:20:1920 By decimals. If 272,25: 20 1920 Anf. 141 dols. 4 cts. 61. A charter party for a veffel of 186 tons commenced on 28th of May, and ended on the 10th of October following: What does the hire amount to for that time, at 2 dols, per ton per month of 30 days. days. In calculating the time, the days of receiving and difcharging the veffel are both included. INVERSE PROPORTION. Whereas in the Rule of Three Direct, more requires more, and less requires lefs, 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 fecond terms together, and divide the product by the third, and the quotient is the answer. 1. If 100 workmen complete a piece of work in 12 days, how many are fufficient to do it in 3 days? d. d. 2. If 8 boarders drink a barrel of cider in 12 days, how long would it last if 4 more came among them? Anf. 8 days. 3. A fhip's company of 15 perfons is supposed to have bread to laft their voyage, allowing each 8 ounces per day-when they pick up a crew of 5 perfons in distress, to whom they are willing to communicate, what will the daily allowance of each person then be ? Anf. 6 ounces. 4. When wheat is fold at 93 cents per bufhel, the penny loaf weighs 12 ounces-what muft it weigh when the wheat is I dollar 24 cents per bushel ? 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 provifions for 30 days, how many men must be sent out, if they would have the provifions laft 50 days. Anf. 160 men. 7. What fum should be put to intereft to gain as much in 1 month dollars would gain in 12 months? as 127 Anf. 1524 dols. COMPOUND PROPORTION. COMPOUND PROPORTION teaches to refolve fuch questions, as require two or more ftatings by fimple proportion. RULE. State the question, by placing the three conditional terms in this order: that which is the principal caufe of gain, lofs, or action, poffeffes the first place; that which denotes fpace of time or diftance of place, the fecond; 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 fame name, and if the blank place fall under the third, multiply the three last terms for a dividend, and the two first for a divifor but if the blank fall under the first or second place, multiply the first, fecond, and laft terms together for a dividend, and the other two for a divifor; and the quotient will be the answer. 1. EXAMPLES. If £100 in 12 months gain £5, how much will £400 gain in 3 months? £. 2. If 8 men make 24 rods of wall in 6 days, how many men will build 18 rods in 3 days ?. m. d. T. 3. If a family of 9 perfons fpend 450 dollars in 5 months, how mmch would be fufficient to maintain them 8 months, if five more were added to the family. Anf. 1120 dollars. |