Also-13 thousands, 3 hundreds 26 casts at $40. 20,921 47. What will 56 bundles of hoops come to at $25 per M of 30 bundles ? NOTE. Hoops are sometimes bound in bundles of 30 hoops each, and 4 such bundles are 1 hundred, and 10 hundred, or 40 bundles, 1 thousand. But they are generally bound in bundles of 40 each, 3 bundles making 1 hundred, and 10 hundred, or 30 bundles, 1 thousand. 48. 3)56 10 hund. $25 18 hund. :) Or, 30 bund. $25 :: 56 bund. : $46,663 cts. 49. If 98 lbs. net of sugar be equal to 1 cwt. gross, what gross weight is equal to 5 cwt. 2 qrs. net. ? Ans. 6 cwt. 1 qr. 20 lbs. 50. What is the freight of 10,000 bricks from Waldoboro' to Boston, at $1,25 per 2000 lbs. allowing 6 bricks to weigh 26 lbs. ? Ans. $27,60. 51. What is the tax on lands, &c. valued at $2957 in the direct tax, at 28 cts. and 3 mills on the 100 dollars ? Ans. $8 36 cts. 8 ms. 52. What is the tax on 753 dollars, at per cent.? 753 dollars. 3 mills. 2259 mills. 53. Find the tax on the following sums: viz. $1550 at per cent. 4560 Ans. $2 25 cts. 9 ms. Ans. $6 20. 22 80. 47 10. 88 76. 54. What will a piece of land, measuring 48 feet in length; and 40 in width at each end, amount to, at 20 dollars per square rod ? 55. A chartér party for a vessel of 186 tons commenced on the 28th of May, and ended on the 10th of October following. What does the hire amount to for that time, at $2 per ton per month of 30 days? 186 days. May 4 Ans. $1686,40 56. If a man receive $15 for 1 year's interest of money, lent at 6 per cent. per annum, how much was the sum lent? Ans. $250. 57. Bought 40 tubs of butter, weighing 36 cwt. 2 qrs. 14 Ib. net, for $472,02; paid cooperage 12 cts. per tub; salt and labour 4 dols. 83 cts. 8 ms.; storage 6 dols. 48 cts.—I would know what it stands me in per lb.? Ans. 11 cts. 9 mills. 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. EXAMPLES. 1. If 100 workmen complete a piece of work in 12 days, how many are sufficient to do it in 3 days? days. men. days. 3)1200 400 Ans. 400 men. 2. If 8 boarders drink a barrel of cider in 12 days, how long would it last if 4 more came among them? Ans. 8 days. 3. When wheat is sold at 93 cents per bushel, the penny loaf weighs 12 ounces: what must it weigh when the wheat is $1,24 per bushel? Ans. 9 ounces. 4. How many yards of baize, 3 qrs. wide, will line a cloak which has in it 12 yards of camlet, half a yard wide? Ans. 8 yards. 5. 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? Ans. 160 men. 6. What sum should be put to interest to gain as much in 1 month, as $127 would gain in 12 months? Ans. $1524. 7. If a head of 7 feet of water with 30 mill powers will reduce a pond of 200 acres, 8 inches in a day, how much will a head of 6 feet reduce it in the same time? 7:8::6 6)56 Ans. 9 inches. 8. If 30 mill powers would reduce a pond of 7 feet head 71⁄2 inches in a day, how much would they reduce a pond of 6 feet 6 inches head, in the same time? 7 ft.: 7: : 6 63 84 4 78 inches. 4 336: 7: : 315 2352 168 315)2520(8 Ans. 8 inches. 9. A ship's company of 15 persons is supposed to have bread to last their voyage, allowing each 8 ounces per daywhen they picked up a crew of 5 persons in distress, to whom they are willing to communicate, what will the daily allowance of each person then be? Ans. 6 ounces. 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, second and last terms together for a dividend, and the other two for a divisor; and the quotient will be the answer. EXAMPLES. 1. If £100 in 12 months gain £5, how much will £400 gain in 3 months? mo. 4810 : 12 : 5 £ 100 400 : 3 2. What is the interest of $654 for 164 days, at 6 per cent. per annum, taking the year at 360 days? 100 360 6)36000 6000 the fixed divisor. 654 dollars. 164 2616 3924 654 6,000) 107,256 Ans. $17,87,6 mills. 3. If 8 men make 24 rods of wall in 6 days, how many men will build 18 rods in 3 days? The answers may be found by two distinct operations, thus: 4. If a basin of 190 acres would rise 10 inches in 12 hours, |