To find what I dollar pays. If 822.50 cts. pay 225 dollars, what will 1 dollar To find what 1 cent will pay. pay ? If $22.50 cts. pay 225 dolls. what will 1 cent pay? D. cts. D. ct. From the above table take AB's tax. tate is $8.50. By the table $8 pays •50 66 His rateable es$80 $85 A. B's tax. In the same manner take each man's tax from the tables, and their proportion will be as follows. $225 tax. NOTE. The sum of all their tax is 225 dolls. The same as the sum which was raised; therefore the work is right. Suppose the estates in the preceding inventory are tax. ed in a further sum of 19 dollars (the first sum being inadequate to their purpose ;) I demand the proportion to each man, according to their several rateable estates. To find what one dollár pays. Say if 22 dolls. 50 cents pay 19 dollars; what will dollar pay? To find what 1 cent will pay. Say if 22 dolls. 50 cents pay 19 dollars what will cent pay? Dollar Table, from one dollar Cent Table, from one cent to From the last tables it is required to take A. B's. tax. His rateable estate is $8.50. Proceed in like manner to find the others' taxes, and their several proportions will stand thus: I. J. 1.08.4 Sum total, $18.88-0 which is twelve cents less, than the sum which ought to be raised; it being lost in the remainders, &c. NOTE. In assessing taxes, the law allows the assessors to assess a certain sum, over and above the necessary sum,” to be raised or else the tax would not be large enough, when there are remainders, which is almost always the case. INVERSE PROPORTION. Inverse proportion teaches by having three numbers given to find a fourth that shall have the same proportion to the third, as the first has to the second. When more requires less, the question is Inverse proportion; " when less requires more, the question is also Inverse proportion: More requires less, when the third term is larger than the first, and the sense of the question requires the fourth to be less than the second: Less requires more when the third term is smaller than the first, and the sense of the question requires the fourth to be greater than the second. RULE. Make that number which asks the question the third term; that, which is of the same name, the first term; and the other remaining number must be the middle term: then multiply the first and second terms togeth er, and divide the product by the third; the quotient will be the answer required. 1. If 8 men can build a tower in 12 days; I demand how long it would take them, if 4 more were added NOTE. In this example it is evident that 16 men would do the work quicker than 8, therefore more requires less: more men, less time, &c. The same question done the common way. Ans. 6 days. 2. There is a piece of land 16.5 rods long: I demand the width to make an acre, allowing 20 links to a rod. Ans. 9.696 rds. The same question done the common way. 3. A ship at sea is provided with bread and water sufficient to supply 20 men 9 months, 30 days to a month: but finding a wreck in which were 3 men and 3 boys, to whom they were willing to communicate relief: I demand the time they all can draw their alloware, allowing 2 boys equal to a man. Ans. 7.346 mo. The same question done the common way. Ans. 7 months 10 days. 4. There is a piece of land that is 10 rds. 10 links in width; I demand the length to make an acre, allowing 20 links to a rod. Ans. 15.238 rds. The same question done the common way. Ans. 15 rds. 4t links. 5. How much in length, of that which is 5 rods wide, will make an acre? Ans. 32 rds. Ans. 32 rds. The same question done the common way. |